|
#############################################################################
##
#W ctoline2.tbl GAP table library Thomas Breuer
##
## This file contains the ordinary character tables related to the
## linear groups $L_2(49)$ and $L_2(81)$ of the ATLAS.
##
#H ctbllib history
#H ---------------
#H $Log: ctoline2.tbl,v $
#H Revision 4.15 2012/01/30 08:31:43 gap
#H removed #H entries from the headers
#H TB
#H
#H Revision 4.14 2011/09/28 14:32:12 gap
#H removed revision entry and SET_TABLEFILENAME call
#H TB
#H
#H Revision 4.13 2010/05/05 13:20:01 gap
#H - added many class fusions,
#H - changed several class fusions according to consistency conditions,
#H after systematic checks of consistency
#H - with Brauer tables w.r.t. the restriction of characters,
#H - of subgroup fusions with the corresponding subgroup fusions between
#H proper factors where the factor fusions are stored,
#H - of subgroup fusions from maximal subgroups with subgroup fusions of
#H extensions inside automorphic extensions
#H
#H TB
#H
#H Revision 4.12 2009/04/22 12:39:01 gap
#H added missing maxes of He.2, ON.2, HN.2, Fi24, and B
#H TB
#H
#H Revision 4.11 2006/06/07 07:28:52 gap
#H added fusion L2(49).2_3 -> B
#H TB
#H
#H Revision 4.10 2005/08/10 14:33:20 gap
#H corrected InfoText values concerning GV4 constructions,
#H added table of 2^2.L3(4).2_1 and related fusions
#H TB
#H
#H Revision 4.9 2004/08/31 12:33:33 gap
#H added tables of 4.L2(25).2_3,
#H L2(49).2^2,
#H L2(81).2^2,
#H L2(81).(2x4),
#H 3.L3(4).3.2_2,
#H L3(9).2^2,
#H L4(4).2^2,
#H 2x2^3:L3(2)x2,
#H (2xA6).2^2,
#H 2xL2(11).2,
#H S3xTh,
#H 41:40,
#H 7^(1+4):(3x2.S7),
#H 7xL2(8),
#H (7xL2(8)).3,
#H O7(3)N3A,
#H O8+(3).2_1',
#H O8+(3).2_1'',
#H O8+(3).2_2',
#H O8+(3).(2^2)_{122},
#H S4(9),
#H S4(9).2_i,
#H 2.U4(3).2_2',
#H 2.U4(3).(2^2)_{133},
#H 2.U4(3).D8,
#H 3.U6(2).S3,
#H added fusions 3.A6.2_i -> 3.A6.2^2,
#H L2(49).2_i -> L2(49).2^2,
#H L3(9).2_i -> L3(9).2^2,
#H L4(4).2_i -> L4(4).2^2,
#H G2(3) -> O7(3),
#H L2(17) -> S8(2),
#H 2.L3(4).2_2 -> 2.M22.2
#H 3.L3(4).2_2 -> 3.L3(4).3.2_2
#H 3.L3(4).3 -> 3.L3(4).3.2_2
#H 2^5:S6 -> 2.M22.2
#H O8+(3) -> O8+(3).2_1',
#H O8+(3) -> O8+(3).2_1'',
#H O8+(3) -> O8+(3).2_2',
#H O8+(3) -> O8+(3).(2^2)_{122},
#H O8+(3).2_1 -> O8+(3).(2^2)_{122},
#H O8+(3).2_2 -> O8+(3).(2^2)_{122},
#H 2.U4(3) -> 2.U4(3).2_2',
#H 2.U4(3).2_1 -> 2.U4(3).(2^2)_{133},
#H 2.U4(3).2_2 -> O7(3),
#H 2.U4(3).2_2' -> U4(3).2_2,
#H 2.U4(3).2_3 -> 2.U4(3).(2^2)_{133},
#H 2.U4(3).2_3' -> 2.U4(3).(2^2)_{133},
#H 2.U4(3).4 -> 2.U4(3).D8,
#H 3.U6(2).2 -> 3.U6(2).S3,
#H 3.U6(2).3 -> 3.U6(2).S3,
#H replaced table of psl(3,4):d12 by L3(4).D12,
#H changed table of O8+(3).S4 to a construction table,
#H changed encoding of the table of 12.A6.2_3,
#H added maxes of Sz(8), Sz(8).3,
#H TB
#H
#H Revision 4.8 2003/05/15 17:38:03 gap
#H next step towards the closer connection to the library of tables of marks:
#H added fusions tbl -> tom, adjusted fusions between character tables
#H in order to make the diagrams commute, adjusted orderings of maxes
#H TB
#H
#H Revision 4.7 2002/11/18 17:20:20 gap
#H added fusion L2(81).4_1 -> O8-(3).2_1
#H TB
#H
#H Revision 4.6 2002/07/12 06:45:55 gap
#H further tidying up: removed `irredinfo' stuff, rearranged constructions
#H TB
#H
#H Revision 4.5 2001/05/04 16:47:35 gap
#H first revision for ctbllib
#H
#H
#H tbl history (GAP 4)
#H -------------------
#H (Rev. 4.5 of ctbllib coincides with Rev. 4.4 of tbl in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tbl/ctoline2.tbl,v
#H Working file: ctoline2.tbl
#H head: 4.4
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.4.0.6
#H GAP4R2PRE2: 4.4.0.4
#H GAP4R2PRE1: 4.4.0.2
#H GAP4R1: 4.3.0.2
#H keyword substitution: kv
#H total revisions: 5; selected revisions: 5
#H description:
#H ----------------------------
#H revision 4.4
#H date: 1999/10/21 14:15:46; author: gap; state: Exp; lines: +18 -30
#H added many `tomidentifer' and `tomfusion' values, which yields a better
#H interface between `tom' and `tbl';
#H
#H added maxes of McL.2,
#H
#H unified tables `J2.2M4', `2^(2+4):(3x3):2^2', `2^(2+4):(S3xS3)'.
#H
#H TB
#H ----------------------------
#H revision 4.3
#H date: 1999/07/14 11:39:38; author: gap; state: Exp; lines: +4 -3
#H cosmetic changes for the release ...
