#############################################################################
## targetsCharSimple.gi
#############################################################################
##
## This file is part of the LINS package.
##
## This file's authors include Friedrich Rober.
##
## Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
#############################################################################
#############################################################################
## LINS_TargetsCharSimple
#############################################################################
## Usage:
##
## The function `LINS_MustCheckP` uses this.
#############################################################################
## Description:
##
## The list was computed by the code in `addGroup.gi`.
##
## Let $T$ be a non-abelian simple group.
## This is a pregenerated list contains information
## on any group $Q = (T x T x ... x T)$
## with group order $|Q|$ up to the maximum index bound `LINS_MaxIndex`.
##
## Let $Q$ be such a group of interest,
## then the information about Q consists of the following:
##
## - 1 : the group order $|Q|$
## - 2 : the primes dividing the schur multiplier of $Q$
## - 3 : name of the group $T ^ d$
##
## The list `LINS_TargetsCharSimple` is sorted by information $1$.
#############################################################################
BindGlobal("LINS_TargetsCharSimple_Index", 10000000);
BindGlobal("LINS_TargetsCharSimple",
[ [ 60, [ 2 ], "A5^1" ],
[ 168, [ 2 ], "PSL(2,7)^1" ],
[ 360, [ 2, 3 ], "A6^1" ],
[ 504, [ ], "PSL(2,8)^1" ],
[ 660, [ 2 ], "PSL(2,11)^1" ],
[ 1092, [ 2 ], "PSL(2,13)^1" ],
[ 2448, [ 2 ], "PSL(2,17)^1" ],
[ 2520, [ 2, 3 ], "A7^1" ],
[ 3420, [ 2 ], "PSL(2,19)^1" ],
[ 3600, [ 2 ], "A5^2" ],
[ 4080, [ ], "PSL(2,16)^1" ],
[ 5616, [ ], "PSL(3,3)^1" ],
[ 6048, [ ], "PSU(3,3)^1" ],
[ 6072, [ 2 ], "PSL(2,23)^1" ],
[ 7800, [ 2 ], "PSL(2,25)^1" ],
[ 7920, [ ], "M11^1" ],
[ 9828, [ 2 ], "PSL(2,27)^1" ],
[ 12180, [ 2 ], "PSL(2,29)^1" ],
[ 14880, [ 2 ], "PSL(2,31)^1" ],
[ 20160, [ 2 ], "A8^1" ],
[ 20160, [ 2, 3 ], "PSL(3,4)^1" ],
[ 25308, [ 2 ], "PSL(2,37)^1" ],
[ 25920, [ 2 ], "PSp(4,3)^1" ],
[ 28224, [ 2 ], "PSL(2,7)^2" ],
[ 29120, [ 2 ], "Sz(8)^1" ],
[ 32736, [ ], "PSL(2,32)^1" ],
[ 34440, [ 2 ], "PSL(2,41)^1" ],
[ 39732, [ 2 ], "PSL(2,43)^1" ],
[ 51888, [ 2 ], "PSL(2,47)^1" ],
[ 58800, [ 2 ], "PSL(2,49)^1" ],
[ 62400, [ ], "PSU(3,4)^1" ],
[ 74412, [ 2 ], "PSL(2,53)^1" ],
[ 95040, [ 2 ], "M12^1" ],
[ 102660, [ 2 ], "PSL(2,59)^1" ],
