# Extensions 1→N→G→Q→1 with N=C42 and Q=C2×C4

Direct product G=N×Q with N=C42 and Q=C2×C4
dρLabelID
C2×C43128C2xC4^3128,997

Semidirect products G=N:Q with N=C42 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C421(C2×C4) = C42⋊D4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2:1(C2xC4)128,643
C422(C2×C4) = C24.39D4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2:2(C2xC4)128,859
C423(C2×C4) = C2×C4.9C42φ: C2×C4/C2C4 ⊆ Aut C4232C4^2:3(C2xC4)128,462
C424(C2×C4) = C2×C42⋊C4φ: C2×C4/C2C4 ⊆ Aut C4216C4^2:4(C2xC4)128,856
C425(C2×C4) = C2×C423C4φ: C2×C4/C2C4 ⊆ Aut C4232C4^2:5(C2xC4)128,857
C426(C2×C4) = C24.63D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2:6(C2xC4)128,465
C427(C2×C4) = D4.C42φ: C2×C4/C2C22 ⊆ Aut C4232C4^2:7(C2xC4)128,491
C428(C2×C4) = C4≀C2⋊C4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2:8(C2xC4)128,591
C429(C2×C4) = C429(C2×C4)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2:9(C2xC4)128,592
C4210(C2×C4) = C24.23D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2:10(C2xC4)128,617
C4211(C2×C4) = C24.24D4φ: C2×C4/C2C22 ⊆ Aut C4216C4^2:11(C2xC4)128,619
C4212(C2×C4) = C24.524C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:12(C2xC4)128,1006
C4213(C2×C4) = D44C42φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:13(C2xC4)128,1007
C4214(C2×C4) = C4242D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:14(C2xC4)128,1022
C4215(C2×C4) = C23.178C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:15(C2xC4)128,1028
C4216(C2×C4) = C23.199C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:16(C2xC4)128,1049
C4217(C2×C4) = C24.547C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:17(C2xC4)128,1050
C4218(C2×C4) = C42.160D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:18(C2xC4)128,1058
C4219(C2×C4) = C4214D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:19(C2xC4)128,1060
C4220(C2×C4) = C24.203C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:20(C2xC4)128,1066
C4221(C2×C4) = C24.205C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:21(C2xC4)128,1069
C4222(C2×C4) = C23.225C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:22(C2xC4)128,1075
C4223(C2×C4) = D4×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:23(C2xC4)128,1080
C4224(C2×C4) = C23.231C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:24(C2xC4)128,1081
C4225(C2×C4) = C23.234C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:25(C2xC4)128,1084
C4226(C2×C4) = C23.235C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:26(C2xC4)128,1085
C4227(C2×C4) = C24.219C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:27(C2xC4)128,1098
C4228(C2×C4) = C24.220C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:28(C2xC4)128,1099
C4229(C2×C4) = C24.221C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:29(C2xC4)128,1104
C4230(C2×C4) = C23.255C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:30(C2xC4)128,1105
C4231(C2×C4) = C23.261C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:31(C2xC4)128,1111
C4232(C2×C4) = C23.262C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:32(C2xC4)128,1112
C4233(C2×C4) = C24.230C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2:33(C2xC4)128,1115
C4234(C2×C4) = C4×C42⋊C2φ: C2×C4/C4C2 ⊆ Aut C4264C4^2:34(C2xC4)128,1002
C4235(C2×C4) = C4×C422C2φ: C2×C4/C4C2 ⊆ Aut C4264C4^2:35(C2xC4)128,1036
C4236(C2×C4) = C4×C4≀C2φ: C2×C4/C4C2 ⊆ Aut C4232C4^2:36(C2xC4)128,490
C4237(C2×C4) = D4×C42φ: C2×C4/C4C2 ⊆ Aut C4264C4^2:37(C2xC4)128,1003
C4238(C2×C4) = C4×C4.4D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2:38(C2xC4)128,1035
C4239(C2×C4) = C4×C41D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2:39(C2xC4)128,1038
C4240(C2×C4) = C2×C424C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2:40(C2xC4)128,999
C4241(C2×C4) = C2×C425C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2:41(C2xC4)128,1014
C4242(C2×C4) = C2×C426C4φ: C2×C4/C22C2 ⊆ Aut C4232C4^2:42(C2xC4)128,464
C4243(C2×C4) = C2×C4×C4⋊C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2:43(C2xC4)128,1001
C4244(C2×C4) = C2×C428C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2:44(C2xC4)128,1013
C4245(C2×C4) = C2×C429C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2:45(C2xC4)128,1016

Non-split extensions G=N.Q with N=C42 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C42.1(C2×C4) = C4.C4≀C2φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2.1(C2xC4)128,87
C42.2(C2×C4) = C42.(C2×C4)φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.2(C2xC4)128,88