#H
#H TB
#H ----------------------------
#H revision 4.2
#H date: 1997/11/25 15:44:46; author: gap; state: Exp; lines: +3 -3
#H first attempt to link the library of character tables and the
#H library of tables of marks
#H TB
#H ----------------------------
#H revision 4.1
#H date: 1997/07/17 15:40:00; author: fceller; state: Exp; lines: +2 -2
#H for version 4
#H ----------------------------
#H revision 1.1
#H date: 1996/10/21 15:59:30; author: sam; state: Exp;
#H first proposal of the table library
#H ==========================================================================
##
MOT("2.L2(49)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]"
],
[117600,117600,48,48,48,48,48,50,50,50,50,48,48,98,98,98,98,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,
50,50,50,50],
[,[1,1,2,4,4,3,3,10,10,8,8,5,5,14,14,16,16,6,6,7,7,12,12,13,13,22,22,24,24,23,
23,25,25,44,44,42,42,48,48,46,46,52,52,50,50,36,36,34,34,40,40,38,38],[1,2,3,
1,2,7,6,10,11,8,9,3,3,14,15,16,17,20,21,19,18,7,6,7,6,20,21,21,20,19,18,18,19,
52,53,50,51,36,37,34,35,40,41,38,39,44,45,42,43,48,49,46,47],,[1,2,3,4,5,7,6,
1,2,1,2,13,12,14,15,16,17,21,20,18,19,25,24,23,22,32,33,30,31,29,28,27,26,8,9,
10,11,8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,11],,[1,2,3,4,5,6,7,10,11,8,9,13,
12,1,2,1,2,19,18,21,20,24,25,22,23,28,29,26,27,32,33,30,31,36,37,34,35,40,41,
38,39,44,45,42,43,48,49,46,47,52,53,50,51]],
0,
[(18,19)(20,21)(26,27)(28,29)(30,31)(32,33),(14,16)(15,17),(12,13)(22,24)
(23,25)(26,29)(27,28)(30,33)(31,32),( 8,10)( 9,11)(34,44,50,40,46,36,42,52,38,
48)(35,45,51,41,47,37,43,53,39,49),( 6, 7)(18,21,19,20)(22,23)(24,25)
(26,31,27,30)(28,33,29,32),( 6, 7)(12,13)(18,21,19,20)(22,25)(23,24)
(26,32,27,33)(28,30,29,31),(34,50,46,42,38)(35,51,47,43,39)(36,52,48,44,40)
(37,53,49,45,41)],
["ConstructProj",[["L2(49)",[]],["2.L2(49)",[]]]]);
ALF("2.L2(49)","L2(49)",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,
12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,
24,25,25,26,26,27,27]);
ALF("2.L2(49)","2.L2(49).2_1",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2.L2(49)","2.L2(49).2_2",[1,2,3,4,5,6,7,8,9,8,9,10,10,11,12,13,14,15,
15,16,16,17,18,17,18,19,20,19,20,21,22,21,22,23,24,23,24,25,26,25,26,27,
28,27,28,29,30,29,30,31,32,31,32],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
MOT("2.L2(49).2_1",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]"
],
[235200,235200,96,96,96,96,96,100,100,100,100,96,96,98,98,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,100,100,100,100,100,100,100,100,100,100,100,100,
100,100,100,100,100,100,100,100,100,100,100,100,100,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,100,100,100,100,100,100,100,
100,100,100,100,100,100,100,100,100,100,100,100,100],
[,[1,1,2,4,4,3,3,10,10,8,8,5,5,14,14,6,6,7,7,12,12,13,13,20,20,22,22,21,21,23,
23,42,42,40,40,46,46,44,44,50,50,48,48,34,34,32,32,38,38,36,36,2,11,11,9,9,16,
16,17,17,18,18,19,19,24,24,26,26,28,28,30,30,25,25,27,27,29,29,31,31,43,43,41,
41,47,47,45,45,51,51,49,49,35,35,33,33,39,39,37,37],[1,2,3,1,2,7,6,10,11,8,9,
3,3,14,15,18,19,17,16,7,6,7,6,18,19,19,18,17,16,16,17,50,51,48,49,34,35,32,33,
38,39,36,37,42,43,40,41,46,47,44,45,52,55,56,54,53,61,62,63,64,59,60,58,57,61,
62,63,64,59,60,58,57,63,64,62,61,58,57,60,59,99,100,98,97,83,84,82,81,87,88,
86,85,91,92,90,89,95,96,94,93],,[1,2,3,4,5,7,6,1,2,1,2,13,12,14,15,19,18,16,
17,23,22,21,20,30,31,28,29,27,26,25,24,8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,
11,8,9,10,11,52,52,52,52,52,63,64,62,61,58,57,60,59,71,72,70,69,75,76,74,73,
79,80,78,77,68,67,65,66,53,54,55,56,53,54,55,56,53,54,55,56,53,54,55,56,53,54,
55,56],,[1,2,3,4,5,6,7,10,11,8,9,13,12,1,2,17,16,19,18,22,23,20,21,26,27,24,
25,30,31,28,29,34,35,32,33,38,39,36,37,42,43,40,41,46,47,44,45,50,51,48,49,52,
56,55,53,54,60,59,57,58,64,63,61,62,68,67,65,66,72,71,69,70,76,75,73,74,80,79,
77,78,84,83,81,82,88,87,85,86,92,91,89,90,96,95,93,94,100,99,97,98]],
0,
[(57,58)(59,60)(61,62)(63,64)(65,66)(67,68)(69,70)(71,72)(73,74)(75,76)(77,78)
(79,80),(16,17)(18,19)(24,25)(26,27)(28,29)(30,31)(57,59,58,60)(61,63,62,64)
(65,73,66,74)(67,75,68,76)(69,77,70,78)(71,79,72,80),(12,13)(20,22)(21,23)
(24,27)(25,26)(28,31)(29,30)(65,76)(66,75)(67,73)(68,74)(69,80)(70,79)(71,77)
(72,78),( 12, 13)( 20, 22)( 21, 23)( 24, 27)( 25, 26)( 28, 31)( 29, 30)
( 53, 54)( 55, 56)( 65, 76)( 66, 75)( 67, 73)( 68, 74)( 69, 80)( 70, 79)
( 71, 77)( 72, 78)( 81, 82)( 83, 84)( 85, 86)( 87, 88)( 89, 90)( 91, 92)
( 93, 94)( 95, 96)( 97, 98)( 99,100),( 8, 10)( 9, 11)( 32, 42, 48, 38, 44,
34, 40, 50, 36, 46)( 33, 43, 49, 39, 45, 35, 41, 51, 37, 47)( 53, 55, 54, 56
)( 81, 91, 98, 88, 93, 83, 90,100, 85, 95, 82, 92, 97, 87, 94, 84, 89, 99,
86, 96),( 6, 7)(16,19,17,18)(20,21)(22,23)(24,29,25,28)(26,31,27,30)
(57,63,60,61,58,64,59,62)(65,77,74,69,66,78,73,70)(67,79,76,71,68,80,75,72),
( 6, 7)( 12, 13)( 16, 19, 17, 18)( 20, 23)( 21, 22)( 24, 30, 25, 31)
( 26, 28, 27, 29)( 53, 54)( 55, 56)( 57, 63, 60, 61, 58, 64, 59, 62)
( 65, 71, 74, 80, 66, 72, 73, 79)( 67, 70, 76, 77, 68, 69, 75, 78)( 81, 82)
( 83, 84)( 85, 86)( 87, 88)( 89, 90)( 91, 92)( 93, 94)( 95, 96)( 97, 98)
( 99,100),( 53, 54)( 55, 56)( 81, 82)( 83, 84)( 85, 86)( 87, 88)( 89, 90)
( 91, 92)( 93, 94)( 95, 96)( 97, 98)( 99,100),( 32, 48, 44, 40, 36)
( 33, 49, 45, 41, 37)( 34, 50, 46, 42, 38)( 35, 51, 47, 43, 39)
( 81, 97, 93, 89, 85)( 82, 98, 94, 90, 86)( 83, 99, 95, 91, 87)
( 84,100, 96, 92, 88),(16,17)(18,19)(24,25)(26,27)(28,29)(30,31)(57,60,58,59)
(61,64,62,63)(65,74,66,73)(67,76,68,75)(69,78,70,77)(71,80,72,79),( 6, 7)
(16,19,17,18)(20,21)(22,23)(24,29,25,28)(26,31,27,30)(57,64,60,62,58,63,59,61)
(65,78,74,70,66,77,73,69)(67,80,76,72,68,79,75,71)],
["ConstructProj",[["L2(49).2_1",[]],["2.L2(49).2_1",[]]]]);
ALF("2.L2(49).2_1","L2(49).2_1",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,
11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,
23,23,24,24,25,25,26,26,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,
35,36,36,37,37,38,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,
47,48,48,49,49,50,50,51,51]);
MOT("Isoclinic(2.L2(49).2_1)",
[
"isoclinic group of the 2.L2(49).2_1 given in the ATLAS"
],
0,
0,
0,
