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## The covering groups $6.A_6$, $2.A_7$, $3.A_7$, $6.A_7$ and $2.A_8$ have some irreducible characters
## $\chi$ such that there is a $\chi$-subgroup, say $H$ , such that $H$ is not a $p$-group.
## Also the groups $3.O_7(3)$, $3.U_6(2)$ and the covering groups of $U_4(3)$ have some irreducible
## characters such that their restriction to a maximal subgroup is irreducible.
##
## |G| ,|Z(G)|,chi[1], functions , |H|
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SpecialCoversData := [[6*360 , 6 , 12 , CoversOfAlternatingGroupsRepresentation, 10 ],
[2*2520 , 2 , 20 , CoversOfAlternatingGroupsRepresentation, 20 ],
[3*2520 , 3 , 21 , CoversOfAlternatingGroupsRepresentation, 12 ],
[3*2520 , 3 , 24 , CoversOfAlternatingGroupsRepresentation, 20 ],
[6*2520 , 6 , 20 , CoversOfAlternatingGroupsRepresentation, 20 ],
[6*2520 , 6 , 21 , CoversOfAlternatingGroupsRepresentation, 12 ],
[6*2520 , 6 , 24 , CoversOfAlternatingGroupsRepresentation, 20 ],
[2*20160 , 2 , 24 , CoversOfAlternatingGroupsRepresentation, 15 ],
[2*3265920 , 2 , 21 , CoversOfU43Representation],
[2*3265920 , 2 , 20 , CoversOfU43Representation],
[3*3265920 , 3 , 21 , CoversOfU43Representation],
[3*3265920 , 3 , 15 , CoversOfU43Representation],
[4*3265920 , 4 , 21 , CoversOfU43Representation],
[4*3265920 , 4 , 20 , CoversOfU43Representation],
[6*3265920 , 6 , 21 , CoversOfU43Representation],
[6*3265920 , 6 , 6 , CoversOfU43Representation],
[3*4585351680, 3 , 27 , CoversOfO73Representation],
[3*9196830720, 3 , 22 , CoversOfU62Representation],
[3*9196830720, 3 , 21 , CoversOfU62Representation]];;
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