C42.3(C2×C4) = C8⋊C4⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2.3(C2xC4)128,138
C42.4(C2×C4) = (C2×D4).D4φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.4(C2xC4)128,139
C42.5(C2×C4) = C8⋊C45C4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2.5(C2xC4)128,144
C42.6(C2×C4) = C8⋊C4.C4φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.6(C2xC4)128,145
C42.7(C2×C4) = C4.(C4×D4)φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.7(C2xC4)128,641
C42.8(C2×C4) = (C2×C8)⋊4D4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2.8(C2xC4)128,642
C42.9(C2×C4) = C42.7D4φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.9(C2xC4)128,644
C42.10(C2×C4) = C4.4D4⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2.10(C2xC4)128,860
C42.11(C2×C4) = C4⋊Q8⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.11(C2xC4)128,861
C42.12(C2×C4) = C4⋊Q8.C4φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.12(C2xC4)128,865
C42.13(C2×C4) = C41D4.C4φ: C2×C4/C1C2×C4 ⊆ Aut C42168+C4^2.13(C2xC4)128,866
C42.14(C2×C4) = (C2×D4).137D4φ: C2×C4/C1C2×C4 ⊆ Aut C42328-C4^2.14(C2xC4)128,867
C42.15(C2×C4) = C41D4⋊C4φ: C2×C4/C2C4 ⊆ Aut C42164+C4^2.15(C2xC4)128,140
C42.16(C2×C4) = (C4×C8)⋊6C4φ: C2×C4/C2C4 ⊆ Aut C42164C4^2.16(C2xC4)128,141
C42.17(C2×C4) = (C4×C8).C4φ: C2×C4/C2C4 ⊆ Aut C42164C4^2.17(C2xC4)128,142
C42.18(C2×C4) = (C2×Q8).D4φ: C2×C4/C2C4 ⊆ Aut C42324-C4^2.18(C2xC4)128,143
C42.19(C2×C4) = (C4×C8)⋊C4φ: C2×C4/C2C4 ⊆ Aut C42324C4^2.19(C2xC4)128,146
C42.20(C2×C4) = C8.16C42φ: C2×C4/C2C4 ⊆ Aut C42324C4^2.20(C2xC4)128,479
C42.21(C2×C4) = C8.(C4⋊C4)φ: C2×C4/C2C4 ⊆ Aut C42324C4^2.21(C2xC4)128,565
C42.22(C2×C4) = C2×C16⋊C4φ: C2×C4/C2C4 ⊆ Aut C4232C4^2.22(C2xC4)128,841
C42.23(C2×C4) = C8.23C42φ: C2×C4/C2C4 ⊆ Aut C42324C4^2.23(C2xC4)128,842
C42.24(C2×C4) = C4⋊Q829C4φ: C2×C4/C2C4 ⊆ Aut C42164C4^2.24(C2xC4)128,858
C42.25(C2×C4) = C2×C42.C4φ: C2×C4/C2C4 ⊆ Aut C4232C4^2.25(C2xC4)128,862
C42.26(C2×C4) = C2×C42.3C4φ: C2×C4/C2C4 ⊆ Aut C4232C4^2.26(C2xC4)128,863
C42.27(C2×C4) = (C2×D4).135D4φ: C2×C4/C2C4 ⊆ Aut C42164C4^2.27(C2xC4)128,864
C42.28(C2×C4) = C8.5M4(2)φ: C2×C4/C2C4 ⊆ Aut C42164C4^2.28(C2xC4)128,897
C42.29(C2×C4) = C8.19M4(2)φ: C2×C4/C2C4 ⊆ Aut C42324C4^2.29(C2xC4)128,898
C42.30(C2×C4) = C42.4Q8φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.30(C2xC4)128,17
C42.31(C2×C4) = C42.23D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.31(C2xC4)128,19
C42.32(C2×C4) = C42.25D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.32(C2xC4)128,22
C42.33(C2×C4) = C42.26D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.33(C2xC4)128,23
C42.34(C2×C4) = C42.27D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.34(C2xC4)128,24
C42.35(C2×C4) = C42.7Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.35(C2xC4)128,27
C42.36(C2×C4) = C42.8Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.36(C2xC4)128,28
C42.37(C2×C4) = C42.388D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.37(C2xC4)128,31
C42.38(C2×C4) = C42.9Q8φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.38(C2xC4)128,32
C42.39(C2×C4) = C42.389D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.39(C2xC4)128,33
C42.40(C2×C4) = C42.370D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.40(C2xC4)128,34
C42.41(C2×C4) = C42.10Q8φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.41(C2xC4)128,35
C42.42(C2×C4) = C8.31D8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.42(C2xC4)128,62
C42.43(C2×C4) = C8.17Q16φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.43(C2xC4)128,70
C42.44(C2×C4) = C8.24D8φ: C2×C4/C2C22 ⊆ Aut C42164+C4^2.44(C2xC4)128,89
C42.45(C2×C4) = C8.25D8φ: C2×C4/C2C22 ⊆ Aut C42324-C4^2.45(C2xC4)128,90
C42.46(C2×C4) = C8.29D8φ: C2×C4/C2C22 ⊆ Aut C42164C4^2.46(C2xC4)128,91
C42.47(C2×C4) = C8.1Q16φ: C2×C4/C2C22 ⊆ Aut C42324C4^2.47(C2xC4)128,98
C42.48(C2×C4) = C8215C2φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.48(C2xC4)128,185
C42.49(C2×C4) = C822C2φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.49(C2xC4)128,186
C42.50(C2×C4) = C86M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.50(C2xC4)128,187
C42.51(C2×C4) = C42.397D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.51(C2xC4)128,209
C42.52(C2×C4) = C42.398D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.52(C2xC4)128,210
C42.53(C2×C4) = C42.399D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.53(C2xC4)128,211
C42.54(C2×C4) = C42.45D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.54(C2xC4)128,212
C42.55(C2×C4) = C42.46D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.55(C2xC4)128,213