[(6,7)(16,18,17,19)(20,21)(22,23)(24,28,25,29)(26,30,27,31)(57,61,59,63,58,62,
60,64)(65,69,73,77,66,70,74,78)(67,71,75,79,68,72,76,80),(32,36,40,44,48)(33,
37,41,45,49)(34,38,42,46,50)(35,39,43,47,51)(81,85,89,93,97)(82,86,90,94,98)
(83,87,91,95,99)(84,88,92,96,100),(8,10)(9,11)(32,34)(33,35)(36,38)(37,39)(40,
42)(41,43)(44,46)(45,47)(48,50)(49,51)(53,55,54,56)(81,83,82,84)(85,87,86,88)
(89,91,90,92)(93,95,94,96)(97,99,98,100),(12,13)(20,22)(21,23)(24,27)(25,26)
(28,31)(29,30)(65,76)(66,75)(67,73)(68,74)(69,80)(70,79)(71,77)(72,78)],
["ConstructIsoclinic",[["2.L2(49).2_1"]]]);
ALF("Isoclinic(2.L2(49).2_1)","L2(49).2_1",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,8,
9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,
21,22,22,23,23,24,24,25,25,26,26,27,28,28,29,29,30,30,31,31,32,32,33,33,
34,34,35,35,36,36,37,37,38,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,
46,46,47,47,48,48,49,49,50,50,51,51]);
MOT("2.L2(49).2_2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]"
],
[235200,235200,96,96,96,96,96,50,50,48,196,196,196,196,48,48,48,48,48,48,48,
48,50,50,50,50,50,50,50,50,50,50,672,672,16,12,12,16,16,28,28,28,28],
[,[1,1,2,4,4,3,3,8,8,5,11,11,13,13,6,7,10,10,17,17,18,18,27,27,29,29,31,31,23,
23,25,25,1,2,3,4,5,6,7,11,11,14,14],[1,2,3,1,2,7,6,8,9,3,11,12,13,14,16,15,7,
6,16,16,15,15,31,32,23,24,25,26,27,28,29,30,33,34,35,33,34,39,38,41,40,42,
43],,[1,2,3,4,5,7,6,1,2,10,11,12,13,14,16,15,18,17,21,22,20,19,8,9,8,9,8,9,8,
9,8,9,33,34,35,36,37,39,38,41,40,43,42],,[1,2,3,4,5,6,7,8,9,10,1,2,1,2,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,33,33,34,
34]],
0,
[(42,43),(40,41),(40,41)(42,43),(23,27,31,25,29)(24,28,32,26,30),(19,20)
(21,22),(19,20)(21,22)(42,43),( 6, 7)(15,16)(17,18)(19,21,20,22)(38,39),
( 6, 7)(15,16)(17,18)(19,21,20,22)(38,39)(42,43),( 6, 7)(15,16)(17,18)
(19,22,20,21)(38,39)],
["ConstructProj",[["L2(49).2_2",[]],["2.L2(49).2_2",[]]]]);
ALF("2.L2(49).2_2","L2(49).2_2",[1,1,2,3,3,4,4,5,5,6,7,7,8,8,9,10,11,11,
12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,20,21,22,23,24,25,26,26,27,
27]);
MOT("Isoclinic(2.L2(49)x2)",
[
"central product of 2.L2(49) with a cyclic group of order 4,\n",
"subgroup of 4.L2(49).2_3"
],
[235200,235200,235200,235200,96,96,96,96,96,96,96,96,96,96,100,100,100,100,100
,100,100,100,96,96,96,96,196,196,196,196,196,196,196,196,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,100
,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,
100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,
100],
[,[1,3,1,3,3,1,7,9,7,9,5,5,5,5,19,21,19,21,15,17,15,17,9,7,9,7,27,29,27,29,31,
33,31,33,11,13,11,13,13,11,13,11,23,25,23,25,25,23,25,23,43,45,43,45,47,49,47,
49,45,43,45,43,49,47,49,47,87,89,87,89,83,85,83,85,95,97,95,97,91,93,91,93,103
,105,103,105,99,101,99,101,71,73,71,73,67,69,67,69,79,81,79,81,75,77,75,77],[1
,4,3,2,5,6,1,4,3,2,13,12,11,14,19,22,21,20,15,18,17,16,5,6,5,6,27,30,29,28,31,
34,33,32,39,42,41,40,37,36,35,38,13,12,11,14,13,12,11,14,39,42,41,40,41,40,39,
42,37,36,35,38,35,38,37,36,103,106,105,104,99,102,101,100,71,74,73,72,67,70,69
,68,79,82,81,80,75,78,77,76,87,90,89,88,83,86,85,84,95,98,97,96,91,94,93,92],,
[1,2,3,4,5,6,7,8,9,10,13,14,11,12,1,2,3,4,1,2,3,4,25,26,23,24,27,28,29,30,31,
32,33,34,41,42,39,40,35,36,37,38,49,50,47,48,45,46,43,44,63,64,65,66,59,60,61,
62,57,58,55,56,53,54,51,52,15,16,17,18,19,20,21,22,15,16,17,18,19,20,21,22,15,
16,17,18,19,20,21,22,15,16,17,18,19,20,21,22,15,16,17,18,19,20,21,22],,[1,4,3,
2,5,6,7,10,9,8,11,14,13,12,19,22,21,20,15,18,17,16,25,24,23,26,1,4,3,2,1,4,3,2
,37,36,35,38,41,40,39,42,47,50,49,48,43,46,45,44,55,58,57,56,51,54,53,52,63,66
,65,64,59,62,61,60,71,74,73,72,67,70,69,68,79,82,81,80,75,78,77,76,87,90,89,88
,83,86,85,84,95,98,97,96,91,94,93,92,103,106,105,104,99,102,101,100]],
0,
[(35,37)(36,38)(39,41)(40,42)(51,53)(52,54)(55,57)(56,58)(59,61)(60,62)(63,65)
(64,66),(27,31)(28,32)(29,33)(30,34),(23,25)(24,26)(43,47)(44,48)(45,49)(46,50
)(51,57)(52,58)(53,55)(54,56)(59,65)(60,66)(61,63)(62,64),(11,13)(12,14)(35,39
,37,41)(36,40,38,42)(43,45)(44,46)(47,49)(48,50)(51,59,53,61)(52,60,54,62)(55,
63,57,65)(56,64,58,66),(67,75,83,91,99)(68,76,84,92,100)(69,77,85,93,101)(70,
78,86,94,102)(71,79,87,95,103)(72,80,88,96,104)(73,81,89,97,105)(74,82,90,98,
106),(15,19)(16,20)(17,21)(18,22)(67,71)(68,72)(69,73)(70,74)(75,79)(76,80)(77
,81)(78,82)(83,87)(84,88)(85,89)(86,90)(91,95)(92,96)(93,97)(94,98)(99,103)(
100,104)(101,105)(102,106),(2,4)(8,10)(12,14)(16,18)(20,22)(24,26)(28,30)(32,
34)(36,38)(40,42)(44,46)(48,50)(52,54)(56,58)(60,62)(64,66)(68,70)(72,74)(76,
78)(80,82)(84,86)(88,90)(92,94)(96,98)(100,102)(104,106)],
["ConstructIsoclinic",[["2.L2(49)"],["Cyclic",2]]]);
ALF("Isoclinic(2.L2(49)x2)","4.L2(49).2_3",[1,2,3,2,4,5,6,7,8,7,9,10,11,
10,12,13,14,15,12,15,14,13,16,17,16,18,19,20,21,22,19,22,21,20,23,24,23,
25,26,27,26,28,29,30,31,32,29,32,31,30,33,34,35,36,33,36,35,34,37,38,39,
40,37,40,39,38,41,42,43,44,41,44,43,42,45,46,47,48,45,48,47,46,49,50,51,
52,49,52,51,50,53,54,55,56,53,56,55,54,57,58,59,60,57,60,59,58]);
MOT("Isoclinic(L2(49).2_3x2)",
[
"subdirect product of L2(49).2_3 with a cyclic group of order 4,\n",
"factor group of 4.L2(49).2_3"
],
[235200,235200,192,192,96,96,96,96,50,50,96,96,98,98,96,96,96,96,48,48,48,48,
48,48,50,50,50,50,50,50,50,50,50,50,24,24,24,24,24,24,32,32,32,32,32,32,32,32]
,
[,[1,1,1,1,5,5,3,3,9,9,5,5,13,13,7,7,7,7,11,11,19,19,19,19,29,29,31,31,33,33,
25,25,27,27,4,4,12,12,12,12,16,16,16,16,18,18,18,18],[1,2,3,4,1,2,7,8,9,10,3,4
,13,14,17,18,15,16,7,8,17,18,15,16,33,34,25,26,27,28,29,30,31,32,36,35,36,35,
36,35,46,45,48,47,44,43,42,41],,[1,2,3,4,5,6,7,8,1,2,11,12,13,14,17,18,15,16,
19,20,23,24,21,22,9,10,9,10,9,10,9,10,9,10,35,36,39,40,37,38,45,46,47,48,43,44
,41,42],,[1,2,3,4,5,6,7,8,9,10,11,12,1,2,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,36,35,38,37,40,39,42,41,44,43,46,45,48,47]],
0,
[(41,43)(42,44)(45,47)(46,48),(37,39)(38,40),(35,36)(37,38)(39,40)(41,42)(43,
44)(45,46)(47,48),(15,17)(16,18)(21,23)(22,24)(41,45,43,47)(42,46,44,48),(25,
27,29,31,33)(26,28,30,32,34)],
["ConstructIsoclinic",[["L2(49).2_3"],["Cyclic",2]]]);
ALF("Isoclinic(L2(49).2_3x2)","C4",[1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,