[ 113460, [ 2 ], "PSL(2,61)^1" ],
[ 126000, [ 3 ], "PSU(3,5)^1" ],
[ 129600, [ 2, 3 ], "A6^2" ],
[ 150348, [ 2 ], "PSL(2,67)^1" ],
[ 175560, [ ], "J_1^1" ],
[ 178920, [ 2 ], "PSL(2,71)^1" ],
[ 181440, [ 2 ], "A9^1" ],
[ 194472, [ 2 ], "PSL(2,73)^1" ],
[ 216000, [ 2 ], "A5^3" ],
[ 246480, [ 2 ], "PSL(2,79)^1" ],
[ 254016, [ ], "PSL(2,8)^2" ],
[ 262080, [ ], "PSL(2,64)^1" ],
[ 265680, [ 2 ], "PSL(2,81)^1" ],
[ 285852, [ 2 ], "PSL(2,83)^1" ],
[ 352440, [ 2 ], "PSL(2,89)^1" ],
[ 372000, [ ], "PSL(3,5)^1" ],
[ 435600, [ 2 ], "PSL(2,11)^2" ],
[ 443520, [ 2, 3 ], "M22^1" ],
[ 456288, [ 2 ], "PSL(2,97)^1" ],
[ 515100, [ 2 ], "PSL(2,101)^1" ],
[ 546312, [ 2 ], "PSL(2,103)^1" ],
[ 604800, [ 2 ], "J_2^1" ],
[ 612468, [ 2 ], "PSL(2,107)^1" ],
[ 647460, [ 2 ], "PSL(2,109)^1" ],
[ 721392, [ 2 ], "PSL(2,113)^1" ],
[ 885720, [ 2 ], "PSL(2,121)^1" ],
[ 976500, [ 2 ], "PSL(2,125)^1" ],
[ 979200, [ ], "PSp(4,4)^1" ],
[ 1024128, [ 2 ], "PSL(2,127)^1" ],
[ 1123980, [ 2 ], "PSL(2,131)^1" ],
[ 1192464, [ 2 ], "PSL(2,13)^2" ],
[ 1285608, [ 2 ], "PSL(2,137)^1" ],
[ 1342740, [ 2 ], "PSL(2,139)^1" ],
[ 1451520, [ 2 ], "PSp(6,2)^1" ],
[ 1653900, [ 2 ], "PSL(2,149)^1" ],
[ 1721400, [ 2 ], "PSL(2,151)^1" ],
[ 1814400, [ 2 ], "A10^1" ],
[ 1876896, [ 3 ], "PSL(3,7)^1" ],
[ 1934868, [ 2 ], "PSL(2,157)^1" ],
[ 2097024, [ ], "PSL(2,128)^1" ],
[ 2165292, [ 2 ], "PSL(2,163)^1" ],
[ 2328648, [ 2 ], "PSL(2,167)^1" ],
[ 2413320, [ 2 ], "PSL(2,169)^1" ],
[ 2588772, [ 2 ], "PSL(2,173)^1" ],
[ 2867580, [ 2 ], "PSL(2,179)^1" ],
[ 2964780, [ 2 ], "PSL(2,181)^1" ],
[ 3265920, [ 2, 3 ], "PSU(4,3)^1" ],
[ 3483840, [ 2 ], "PSL(2,191)^1" ],
[ 3594432, [ 2 ], "PSL(2,193)^1" ],
[ 3822588, [ 2 ], "PSL(2,197)^1" ],
[ 3940200, [ 2 ], "PSL(2,199)^1" ],
[ 4245696, [ 3 ], "G(2, 3)^1" ],
[ 4680000, [ 2 ], "PSp(4,5)^1" ],
[ 4696860, [ 2 ], "PSL(2,211)^1" ],
[ 4741632, [ 2 ], "PSL(2,7)^3" ],
[ 5515776, [ 3 ], "PSU(3,8)^1" ],
[ 5544672, [ 2 ], "PSL(2,223)^1" ],
[ 5663616, [ ], "PSU(3,7)^1" ],
[ 5848428, [ 2 ], "PSL(2,227)^1" ],
[ 5992704, [ 2 ], "PSL(2,17)^2" ],
[ 6004380, [ 2 ], "PSL(2,229)^1" ],
[ 6065280, [ 2 ], "PSL(4,3)^1" ],
[ 6324552, [ 2 ], "PSL(2,233)^1" ],
[ 6350400, [ 2, 3 ], "A7^2" ],
[ 6825840, [ 2 ], "PSL(2,239)^1" ],
[ 6998640, [ 2 ], "PSL(2,241)^1" ],
[ 7174332, [ 2 ], "PSL(2,243)^1" ],
[ 7906500, [ 2 ], "PSL(2,251)^1" ],
[ 8487168, [ 2 ], "PSL(2,257)^1" ],
[ 9095592, [ 2 ], "PSL(2,263)^1" ],
[ 9732420, [ 2 ], "PSL(2,269)^1" ],
[ 9951120, [ 2 ], "PSL(2,271)^1" ],
[ 9999360, [ ], "PSL(5,2)^1" ] ]
);