C42.56(C2×C4) = C42.373D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.56(C2xC4)128,214
C42.57(C2×C4) = C42.47D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.57(C2xC4)128,215
C42.58(C2×C4) = C42.400D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.58(C2xC4)128,216
C42.59(C2×C4) = C42.401D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.59(C2xC4)128,217
C42.60(C2×C4) = D4⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.60(C2xC4)128,218
C42.61(C2×C4) = Q8⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.61(C2xC4)128,219
C42.62(C2×C4) = C42.374D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.62(C2xC4)128,220
C42.63(C2×C4) = D44M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.63(C2xC4)128,221
C42.64(C2×C4) = D45M4(2)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.64(C2xC4)128,222
C42.65(C2×C4) = Q85M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.65(C2xC4)128,223
C42.66(C2×C4) = C42.52D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.66(C2xC4)128,227
C42.67(C2×C4) = C42.53D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.67(C2xC4)128,228
C42.68(C2×C4) = C42.54D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.68(C2xC4)128,229
C42.69(C2×C4) = C42.375D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.69(C2xC4)128,232
C42.70(C2×C4) = C42.403D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.70(C2xC4)128,234
C42.71(C2×C4) = C42.404D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.71(C2xC4)128,235
C42.72(C2×C4) = C42.55D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.72(C2xC4)128,237
C42.73(C2×C4) = C42.56D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.73(C2xC4)128,238
C42.74(C2×C4) = C42.57D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.74(C2xC4)128,241
C42.75(C2×C4) = C42.58D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.75(C2xC4)128,244
C42.76(C2×C4) = C42.59D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.76(C2xC4)128,246
C42.77(C2×C4) = C42.60D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.77(C2xC4)128,247
C42.78(C2×C4) = C42.61D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.78(C2xC4)128,249
C42.79(C2×C4) = C42.62D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.79(C2xC4)128,250
C42.80(C2×C4) = C42.63D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.80(C2xC4)128,253
C42.81(C2×C4) = C2×C42.C22φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.81(C2xC4)128,254
C42.82(C2×C4) = C2×C42.2C22φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.82(C2xC4)128,255
C42.83(C2×C4) = C42.66D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.83(C2xC4)128,256
C42.84(C2×C4) = C42.405D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.84(C2xC4)128,257
C42.85(C2×C4) = C42.406D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.85(C2xC4)128,258
C42.86(C2×C4) = C42.407D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.86(C2xC4)128,259
C42.87(C2×C4) = C42.408D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.87(C2xC4)128,260
C42.88(C2×C4) = C42.376D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.88(C2xC4)128,261
C42.89(C2×C4) = C42.67D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.89(C2xC4)128,262
C42.90(C2×C4) = C42.68D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.90(C2xC4)128,263
C42.91(C2×C4) = C42.69D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.91(C2xC4)128,264
C42.92(C2×C4) = C42.70D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.92(C2xC4)128,265
C42.93(C2×C4) = C42.71D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.93(C2xC4)128,266
C42.94(C2×C4) = C42.72D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.94(C2xC4)128,267
C42.95(C2×C4) = C42.73D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.95(C2xC4)128,268
C42.96(C2×C4) = C42.74D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.96(C2xC4)128,269
C42.97(C2×C4) = C2×C4.D8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.97(C2xC4)128,270
C42.98(C2×C4) = C2×C4.10D8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.98(C2xC4)128,271
C42.99(C2×C4) = C42.409D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.99(C2xC4)128,272
C42.100(C2×C4) = C2×C4.6Q16φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.100(C2xC4)128,273
C42.101(C2×C4) = C42.410D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.101(C2xC4)128,274
C42.102(C2×C4) = C42.411D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.102(C2xC4)128,275