3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,2,4,2,4,2,4,2,4,2,4,2,4,2,4]);
ALF("Isoclinic(L2(49).2_3x2)","L2(49).2_3",[1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,
8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,
21,21,22,22,23,23,24,24]);
MOT("4.L2(49).2_3",
[
"origin: ATLAS of finite groups"
],
[470400,235200,470400,192,192,192,96,192,192,96,192,100,100,100,100,96,192,192
,196,196,196,196,96,192,192,96,192,192,96,96,96,96,96,96,96,96,96,96,96,96,100
,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,
24,24,24,24,24,24,32,32,32,32,32,32,32,32],
[,[1,3,1,3,1,6,8,6,4,4,4,12,14,12,14,8,6,6,19,21,19,21,9,11,11,11,9,9,16,16,16
,16,29,31,29,31,31,29,31,29,49,51,49,51,53,55,53,55,57,59,57,59,41,43,41,43,45
,47,45,47,5,5,17,17,18,18,24,24,25,25,28,28,27,27],[1,2,3,4,5,1,2,3,11,10,9,12
,13,14,15,4,5,5,19,22,21,20,26,28,27,23,24,25,11,10,9,10,26,28,26,27,23,24,23,
25,57,58,59,60,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,62,61,62,61,62,
61,72,71,74,73,70,69,68,67],,[1,2,3,4,5,6,7,8,11,10,9,1,2,3,2,16,18,17,19,20,
21,22,26,28,27,23,24,25,31,30,29,32,37,40,39,38,35,34,33,36,12,13,14,15,12,13,
14,15,12,13,14,15,12,13,14,15,12,13,14,15,61,62,65,66,63,64,71,72,73,74,69,70,
67,68],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,1,2,3,2,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,62,61,64,63,66,65,68,67,70,69,72,71,74,73]],
0,
[(41,45,49,53,57)(42,46,50,54,58)(43,47,51,55,59)(44,48,52,56,60),(20,22),(17,
18)(30,32)(33,35)(37,39)(63,65)(64,66),(13,15)(42,44)(46,48)(50,52)(54,56)(58,
60),(24,25)(27,28)(33,35)(34,36)(37,39)(38,40)(61,62)(63,64)(65,66)(67,70)(68,
69)(71,74)(72,73),(24,25)(27,28)(33,35)(34,36)(37,39)(38,40)(67,69)(68,70)(71,
73)(72,74),(9,11)(23,26)(24,28,25,27)(29,31)(30,32)(33,39,35,37)(34,40,36,38)(
61,62)(63,64)(65,66)(67,72,69,74)(68,71,70,73)],
["ConstructMGA","Isoclinic(2.L2(49)x2)","Isoclinic(L2(49).2_3x2)",[[55,58],[
56,57],[59,62],[60,61],[63,66],[64,65],[67,70],[68,69],[71,74],[72,73],[75,78]
,[76,77],[79,82],[80,81],[83,86],[84,85],[87,90],[88,89],[91,94],[92,93],[95,
98],[96,97],[99,102],[100,101],[103,106],[104,105]],()]);
ALF("4.L2(49).2_3","Isoclinic(L2(49).2_3x2)",[1,2,1,3,4,5,6,5,7,8,7,9,10,
9,10,11,12,12,13,14,13,14,15,16,16,17,18,18,19,20,19,20,21,22,21,22,23,24,
23,24,25,26,25,26,27,28,27,28,29,30,29,30,31,32,31,32,33,34,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48]);
ALF("4.L2(49).2_3","L2(49).2_3",[1,1,1,2,2,3,3,3,4,4,4,5,5,5,5,6,6,6,7,7,
7,7,8,8,8,9,9,9,10,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,
14,15,15,15,15,16,16,16,16,17,17,17,17,18,18,19,19,20,20,21,21,22,22,23,
23,24,24]);
MOT("2.L2(81)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,41]"
],
[531360,531360,80,162,162,162,162,80,80,80,80,80,80,80,80,80,80,80,80,80,80,
80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,82,82,
82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,82,82,82,82,82],
[,[1,1,2,4,4,6,6,3,3,12,12,10,10,8,8,9,9,13,13,11,11,20,20,21,21,19,19,18,18,
27,27,29,29,25,25,23,23,26,26,28,28,24,24,22,22,72,72,70,70,76,76,74,74,80,80,
78,78,84,84,82,82,48,48,46,46,52,52,50,50,56,56,54,54,60,60,58,58,64,64,62,62,
68,68,66,66],[1,2,3,1,2,1,2,9,8,12,13,10,11,16,17,15,14,20,21,19,18,26,27,28,
29,24,25,22,23,34,35,36,37,32,33,30,31,42,43,44,45,40,41,38,39,50,51,52,53,48,
49,46,47,58,59,60,61,56,57,54,55,66,67,68,69,64,65,62,63,74,75,76,77,72,73,70,
71,82,83,84,85,80,81,78,79],,[1,2,3,4,5,6,7,9,8,1,2,1,2,17,16,14,15,3,3,3,3,9,
8,9,8,8,9,8,9,17,16,16,17,14,15,15,14,14,15,15,14,16,17,17,16,56,57,54,55,60,
61,58,59,64,65,62,63,68,69,66,67,72,73,70,71,76,77,74,75,80,81,78,79,84,85,82,
83,48,49,46,47,52,53,50,51],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,
8,9,10,11,12,13,15,14,17,16,18,19,20,21,22,23,24,25,26,27,28,29,31,30,33,32,
35,34,37,36,39,38,41,40,43,42,45,44,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,
2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]],
0,
[(46,76,56,82,62,52,72,58,78,68,48,74,54,84,64,50,70,60,80,66)(47,77,57,83,63,
53,73,59,79,69,49,75,55,85,65,51,71,61,81,67),(18,19)(20,21)(22,24)(23,25)
(26,28)(27,29)(30,33)(31,32)(34,37)(35,36)(38,41)(39,40)(42,45)(43,44),(14,15)
(16,17)(30,31)(32,33)(34,35)(36,37)(38,39)(40,41)(42,43)(44,45),(10,12)(11,13)
(18,20,19,21)(22,27,24,29)(23,26,25,28)(30,43,33,44)(31,42,32,45)(34,41,37,38)
(35,40,36,39),( 8, 9)(14,17,15,16)(22,23)(24,25)(26,27)(28,29)(30,39,31,38)
(32,41,33,40)(34,43,35,42)(36,45,37,44),(4,6)(5,7)],
["ConstructProj",[["L2(81)",[]],["2.L2(81)",[]]]]);
ALF("2.L2(81)","L2(81)",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,
12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,
24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35,36,
36,37,37,38,38,39,39,40,40,41,41,42,42,43,43]);
ALF("2.L2(81)","2.L2(81).2_1",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,14,15,15,
16,16,17,17,18,19,18,19,20,21,20,21,22,23,22,23,24,25,24,25,26,27,26,27,
28,29,28,29,30,31,30,31,32,33,32,33,34,35,34,35,36,37,36,37,38,39,38,39,
40,41,40,41,42,43,42,43,44,45,44,45,46,47,46,47,48,49,48,49],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2.L2(81)","2.L2(81).4_1",[1,2,3,4,5,6,7,8,8,9,10,9,10,11,11,11,11,12,
12,12,12,13,14,13,14,13,14,13,14,15,16,15,16,15,16,15,16,17,18,17,18,17,
18,17,18,19,20,19,20,19,20,19,20,21,22,21,22,21,22,21,22,23,24,23,24,23,
24,23,24,25,26,25,26,25,26,25,26,27,28,27,28,27,28,27,28],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2.L2(81)","2.L2(81).2_2",[1,2,3,4,5,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
MOT("2.L2(81).2_1",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,41]"
],
[1062720,1062720,160,324,324,324,324,160,160,160,160,160,160,80,80,80,80,80,
80,80,80,80,80,80,80,80,80,80,80,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,
82,82,82,82,82,1440,1440,16,36,36,36,36,16,16,20,20,20,20],
[,[1,1,2,4,4,6,6,3,3,12,12,10,10,8,9,13,11,17,17,16,16,21,21,19,19,20,20,18,
18,42,42,44,44,46,46,48,48,30,30,32,32,34,34,36,36,38,38,40,40,1,2,3,4,4,7,7,
9,8,12,10,13,11],[1,2,3,1,2,1,2,9,8,12,13,10,11,15,14,17,16,20,21,18,19,24,25,
22,23,28,29,26,27,32,33,30,31,36,37,34,35,40,41,38,39,44,45,42,43,48,49,46,47,