C42.103(C2×C4) = C42.412D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.103(C2xC4)128,276
C42.104(C2×C4) = C42.413D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.104(C2xC4)128,277
C42.105(C2×C4) = C42.414D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.105(C2xC4)128,278
C42.106(C2×C4) = C42.78D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.106(C2xC4)128,279
C42.107(C2×C4) = C42.415D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.107(C2xC4)128,280
C42.108(C2×C4) = C42.416D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.108(C2xC4)128,281
C42.109(C2×C4) = C42.79D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.109(C2xC4)128,282
C42.110(C2×C4) = C42.80D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.110(C2xC4)128,283
C42.111(C2×C4) = C42.81D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.111(C2xC4)128,284
C42.112(C2×C4) = C42.417D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.112(C2xC4)128,285
C42.113(C2×C4) = C42.418D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.113(C2xC4)128,286
C42.114(C2×C4) = C42.82D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.114(C2xC4)128,287
C42.115(C2×C4) = C42.83D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.115(C2xC4)128,288
C42.116(C2×C4) = C42.84D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.116(C2xC4)128,289
C42.117(C2×C4) = C42.85D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.117(C2xC4)128,290
C42.118(C2×C4) = C42.86D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.118(C2xC4)128,291
C42.119(C2×C4) = C42.87D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.119(C2xC4)128,292
C42.120(C2×C4) = C42.88D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.120(C2xC4)128,293
C42.121(C2×C4) = M4(2)⋊1C8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.121(C2xC4)128,297
C42.122(C2×C4) = C81M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.122(C2xC4)128,301
C42.123(C2×C4) = C42.90D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.123(C2xC4)128,302
C42.124(C2×C4) = C42.91D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.124(C2xC4)128,303
C42.125(C2×C4) = C42.Q8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.125(C2xC4)128,304
C42.126(C2×C4) = C42.92D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.126(C2xC4)128,305
C42.127(C2×C4) = C42.21Q8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.127(C2xC4)128,306
C42.128(C2×C4) = D4⋊C42φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.128(C2xC4)128,494
C42.129(C2×C4) = Q8⋊C42φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.129(C2xC4)128,495
C42.130(C2×C4) = D4.3C42φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.130(C2xC4)128,497
C42.131(C2×C4) = C42.45Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.131(C2xC4)128,500
C42.132(C2×C4) = C4⋊C814C4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.132(C2xC4)128,503
C42.133(C2×C4) = C8.5C42φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.133(C2xC4)128,505
C42.134(C2×C4) = C8⋊C42φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.134(C2xC4)128,508
C42.135(C2×C4) = C8.6C42φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.135(C2xC4)128,510
C42.136(C2×C4) = C42.98D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.136(C2xC4)128,534
C42.137(C2×C4) = C42.99D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.137(C2xC4)128,535
C42.138(C2×C4) = C42.100D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.138(C2xC4)128,536
C42.139(C2×C4) = C42.101D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.139(C2xC4)128,537
C42.140(C2×C4) = C42.102D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.140(C2xC4)128,538
C42.141(C2×C4) = (C2×C42)⋊C4φ: C2×C4/C2C22 ⊆ Aut C42164C4^2.141(C2xC4)128,559
C42.142(C2×C4) = C42.24Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.142(C2xC4)128,568
C42.143(C2×C4) = C42.104D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.143(C2xC4)128,570
C42.144(C2×C4) = C42.26Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.144(C2xC4)128,579
C42.145(C2×C4) = C42.106D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.145(C2xC4)128,581
C42.146(C2×C4) = M4(2).41D4φ: C2×C4/C2C22 ⊆ Aut C42164C4^2.146(C2xC4)128,593
C42.147(C2×C4) = M4(2)⋊19D4φ: C2×C4/C2C22 ⊆ Aut C42164C4^2.147(C2xC4)128,616
C42.148(C2×C4) = C4⋊Q815C4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.148(C2xC4)128,618
C42.149(C2×C4) = C4.4D413C4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.149(C2xC4)128,620
C42.150(C2×C4) = C42.29Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.150(C2xC4)128,679