50,51,52,50,50,51,51,58,57,60,59,62,61],,[1,2,3,4,5,6,7,9,8,1,2,1,2,15,14,3,3,
9,8,8,9,15,15,14,14,14,14,15,15,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,30,31,32,33,50,51,52,53,54,55,56,58,57,50,50,51,
51],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,23,22,25,24,27,26,29,28,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,
1,2,50,51,52,53,54,55,56,57,58,59,60,61,62]],
0,
[(55,56),(53,54),(30,44,34,48,38,32,42,36,46,40)(31,45,35,49,39,33,43,37,47,41
),(22,23)(24,25)(26,27)(28,29)(55,56),(10,12)(11,13)(16,17)(18,21)(19,20)
(22,29,23,28)(24,27,25,26)(59,60)(61,62),( 8, 9)(14,15)(18,19)(20,21)
(22,27,23,26)(24,29,25,28)(57,58)],
["ConstructProj",[["L2(81).2_1",[]],["2.L2(81).2_1",[]]]]);
ALF("2.L2(81).2_1","L2(81).2_1",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,9,10,11,12,
12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,
24,25,25,26,26,27,27,28,29,30,31,31,32,32,33,34,35,36,37,38]);
ALF("2.L2(81).2_1","2.L2(81).4_1",[1,2,3,4,5,6,7,8,8,9,10,9,10,11,11,12,
12,13,14,13,14,15,16,15,16,17,18,17,18,19,20,19,20,21,22,21,22,23,24,23,
24,25,26,25,26,27,28,27,28,29,30,31,32,33,34,35,36,36,37,37,38,38],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
MOT("2.L2(81).2_2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]"
],
[1062720,1062720,160,162,162,160,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164],
[,[1,1,2,4,4,3,3,10,10,8,8,6,6,7,7,11,11,9,9,18,18,19,19,17,17,16,16,25,25,27,
27,23,23,21,21,24,24,26,26,22,22,20,20,70,70,68,68,74,74,72,72,78,78,76,76,82,
82,80,80,46,46,44,44,50,50,48,48,54,54,52,52,58,58,56,56,62,62,60,60,66,66,64,
64,2,12,12,13,13,14,14,15,15,41,41,43,43,39,39,37,37,32,32,34,34,30,30,28,28,
40,40,42,42,38,38,36,36,33,33,35,35,31,31,29,29,71,71,69,69,75,75,73,73,79,79,
77,77,83,83,81,81,47,47,45,45,51,51,49,49,55,55,53,53,59,59,57,57,63,63,61,61,
67,67,65,65],[1,2,3,1,2,7,6,10,11,8,9,14,15,13,12,18,19,17,16,24,25,26,27,22,
23,20,21,32,33,34,35,30,31,28,29,40,41,42,43,38,39,36,37,48,49,50,51,46,47,44,
45,56,57,58,59,54,55,52,53,64,65,66,67,62,63,60,61,72,73,74,75,70,71,68,69,80,
81,82,83,78,79,76,77,84,89,90,91,92,87,88,86,85,97,98,99,100,95,96,94,93,105,
106,107,108,103,104,102,101,113,114,115,116,111,112,110,109,121,122,123,124,
119,120,118,117,129,130,131,132,127,128,126,125,137,138,139,140,135,136,134,
133,145,146,147,148,143,144,142,141,153,154,155,156,151,152,150,149,161,162,
163,164,159,160,158,157],,[1,2,3,4,5,7,6,1,2,1,2,15,14,12,13,3,3,3,3,7,6,7,6,
6,7,6,7,15,14,14,15,12,13,13,12,12,13,13,12,14,15,15,14,54,55,52,53,58,59,56,
57,62,63,60,61,66,67,64,65,70,71,68,69,74,75,72,73,78,79,76,77,82,83,80,81,46,
47,44,45,50,51,48,49,84,91,92,90,89,86,85,88,87,91,92,90,89,86,85,88,87,86,85,
88,87,90,89,92,91,90,89,92,91,88,87,85,86,88,87,85,86,92,91,89,90,135,136,134,
133,139,140,138,137,143,144,142,141,147,148,146,145,151,152,150,149,155,156,
154,153,159,160,158,157,163,164,162,161,127,128,126,125,131,132,130,
129],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,13,12,15,14,
16,17,18,19,20,21,22,23,24,25,26,27,29,28,31,30,33,32,35,34,37,36,39,38,41,40,
43,42,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,
1,2,1,2,84,87,88,86,85,91,92,90,89,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,94,93,96,95,98,97,100,99,102,101,104,103,106,105,108,
107,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84]],
0,
[( 85, 86)( 87, 88)( 89, 90)( 91, 92)( 93, 94)( 95, 96)( 97, 98)( 99,100)
(101,102)(103,104)(105,106)(107,108)(109,110)(111,112)(113,114)(115,116)
(117,118)(119,120)(121,122)(123,124),( 44, 74, 54, 80, 60, 50, 70, 56, 76, 66,
46, 72, 52, 82, 62, 48, 68, 58, 78, 64)( 45, 75, 55, 81, 61, 51, 71, 57, 77,
67, 47, 73, 53, 83, 63, 49, 69, 59, 79, 65)(125,155,136,161,142,132,151,138,
157,147,128,153,134,164,143,130,149,139,160,145,126,156,135,162,141,131,152,
137,158,148,127,154,133,163,144,129,150,140,159,146),( 16, 17)( 18, 19)
( 20, 22)( 21, 23)( 24, 26)( 25, 27)( 28, 31)( 29, 30)( 32, 35)( 33, 34)
( 36, 39)( 37, 38)( 40, 43)( 41, 42)( 93,112)( 94,111)( 95,109)( 96,110)
( 97,116)( 98,115)( 99,113)(100,114)(101,120)(102,119)(103,117)(104,118)
(105,124)(106,123)(107,121)(108,122)(125,126)(127,128)(129,130)(131,132)
(133,134)(135,136)(137,138)(139,140)(141,142)(143,144)(145,146)(147,148)
(149,150)(151,152)(153,154)(155,156)(157,158)(159,160)(161,162)(163,164),
( 12, 13)( 14, 15)( 28, 29)( 30, 31)( 32, 33)( 34, 35)( 36, 37)( 38, 39)
( 40, 41)( 42, 43)( 85, 87, 86, 88)( 89, 91, 90, 92)( 93,109, 94,110)
( 95,111, 96,112)( 97,113, 98,114)( 99,115,100,116)(101,117,102,118)
(103,119,104,120)(105,121,106,122)(107,123,108,124),( 8, 10)( 9, 11)
( 16, 18, 17, 19)( 20, 25, 22, 27)( 21, 24, 23, 26)( 28, 41, 31, 42)
( 29, 40, 30, 43)( 32, 39, 35, 36)( 33, 38, 34, 37)( 93,122,112,108)
( 94,121,111,107)( 95,124,109,105)( 96,123,110,106)( 97,120,116,101)
( 98,119,115,102)( 99,117,113,103)(100,118,114,104),( 6, 7)( 12, 15, 13, 14)
( 20, 21)( 22, 23)( 24, 25)( 26, 27)( 28, 37, 29, 36)( 30, 39, 31, 38)
( 32, 41, 33, 40)( 34, 43, 35, 42)( 85, 91, 88, 89, 86, 92, 87, 90)
( 93,117,110,101, 94,118,109,102)( 95,119,112,103, 96,120,111,104)
( 97,121,114,105, 98,122,113,106)( 99,123,116,107,100,124,115,108),(125,126)
(127,128)(129,130)(131,132)(133,134)(135,136)(137,138)(139,140)(141,142)
(143,144)(145,146)(147,148)(149,150)(151,152)(153,154)(155,156)(157,158)
(159,160)(161,162)(163,164)],
["ConstructProj",[["L2(81).2_2",[]],["2.L2(81).2_2",[]]]]);
ALF("2.L2(81).2_2","L2(81).2_2",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,
11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,
23,23,24,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,
35,35,36,36,37,37,38,38,39,39,40,40,41,41,42,42,43,44,44,45,45,46,46,47,
47,48,48,49,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,
59,60,60,61,61,62,62,63,63,64,64,65,65,66,66,67,67,68,68,69,69,70,70,71,
71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,80,81,81,82,82,83,
83]);
MOT("Isoclinic(2.L2(81).2_2)",
[
"isoclinic group of the 2.L2(81).2_2 given in the ATLAS"
],
0,
0,
0,
[(44,48,46,50)(45,49,47,51)(52,56,54,58)(53,57,55,59)(60,64,62,66)(61,65,63,
67)(68,72,70,74)(69,73,71,75)(76,80,78,82)(77,81,79,83)(125,129,127,131,126,