C42.151(C2×C4) = C42.30Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.151(C2xC4)128,680
C42.152(C2×C4) = C42.31Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.152(C2xC4)128,681
C42.153(C2×C4) = C42.430D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.153(C2xC4)128,682
C42.154(C2×C4) = C42.110D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.154(C2xC4)128,691
C42.155(C2×C4) = C42.111D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.155(C2xC4)128,692
C42.156(C2×C4) = C42.112D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.156(C2xC4)128,693
C42.157(C2×C4) = C428D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.157(C2xC4)128,695
C42.158(C2×C4) = M4(2)⋊13D4φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.158(C2xC4)128,712
C42.159(C2×C4) = C42.117D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.159(C2xC4)128,713
C42.160(C2×C4) = C42.118D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.160(C2xC4)128,714
C42.161(C2×C4) = C42.119D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.161(C2xC4)128,715
C42.162(C2×C4) = M4(2)⋊7Q8φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.162(C2xC4)128,718
C42.163(C2×C4) = C42.121D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.163(C2xC4)128,719
C42.164(C2×C4) = C42.122D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.164(C2xC4)128,720
C42.165(C2×C4) = C42.123D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.165(C2xC4)128,721
C42.166(C2×C4) = C42.124D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.166(C2xC4)128,724
C42.167(C2×C4) = C42.125D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.167(C2xC4)128,725
C42.168(C2×C4) = C42⋊Q8φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.168(C2xC4)128,727
C42.169(C2×C4) = C4⋊C4.7C8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.169(C2xC4)128,883
C42.170(C2×C4) = M4(2).1C8φ: C2×C4/C2C22 ⊆ Aut C42324C4^2.170(C2xC4)128,885
C42.171(C2×C4) = C169D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.171(C2xC4)128,900
C42.172(C2×C4) = D8.C8φ: C2×C4/C2C22 ⊆ Aut C42324C4^2.172(C2xC4)128,903
C42.173(C2×C4) = C164Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.173(C2xC4)128,915
C42.174(C2×C4) = Q84C42φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.174(C2xC4)128,1008
C42.175(C2×C4) = C4214Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.175(C2xC4)128,1027
C42.176(C2×C4) = C432C2φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.176(C2xC4)128,1030
C42.177(C2×C4) = C24.192C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.177(C2xC4)128,1046
C42.178(C2×C4) = C23.201C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.178(C2xC4)128,1051
C42.179(C2×C4) = C23.202C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.179(C2xC4)128,1052
C42.180(C2×C4) = C42.161D4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.180(C2xC4)128,1059
C42.181(C2×C4) = C42.33Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.181(C2xC4)128,1062
C42.182(C2×C4) = C424Q8φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.182(C2xC4)128,1063
C42.183(C2×C4) = C23.218C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.183(C2xC4)128,1068
C42.184(C2×C4) = C24.208C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.184(C2xC4)128,1078
C42.185(C2×C4) = C23.229C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.185(C2xC4)128,1079
C42.186(C2×C4) = Q8×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.186(C2xC4)128,1082
C42.187(C2×C4) = C23.233C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.187(C2xC4)128,1083
C42.188(C2×C4) = C23.236C24φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.188(C2xC4)128,1086
C42.189(C2×C4) = C23.237C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.189(C2xC4)128,1087
C42.190(C2×C4) = C23.238C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.190(C2xC4)128,1088
C42.191(C2×C4) = C24.212C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.191(C2xC4)128,1089
C42.192(C2×C4) = C23.247C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.192(C2xC4)128,1097
C42.193(C2×C4) = C23.251C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.193(C2xC4)128,1101
C42.194(C2×C4) = C23.252C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.194(C2xC4)128,1102
C42.195(C2×C4) = C23.253C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.195(C2xC4)128,1103
C42.196(C2×C4) = C23.263C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.196(C2xC4)128,1113
C42.197(C2×C4) = C23.264C24φ: C2×C4/C2C22 ⊆ Aut C42128C4^2.197(C2xC4)128,1114