130,128,132)(133,137,135,139,134,138,136,140)(141,145,143,147,142,146,144,148)
(149,153,151,155,150,154,152,156)(157,161,159,163,158,162,160,164),(6,7)(12,
14,13,15)(20,21)(22,23)(24,25)(26,27)(28,36,29,37)(30,38,31,39)(32,40,33,41)
(34,42,35,43)(85,89,87,91,86,90,88,92)(93,101,109,117,94,102,110,118)(95,103,
111,119,96,104,112,120)(97,105,113,121,98,106,114,122)(99,107,115,123,100,108,
116,124),(44,52,60,68,76)(45,53,61,69,77)(46,54,62,70,78)(47,55,63,71,79)(48,
56,64,72,80)(49,57,65,73,81)(50,58,66,74,82)(51,59,67,75,83)(125,133,141,149,
157)(126,134,142,150,158)(127,135,143,151,159)(128,136,144,152,160)(129,137,
145,153,161)(130,138,146,154,162)(131,139,147,155,163)(132,140,148,156,164),
(8,10)(9,11)(16,18,17,19)(20,25,22,27)(21,24,23,26)(28,41,31,42)(29,40,30,43)
(32,39,35,36)(33,38,34,37)(93,122,112,108)(94,121,111,107)(95,124,109,105)(96,
123,110,106)(97,120,116,101)(98,119,115,102)(99,117,113,103)(100,118,114,
104)],
["ConstructIsoclinic",[["2.L2(81).2_2"]]]);
ALF("Isoclinic(2.L2(81).2_2)","L2(81).2_2",[1,1,2,3,3,4,4,5,5,6,6,7,7,8,8,
9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,
21,22,22,23,23,24,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,33,
33,34,34,35,35,36,36,37,37,38,38,39,39,40,40,41,41,42,42,43,44,44,45,45,
46,46,47,47,48,48,49,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,57,
58,58,59,59,60,60,61,61,62,62,63,63,64,64,65,65,66,66,67,67,68,68,69,69,
70,70,71,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,80,81,81,
82,82,83,83]);
MOT("Isoclinic(2.L2(81)x2)",
[
"central product of 2.L2(81) with a cyclic group of order 4,\n",
"subgroup of 4.L2(81).2_3, 4.L2(81).4_2"
],
[1062720,1062720,1062720,1062720,160,160,324,324,324,324,324,324,324,324,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164],
[,[1,3,1,3,3,1,7,9,7,9,11,13,11,13,5,5,5,5,23,25,23,25,19,21,19,21,15,17,15,17
,17,15,17,15,25,23,25,23,21,19,21,19,39,41,39,41,41,39,41,39,37,35,37,35,35,37
,35,37,53,51,53,51,57,55,57,55,49,47,49,47,45,43,45,43,51,53,51,53,55,57,55,57
,47,49,47,49,43,45,43,45,143,145,143,145,139,141,139,141,151,153,151,153,147,
149,147,149,159,161,159,161,155,157,155,157,167,169,167,169,163,165,163,165,95
,97,95,97,91,93,91,93,103,105,103,105,99,101,99,101,111,113,111,113,107,109,
107,109,119,121,119,121,115,117,115,117,127,129,127,129,123,125,123,125,135,
137,135,137,131,133,131,133],[1,4,3,2,5,6,1,4,3,2,1,4,3,2,17,16,15,18,23,26,25
,24,19,22,21,20,31,34,33,32,29,28,27,30,39,42,41,40,37,36,35,38,51,54,53,52,55
,58,57,56,47,50,49,48,43,46,45,44,67,70,69,68,71,74,73,72,63,66,65,64,59,62,61
,60,83,86,85,84,87,90,89,88,79,82,81,80,75,78,77,76,99,102,101,100,103,106,105
,104,95,98,97,96,91,94,93,92,115,118,117,116,119,122,121,120,111,114,113,112,
107,110,109,108,131,134,133,132,135,138,137,136,127,130,129,128,123,126,125,
124,147,150,149,148,151,154,153,152,143,146,145,144,139,142,141,140,163,166,
165,164,167,170,169,168,159,162,161,160,155,158,157,156],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,17,18,15,16,1,2,3,4,1,2,3,4,33,34,31,32,27,28,29,30,5,6,5,6,5,6
,5,6,17,18,15,16,17,18,15,16,15,16,17,18,15,16,17,18,33,34,31,32,31,32,33,34,
27,28,29,30,29,30,27,28,27,28,29,30,29,30,27,28,31,32,33,34,33,34,31,32,111,
112,113,114,107,108,109,110,119,120,121,122,115,116,117,118,127,128,129,130,
123,124,125,126,135,136,137,138,131,132,133,134,143,144,145,146,139,140,141,
142,151,152,153,154,147,148,149,150,159,160,161,162,155,156,157,158,167,168,
169,170,163,164,165,166,95,96,97,98,91,92,93,94,103,104,105,106,99,100,101,102
],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,29,30,27,28,33,34,31,32,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,61,62,59,60,65,66,63,64,69,70,
67,68,73,74,71,72,77,78,75,76,81,82,79,80,85,86,83,84,89,90,87,88,1,2,3,4,1,2,
3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,
2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4]],
0,
[(35,37)(36,38)(39,41)(40,42)(43,47)(44,48)(45,49)(46,50)(51,55)(52,56)(53,57)
(54,58)(59,65)(60,66)(61,63)(62,64)(67,73)(68,74)(69,71)(70,72)(75,81)(76,82)(
77,79)(78,80)(83,89)(84,90)(85,87)(86,88),(27,29)(28,30)(31,33)(32,34)(59,61)(
60,62)(63,65)(64,66)(67,69)(68,70)(71,73)(72,74)(75,77)(76,78)(79,81)(80,82)(
83,85)(84,86)(87,89)(88,90),(19,23)(20,24)(21,25)(22,26)(35,39,37,41)(36,40,38
,42)(43,53,47,57)(44,54,48,58)(45,51,49,55)(46,52,50,56)(59,85,65,87)(60,86,66
,88)(61,83,63,89)(62,84,64,90)(67,81,73,75)(68,82,74,76)(69,79,71,77)(70,80,72
,78),(15,17)(16,18)(27,31,29,33)(28,32,30,34)(43,45)(44,46)(47,49)(48,50)(51,
53)(52,54)(55,57)(56,58)(59,75,61,77)(60,76,62,78)(63,79,65,81)(64,80,66,82)(
67,83,69,85)(68,84,70,86)(71,87,73,89)(72,88,74,90),(7,11)(8,12)(9,13)(10,14),
(91,95)(92,96)(93,97)(94,98)(99,103)(100,104)(101,105)(102,106)(107,111)(108,
112)(109,113)(110,114)(115,119)(116,120)(117,121)(118,122)(123,127)(124,128)(
125,129)(126,130)(131,135)(132,136)(133,137)(134,138)(139,143)(140,144)(141,
145)(142,146)(147,151)(148,152)(149,153)(150,154)(155,159)(156,160)(157,161)(
158,162)(163,167)(164,168)(165,169)(166,170),(91,99,95,103)(92,100,96,104)(93,
101,97,105)(94,102,98,106)(107,115,111,119)(108,116,112,120)(109,117,113,121)(
110,118,114,122)(123,131,127,135)(124,132,128,136)(125,133,129,137)(126,134,
130,138)(139,147,143,151)(140,148,144,152)(141,149,145,153)(142,150,146,154)(
155,163,159,167)(156,164,160,168)(157,165,161,169)(158,166,162,170),(91,107,
123,139,155)(92,108,124,140,156)(93,109,125,141,157)(94,110,126,142,158)(95,
111,127,143,159)(96,112,128,144,160)(97,113,129,145,161)(98,114,130,146,162)(
99,115,131,147,163)(100,116,132,148,164)(101,117,133,149,165)(102,118,134,150,
166)(103,119,135,151,167)(104,120,136,152,168)(105,121,137,153,169)(106,122,
138,154,170),(2,4)(8,10)(12,14)(16,18)(20,22)(24,26)(28,30)(32,34)(36,38)(40,
42)(44,46)(48,50)(52,54)(56,58)(60,62)(64,66)(68,70)(72,74)(76,78)(80,82)(84,
86)(88,90)(92,94)(96,98)(100,102)(104,106)(108,110)(112,114)(116,118)(120,122)
(124,126)(128,130)(132,134)(136,138)(140,142)(144,146)(148,150)(152,154)(156,
158)(160,162)(164,166)(168,170)],
["ConstructIsoclinic",[["2.L2(81)"],["Cyclic",2]]]);
ALF("Isoclinic(2.L2(81)x2)","4.L2(81).2_3",[1,2,3,2,4,5,6,7,8,9,6,9,8,7,
10,11,12,11,13,14,15,14,16,17,18,17,19,20,19,21,22,23,22,24,25,26,25,27,