C42.198(C2×C4) = M4(2)○2M4(2)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.198(C2xC4)128,1605
C42.199(C2×C4) = D4.5C42φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.199(C2xC4)128,1607
C42.200(C2×C4) = C2×C42.6C22φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.200(C2xC4)128,1636
C42.201(C2×C4) = C42.257C23φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.201(C2xC4)128,1637
C42.202(C2×C4) = C42.674C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.202(C2xC4)128,1638
C42.203(C2×C4) = C42.259C23φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.203(C2xC4)128,1653
C42.204(C2×C4) = C42.260C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.204(C2xC4)128,1654
C42.205(C2×C4) = C42.261C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.205(C2xC4)128,1655
C42.206(C2×C4) = C42.262C23φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.206(C2xC4)128,1656
C42.207(C2×C4) = C42.678C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.207(C2xC4)128,1657
C42.208(C2×C4) = C2×C89D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.208(C2xC4)128,1659
C42.209(C2×C4) = C42.266C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.209(C2xC4)128,1664
C42.210(C2×C4) = D4×M4(2)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.210(C2xC4)128,1666
C42.211(C2×C4) = M4(2)⋊23D4φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.211(C2xC4)128,1667
C42.212(C2×C4) = C42.287C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.212(C2xC4)128,1693
C42.213(C2×C4) = M4(2)⋊9Q8φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.213(C2xC4)128,1694
C42.214(C2×C4) = Q8×M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.214(C2xC4)128,1695
C42.215(C2×C4) = C42.292C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.215(C2xC4)128,1699
C42.216(C2×C4) = C42.293C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.216(C2xC4)128,1700
C42.217(C2×C4) = C42.294C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.217(C2xC4)128,1701
C42.218(C2×C4) = D46M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.218(C2xC4)128,1702
C42.219(C2×C4) = Q86M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.219(C2xC4)128,1703
C42.220(C2×C4) = C42.691C23φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.220(C2xC4)128,1704
C42.221(C2×C4) = C233M4(2)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.221(C2xC4)128,1705
C42.222(C2×C4) = D47M4(2)φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.222(C2xC4)128,1706
C42.223(C2×C4) = C42.693C23φ: C2×C4/C2C22 ⊆ Aut C4232C4^2.223(C2xC4)128,1707
C42.224(C2×C4) = C42.694C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.224(C2xC4)128,1711
C42.225(C2×C4) = C42.300C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.225(C2xC4)128,1712
C42.226(C2×C4) = C42.301C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.226(C2xC4)128,1713
C42.227(C2×C4) = C42.695C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.227(C2xC4)128,1714
C42.228(C2×C4) = C42.302C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.228(C2xC4)128,1715
C42.229(C2×C4) = Q8.4M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.229(C2xC4)128,1716
C42.230(C2×C4) = C42.696C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.230(C2xC4)128,1717
C42.231(C2×C4) = C42.304C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.231(C2xC4)128,1718
C42.232(C2×C4) = C42.305C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.232(C2xC4)128,1719
C42.233(C2×C4) = C42.697C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.233(C2xC4)128,1720
C42.234(C2×C4) = C42.698C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.234(C2xC4)128,1721
C42.235(C2×C4) = D48M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.235(C2xC4)128,1722
C42.236(C2×C4) = Q87M4(2)φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.236(C2xC4)128,1723
C42.237(C2×C4) = C42.307C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.237(C2xC4)128,1724
C42.238(C2×C4) = C42.308C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.238(C2xC4)128,1725
C42.239(C2×C4) = C42.309C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.239(C2xC4)128,1726
C42.240(C2×C4) = C42.310C23φ: C2×C4/C2C22 ⊆ Aut C4264C4^2.240(C2xC4)128,1727
C42.241(C2×C4) = C8×M4(2)φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.241(C2xC4)128,181
C42.242(C2×C4) = C89M4(2)φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.242(C2xC4)128,183
C42.243(C2×C4) = C43.C2φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.243(C2xC4)128,477
C42.244(C2×C4) = C162M5(2)φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.244(C2xC4)128,840
C42.245(C2×C4) = C8.12M4(2)φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.245(C2xC4)128,896
C42.246(C2×C4) = C2×C82M4(2)φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.246(C2xC4)128,1604
C42.247(C2×C4) = C2×C42.7C22φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.247(C2xC4)128,1651
C42.248(C2×C4) = C8×C4○D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.248(C2xC4)128,1696
C42.249(C2×C4) = C42.290C23φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.249(C2xC4)128,1697
C42.250(C2×C4) = C426C8φ: C2×C4/C4C2 ⊆ Aut C4232C4^2.250(C2xC4)128,8
C42.251(C2×C4) = C42.385D4φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.251(C2xC4)128,9
C42.252(C2×C4) = D4⋊C16φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.252(C2xC4)128,61
C42.253(C2×C4) = Q8⋊C16φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.253(C2xC4)128,69
C42.254(C2×C4) = C2×D4⋊C8φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.254(C2xC4)128,206
C42.255(C2×C4) = C2×Q8⋊C8φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.255(C2xC4)128,207
C42.256(C2×C4) = C42.455D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.256(C2xC4)128,208
C42.257(C2×C4) = C42.315D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.257(C2xC4)128,224
C42.258(C2×C4) = C42.316D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.258(C2xC4)128,225
C42.259(C2×C4) = C42.305D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.259(C2xC4)128,226
C42.260(C2×C4) = C4×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.260(C2xC4)128,492
C42.261(C2×C4) = C4×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.261(C2xC4)128,493
C42.262(C2×C4) = Q8.C42φ: C2×C4/C4C2 ⊆ Aut C4232C4^2.262(C2xC4)128,496
C42.263(C2×C4) = C4×C4⋊C8φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.263(C2xC4)128,498
C42.264(C2×C4) = C43.7C2φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.264(C2xC4)128,499
C42.265(C2×C4) = C42.431D4φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.265(C2xC4)128,688
C42.266(C2×C4) = C42.432D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.266(C2xC4)128,689
C42.267(C2×C4) = C42.433D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.267(C2xC4)128,690
C42.268(C2×C4) = C43⋊C2φ: C2×C4/C4C2 ⊆ Aut C4232C4^2.268(C2xC4)128,694
C42.269(C2×C4) = C42.436D4φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.269(C2xC4)128,722
C42.270(C2×C4) = C42.437D4φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.270(C2xC4)128,723
C42.271(C2×C4) = C4216Q8φ: C2×C4/C4C2 ⊆ Aut C4232C4^2.271(C2xC4)128,726
C42.272(C2×C4) = D4×C16φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.272(C2xC4)128,899
C42.273(C2×C4) = C166D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.273(C2xC4)128,901
C42.274(C2×C4) = C16○D8φ: C2×C4/C4C2 ⊆ Aut C42322C4^2.274(C2xC4)128,902
C42.275(C2×C4) = Q8×C16φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.275(C2xC4)128,914
C42.276(C2×C4) = Q8×C42φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.276(C2xC4)128,1004
C42.277(C2×C4) = C439C2φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.277(C2xC4)128,1025
C42.278(C2×C4) = C4×C42.C2φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.278(C2xC4)128,1037
C42.279(C2×C4) = C4×C4⋊Q8φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.279(C2xC4)128,1039
C42.280(C2×C4) = C4×C8○D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.280(C2xC4)128,1606
C42.281(C2×C4) = D4×C2×C8φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.281(C2xC4)128,1658
C42.282(C2×C4) = C2×C86D4φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.282(C2xC4)128,1660
C42.283(C2×C4) = C42.681C23φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.283(C2xC4)128,1663
C42.284(C2×C4) = Q8×C2×C8φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.284(C2xC4)128,1690
C42.285(C2×C4) = C2×C84Q8φ: C2×C4/C4C2 ⊆ Aut C42128C4^2.285(C2xC4)128,1691
C42.286(C2×C4) = C42.286C23φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.286(C2xC4)128,1692
C42.287(C2×C4) = C42.291C23φ: C2×C4/C4C2 ⊆ Aut C4264C4^2.287(C2xC4)128,1698
C42.288(C2×C4) = C421C8φ: C2×C4/C22C2 ⊆ Aut C4232C4^2.288(C2xC4)128,6
C42.289(C2×C4) = C42.20D4φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.289(C2xC4)128,7
C42.290(C2×C4) = C42.6Q8φ: C2×C4/C22C2 ⊆ Aut C4232C4^2.290(C2xC4)128,20
C42.291(C2×C4) = C16⋊C8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.291(C2xC4)128,45
C42.292(C2×C4) = C82⋊C2φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.292(C2xC4)128,182