28,29,28,30,31,32,33,34,31,34,33,32,35,36,37,38,35,38,37,36,39,40,41,42,
39,42,41,40,43,44,45,46,43,46,45,44,47,48,49,50,47,50,49,48,51,52,53,54,
51,54,53,52,55,56,57,58,55,58,57,56,59,60,61,62,59,62,61,60,63,64,65,66,
63,66,65,64,67,68,69,70,67,70,69,68,71,72,73,74,71,74,73,72,75,76,77,78,
75,78,77,76,79,80,81,82,79,82,81,80,83,84,85,86,83,86,85,84,87,88,89,90,
87,90,89,88,91,92,93,94,91,94,93,92]);
ALF("Isoclinic(2.L2(81)x2)","4.L2(81).4_2",[1,35,2,35,3,36,4,37,5,38,4,38,
5,37,6,39,6,40,7,41,8,42,7,42,8,41,9,43,9,43,9,43,9,43,10,44,10,44,10,44,
10,44,11,45,12,46,11,45,12,46,11,46,12,45,11,46,12,45,13,47,14,48,13,47,
14,48,13,48,14,47,13,48,14,47,15,49,16,50,15,49,16,50,15,50,16,49,15,50,
16,49,17,51,18,52,17,51,18,52,17,52,18,51,17,52,18,51,19,53,20,54,19,53,
20,54,19,54,20,53,19,54,20,53,21,55,22,56,21,55,22,56,21,56,22,55,21,56,
22,55,23,57,24,58,23,57,24,58,23,58,24,57,23,58,24,57,25,59,26,60,25,59,
26,60,25,60,26,59,25,60,26,59]);
MOT("Isoclinic(L2(81).2_3x2)",
[
"subdirect product of L2(81).2_3 with a cyclic group of order 4,\n",
"factor group of 4.L2(81).2_3"
],
[1062720,1062720,320,320,162,162,160,160,160,160,160,160,160,160,160,160,160,
160,160,160,80,80,80,80,80,80,80,80,80,80,80,80,82,82,82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,82,82,82,40,40,32,32,32,32,32,32,32,32,40,40,40,40,40,40,
40,40],
[,[1,1,1,1,5,5,3,3,11,11,9,9,7,7,7,7,11,11,9,9,19,19,17,17,23,23,21,21,23,23,
21,21,45,45,47,47,49,49,51,51,33,33,35,35,37,37,39,39,41,41,43,43,4,4,14,14,14
,14,16,16,16,16,20,20,20,20,18,18,18,18],[1,2,3,4,1,2,7,8,11,12,9,10,15,16,13,
14,19,20,17,18,23,24,21,22,27,28,25,26,31,32,29,30,35,36,33,34,39,40,37,38,43,
44,41,42,47,48,45,46,51,52,49,50,54,53,60,59,62,61,58,57,56,55,68,67,70,69,66,
65,64,63],,[1,2,3,4,5,6,7,8,1,2,1,2,15,16,13,14,3,4,3,4,7,8,7,8,15,16,13,14,13
,14,15,16,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,33,34,35,36,53,54,59
,60,61,62,57,58,55,56,53,54,53,54,53,54,53,54],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,53,54,57,58,55,56,61,62
,59,60,63,64,65,66,67,68,69,70]],
0,
[(63,65)(64,66)(67,69)(68,70),(55,57)(56,58)(59,61)(60,62),(53,54)(55,56)(57,
58)(59,60)(61,62)(63,64)(65,66)(67,68)(69,70),(13,15)(14,16)(25,29)(26,30)(27,
31)(28,32)(55,59,57,61)(56,60,58,62),(9,11)(10,12)(17,19)(18,20)(21,23)(22,24)
(25,31)(26,32)(27,29)(28,30)(63,67,65,69)(64,68,66,70),(33,35)(34,36)(37,39)(
38,40)(41,43)(42,44)(45,47)(46,48)(49,51)(50,52),(33,37,41,45,49)(34,38,42,46,
50)(35,39,43,47,51)(36,40,44,48,52)],
["ConstructIsoclinic",[["L2(81).2_3"],["Cyclic",2]]]);
ALF("Isoclinic(L2(81).2_3x2)","C4",[1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,
3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,2,4,2,4,
2,4,2,4,2,4,2,4,2,4,2,4,2,4]);
ALF("Isoclinic(L2(81).2_3x2)","L2(81).2_3",[1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,
8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,
21,21,22,22,23,23,24,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,
33,33,34,34,35,35]);
MOT("4.L2(81).2_3",
[
"origin: ATLAS of finite groups"
],
[2125440,1062720,2125440,320,320,324,324,324,324,320,160,320,320,160,320,320,
160,320,160,320,320,160,320,320,160,320,320,160,320,320,160,160,160,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,160,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,164,
164,164,40,40,32,32,32,32,32,32,32,32,40,40,40,40,40,40,40,40],
[,[1,3,1,3,1,6,8,6,8,4,4,4,16,18,16,13,15,13,10,12,12,12,10,10,18,16,16,15,13,
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81,79,81,83,85,83,85,87,89,87,89,91,93,91,93,55,57,55,57,59,61,59,61,63,65,63,
65,67,69,67,69,71,73,71,73,75,77,75,77,5,5,20,20,21,21,24,24,23,23,29,29,30,30
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28,30,29,25,26,27,35,38,37,36,31,32,33,34,43,46,45,44,39,40,41,42,51,54,53,52,
47,48,49,50,59,62,61,60,55,56,57,58,67,70,69,68,63,64,65,66,75,78,77,76,71,72,
73,74,83,86,85,84,79,80,81,82,91,94,93,92,87,88,89,90,96,95,102,101,104,103,
100,99,98,97,110,109,112,111,108,107,106,105],,[1,2,3,4,5,6,7,8,9,12,11,10,1,2
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76,79,82,81,80,83,86,85,84,87,90,89,88,91,94,93,92,55,58,57,56,59,62,61,60,95,
96,101,102,103,104,99,100,97,98,95,96,95,96,95,96,95,96],,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,20,22,24,23,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,39,40,45,46,43,44,49,50,47,48,
53,54,51,52,1,2,3,2,1,2,3,2,1,2,3,2,1,2,3,2,1,2,3,2,1,2,3,2,1,2,3,2,1,2,3,2,1,
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112]],
0,
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,83)(80,84,82,86)(81,85)(87,91)(88,92,90,94)(89,93),(55,63,71,79,87)(56,64,72,
80,88)(57,65,73,81,89)(58,66,74,82,90)(59,67,75,83,91)(60,68,76,84,92)(61,69,
77,85,93)(62,70,78,86,94),(20,21)(23,24)(39,41)(40,42)(43,45)(44,46)(47,49)(48
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)(31,33)(32,34)(35,37)(36,38)(39,47,41,49)(40,48,42,50)(43,51,45,53)(44,52,46,
54)(97,103,99,101)(98,104,100,102),(13,16)(14,17)(15,18)(25,28)(26,30,27,29)(
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50)(95,96)(97,98)(99,100)(101,102)(103,104)(105,110,107,112)(106,109,108,111),
(13,16)(14,17)(15,18)(25,28)(26,30,27,29)(31,37)(32,36,34,38)(33,35)(39,51,41,
53)(40,54)(42,52)(43,47,45,49)(44,48)(46,50)(105,109,107,111)(106,110,108,112)
,(7,9)(13,16)(14,17)(15,18)(25,28)(26,30,27,29)(31,37)(32,36,34,38)(33,35)(39,
51,41,53)(40,54)(42,52)(43,47,45,49)(44,48)(46,50)(95,96)(97,98)(99,100)(101,
102)(103,104)(105,110,107,112)(106,109,108,111)],
["ConstructMGA","Isoclinic(2.L2(81)x2)","Isoclinic(L2(81).2_3x2)",[[87,90],[
88,89],[91,94],[92,93],[95,98],[96,97],[99,102],[100,101],[103,106],[104,105],
[107,110],[108,109],[111,114],[112,113],[115,118],[116,117],[119,122],[120,121
],[123,126],[124,125],[127,130],[128,129],[131,134],[132,133],[135,138],[136,
137],[139,142],[140,141],[143,146],[144,145],[147,150],[148,149],[151,154],[
152,153],[155,158],[156,157],[159,162],[160,161],[163,166],[164,165],[167,170]
,[168,169]],()]);
ALF("4.L2(81).2_3","Isoclinic(L2(81).2_3x2)",[1,2,1,3,4,5,6,5,6,7,8,7,9,
10,9,11,12,11,13,14,14,15,16,16,17,18,18,19,20,20,21,22,21,22,23,24,23,24,
25,26,25,26,27,28,27,28,29,30,29,30,31,32,31,32,33,34,33,34,35,36,35,36,
37,38,37,38,39,40,39,40,41,42,41,42,43,44,43,44,45,46,45,46,47,48,47,48,
49,50,49,50,51,52,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70]);
ALF("4.L2(81).2_3","L2(81).2_3",[1,1,1,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,
7,8,8,8,9,9,9,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,14,15,
15,15,15,16,16,16,16,17,17,17,17,18,18,18,18,19,19,19,19,20,20,20,20,21,
21,21,21,22,22,22,22,23,23,23,23,24,24,24,24,25,25,25,25,26,26,26,26,27,
27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35]);
MOT("2.L2(81).4_1",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,41]"
],
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82,82,82,82,82,82,82,82,82,2880,2880,32,72,72,72,72,16,20,20,96,96,96,96,16,
16,24,24,24,24,24,24,24,24],
[,[1,1,2,4,4,6,6,3,9,9,8,10,12,12,14,14,13,13,25,25,27,27,19,19,21,21,23,23,1,
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8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,29,29,
30,30,36,37,38,40,39,42,41,44,43,40,40,39,39,42,42,41,41],,[1,2,3,4,5,6,7,8,1,
2,11,3,8,8,11,11,11,11,21,22,23,24,25,26,27,28,19,20,29,30,31,32,33,34,35,36,
29,30,39,40,41,42,43,44,46,45,48,47,49,50,51,
52],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,
15,18,17,1,2,1,2,1,2,1,2,1,2,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
46,45,48,47,50,49,52,51]],
0,
[(49,50)(51,52),(45,46)(47,48),(45,46)(47,48)(49,50)(51,52),(19,25,21,27,23)
(20,26,22,28,24),(15,16)(17,18),(15,16)(17,18)(34,35)(39,40)(41,42)(43,44)
(45,47)(46,48)(49,51)(50,52),(13,14)(15,17,16,18)(34,35)(39,40)(41,42)(43,44)
(45,47)(46,48)(49,52)(50,51),(13,14)(15,18,16,17),(19,27,25,23,21)
(20,28,26,24,22)],
["ConstructProj",[["L2(81).4_1",[]],["2.L2(81).4_1",[]]]]);
ALF("2.L2(81).4_1","L2(81).4_1",[1,1,2,3,3,4,4,5,6,6,7,8,9,9,10,10,11,11,
12,12,13,13,14,14,15,15,16,16,17,18,19,20,20,21,21,22,23,24,25,26,27,28,
29,30,31,31,32,32,33,33,34,34]);
MOT("4.L2(81).4_2",
[
"constructed using `PossibleCharacterTablesOfTypeMGA',\n",
"subgroup of GammaL(2,81)"
],
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164,164,164,164,164,164,164,164,164,2880,64,72,72,64,64,40,40,2125440,640,648,
648,640,640,320,320,160,160,160,160,160,160,160,160,164,164,164,164,164,164,
164,164,164,164,2880,64,72,72,64,64,40,40,16,32,32,16,32,32,16,32,32,16,32,32]
,
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20,22,22,35,36,38,38,39,40,41,42,28,31,32,62,65,66,28,31,32,62,65,66],[1,2,3,1
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65,68,67,35,36,35,35,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,27,28,27,27,32,31,34,33,72,74,73,69,71,70,78,80,79,75,77,76],,[1,2,3,
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27,35,36,37,38,40,39,35,35,43,36,40,39,43,43,43,43,53,54,55,56,57,58,59,60,51,
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,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,14,13,16,15,1,2,1,2,1,2,1,2,1
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[TENSOR,[2,2]],
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[GALOIS,[7,2]],
[GALOIS,[7,7]],
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[TENSOR,[12,3]],
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MOT("L2(49)",
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ARC("L2(49)","isSimple",true);
ARC("L2(49)","extInfo",["2","2^2"]);
ARC("L2(49)","tomfusion",rec(name:="L2(49)",map:=[1,2,3,4,7,7,8,11,12,13,13,
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ALF("L2(49)","L2(49).2_1",[1,2,3,4,5,6,7,8,8,9,10,11,12,13,14,15,16,17,18,
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MOT("L2(49).2_1",
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8,10,9,4,4,10,10,9,9,26,25,18,17,20,19,22,21,24,23,27,29,28,32,33,31,30,32,33,
31,30,33,32,30,31,51,50,43,42,45,44,47,46,49,48],,[1,2,3,4,1,1,7,8,10,9,12,11,
16,15,14,13,5,6,5,6,5,6,5,6,5,6,27,27,27,33,32,30,31,37,36,39,38,41,40,35,34,
28,29,28,29,28,29,28,29,28,29],,[1,2,3,4,6,5,7,1,9,10,12,11,14,13,16,15,18,17,
20,19,22,21,24,23,26,25,27,29,28,31,30,33,32,35,34,37,36,39,38,41,40,43,42,45,
44,47,46,49,48,51,50]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1],[50,2,2,2,0,0,2,1,-2,-2,2,2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[48,0,0,0,-2,-2,0,-1,0,0,0,0,0,0,0,0,
-E(5)-E(5)^4,-E(5)^2-E(5)^3,-E(5)-E(5)^4,-E(5)^2-E(5)^3,-E(5)-E(5)^4,
-E(5)^2-E(5)^3,-E(5)-E(5)^4,-E(5)^2-E(5)^3,-E(5)-E(5)^4,-E(5)^2-E(5)^3,2,2,2,
0,0,0,0,0,0,0,0,0,0,0,0,E(5)+E(5)^4,E(5)^2+E(5)^3,E(5)+E(5)^4,E(5)^2+E(5)^3,
E(5)+E(5)^4,E(5)^2+E(5)^3,E(5)+E(5)^4,E(5)^2+E(5)^3,E(5)+E(5)^4,
E(5)^2+E(5)^3],
[TENSOR,[4,2]],
[GALOIS,[4,2]],
[TENSOR,[6,2]],[48,0,0,0,-E(5)-E(5)^4,-E(5)^2-E(5)^3,0,-1,0,0,0,0,0,0,0,0,
E(25)^4+E(25)^6+E(25)^9+E(25)^11+E(25)^14+E(25)^16+E(25)^19+E(25)^21,
-E(25)^7-E(25)^18,-E(25)^6-E(25)^19,-E(25)^8-E(25)^17,-E(25)^11-E(25)^14,
E(25)^3+E(25)^7+E(25)^8+E(25)^12+E(25)^13+E(25)^17+E(25)^18+E(25)^22,
-E(25)^9-E(25)^16,-E(25)^12-E(25)^13,-E(25)^4-E(25)^21,-E(25)^3-E(25)^22,2,
E(5)+E(5)^4,E(5)^2+E(5)^3,0,0,0,0,0,0,0,0,0,0,0,0,-E(25)^4-E(25)^6-E(25)^9
-E(25)^11-E(25)^14-E(25)^16-E(25)^19-E(25)^21,E(25)^7+E(25)^18,
E(25)^6+E(25)^19,E(25)^8+E(25)^17,E(25)^11+E(25)^14,-E(25)^3-E(25)^7-E(25)^8
-E(25)^12-E(25)^13-E(25)^17-E(25)^18-E(25)^22,E(25)^9+E(25)^16,
E(25)^12+E(25)^13,E(25)^4+E(25)^21,E(25)^3+E(25)^22],
[TENSOR,[8,2]],
[GALOIS,[8,7]],
[TENSOR,[10,2]],
[GALOIS,[8,4]],
[TENSOR,[12,2]],
[GALOIS,[8,3]],
[TENSOR,[14,2]],
[GALOIS,[8,9]],
[TENSOR,[16,2]],
[GALOIS,[8,12]],
[TENSOR,[18,2]],
[GALOIS,[8,11]],
[TENSOR,[20,2]],
[GALOIS,[8,2]],
[TENSOR,[22,2]],
[GALOIS,[8,6]],
[TENSOR,[24,2]],
[GALOIS,[8,8]],
[TENSOR,[26,2]],[49,1,1,1,-1,-1,1,0,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1],
[TENSOR,[28,2]],[50,2,-1,2,0,0,-1,1,2,2,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,2,2,2,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[30,2]],[50,2,2,-2,0,0,2,1,0,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,E(8)-E(8)^3,E(8)-E(8)^3,-E(8)+E(8)^3,-E(8)+E(8)^3,E(8)-E(8)^3,E(8)-E(8)^3,
--> --------------------
--> maximum size reached
--> --------------------
[ Dauer der Verarbeitung: 0.23 Sekunden
(vorverarbeitet)
]
|