C42.293(C2×C4) = C23.27C42φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.293(C2xC4)128,184
C42.294(C2×C4) = C2.C43φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.294(C2xC4)128,458
C42.295(C2×C4) = (C4×C8)⋊12C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.295(C2xC4)128,478
C42.296(C2×C4) = C2×C165C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.296(C2xC4)128,838
C42.297(C2×C4) = C42.6C8φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.297(C2xC4)128,895
C42.298(C2×C4) = C23.165C24φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.298(C2xC4)128,1015
C42.299(C2×C4) = C22×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.299(C2xC4)128,1602
C42.300(C2×C4) = C2×C42.12C4φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.300(C2xC4)128,1649
C42.301(C2×C4) = C2×C42.6C4φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.301(C2xC4)128,1650
C42.302(C2×C4) = M4(2)⋊C8φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.302(C2xC4)128,10
C42.303(C2×C4) = C42.46Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.303(C2xC4)128,11
C42.304(C2×C4) = C42.5Q8φ: C2×C4/C22C2 ⊆ Aut C4232C4^2.304(C2xC4)128,18
C42.305(C2×C4) = C82C16φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.305(C2xC4)128,99
C42.306(C2×C4) = C8.36D8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.306(C2xC4)128,102
C42.307(C2×C4) = C2×C82C8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.307(C2xC4)128,294
C42.308(C2×C4) = C2×C81C8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.308(C2xC4)128,295
C42.309(C2×C4) = C42.42Q8φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.309(C2xC4)128,296
C42.310(C2×C4) = C88M4(2)φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.310(C2xC4)128,298
C42.311(C2×C4) = C87M4(2)φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.311(C2xC4)128,299
C42.312(C2×C4) = C42.43Q8φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.312(C2xC4)128,300
C42.313(C2×C4) = C8×C4⋊C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.313(C2xC4)128,501
C42.314(C2×C4) = C4⋊C813C4φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.314(C2xC4)128,502
C42.315(C2×C4) = C8.14C42φ: C2×C4/C22C2 ⊆ Aut C4232C4^2.315(C2xC4)128,504
C42.316(C2×C4) = C4×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.316(C2xC4)128,506
C42.317(C2×C4) = C4×C2.D8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.317(C2xC4)128,507
C42.318(C2×C4) = C4×C8.C4φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.318(C2xC4)128,509
C42.319(C2×C4) = C42.55Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.319(C2xC4)128,566
C42.320(C2×C4) = C42.56Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.320(C2xC4)128,567
C42.321(C2×C4) = C42.322D4φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.321(C2xC4)128,569
C42.322(C2×C4) = C8⋊C417C4φ: C2×C4/C22C2 ⊆ Aut C42164C4^2.322(C2xC4)128,573
C42.323(C2×C4) = C42.58Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.323(C2xC4)128,576
C42.324(C2×C4) = C42.59Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.324(C2xC4)128,577
C42.325(C2×C4) = C42.60Q8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.325(C2xC4)128,578
C42.326(C2×C4) = C42.324D4φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.326(C2xC4)128,580
C42.327(C2×C4) = C2×C4⋊C16φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.327(C2xC4)128,881
C42.328(C2×C4) = C4⋊M5(2)φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.328(C2xC4)128,882
C42.329(C2×C4) = C2×C8.C8φ: C2×C4/C22C2 ⊆ Aut C4232C4^2.329(C2xC4)128,884
C42.330(C2×C4) = C23.167C24φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.330(C2xC4)128,1017
C42.331(C2×C4) = C2×C4×M4(2)φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.331(C2xC4)128,1603
C42.332(C2×C4) = C22×C4⋊C8φ: C2×C4/C22C2 ⊆ Aut C42128C4^2.332(C2xC4)128,1634
C42.333(C2×C4) = C2×C4⋊M4(2)φ: C2×C4/C22C2 ⊆ Aut C4264C4^2.333(C2xC4)128,1635
C42.334(C2×C4) = C42.677C23φ: C2×C4/C22C2 ⊆ Aut C4232C4^2.334(C2xC4)128,1652
C42.335(C2×C4) = C165C8central extension (φ=1)128C4^2.335(C2xC4)128,43
C42.336(C2×C4) = C8⋊C16central extension (φ=1)128C4^2.336(C2xC4)128,44
C42.337(C2×C4) = C2×C8⋊C8central extension (φ=1)128C4^2.337(C2xC4)128,180
C42.338(C2×C4) = C4×C8⋊C4central extension (φ=1)128C4^2.338(C2xC4)128,457
C42.339(C2×C4) = C424C8central extension (φ=1)128C4^2.339(C2xC4)128,476
C42.340(C2×C4) = C4×M5(2)central extension (φ=1)64C4^2.340(C2xC4)128,839
C42.341(C2×C4) = C42.13C8central extension (φ=1)64C4^2.341(C2xC4)128,894

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