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Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C22⋊C4

Direct product G=N×Q with N=C10 and Q=C2×C22⋊C4
dρLabelID
C22⋊C4×C2×C10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C10 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C10⋊(C2×C22⋊C4) = C22×C22⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10:(C2xC2^2:C4)320,1607
C10⋊2(C2×C22⋊C4) = C2×D5×C22⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C1080C10:2(C2xC2^2:C4)320,1156
C10⋊3(C2×C22⋊C4) = C22×D10⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10:3(C2xC2^2:C4)320,1459
C10⋊4(C2×C22⋊C4) = C22×C23.D5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10:4(C2xC2^2:C4)320,1511

Non-split extensions G=N.Q with N=C10 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C10.1(C2×C22⋊C4) = C2×D10.D4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.1(C2xC2^2:C4)320,1082
C10.2(C2×C22⋊C4) = C23⋊F5⋊5C2φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10804C10.2(C2xC2^2:C4)320,1083
C10.3(C2×C22⋊C4) = C2×D10⋊C8φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10160C10.3(C2xC2^2:C4)320,1089
C10.4(C2×C22⋊C4) = D10.11M4(2)φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.4(C2xC2^2:C4)320,1091
C10.5(C2×C22⋊C4) = D10⋊9M4(2)φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.5(C2xC2^2:C4)320,1093
C10.6(C2×C22⋊C4) = D10⋊10M4(2)φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.6(C2xC2^2:C4)320,1094
C10.7(C2×C22⋊C4) = C2×Dic5.D4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10160C10.7(C2xC2^2:C4)320,1098
C10.8(C2×C22⋊C4) = (C4×D5).D4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10804C10.8(C2xC2^2:C4)320,1099
C10.9(C2×C22⋊C4) = C2×D10.3Q8φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.9(C2xC2^2:C4)320,1100
C10.10(C2×C22⋊C4) = C4×C22⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.10(C2xC2^2:C4)320,1101
C10.11(C2×C22⋊C4) = (C22×C4)⋊7F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.11(C2xC2^2:C4)320,1102
C10.12(C2×C22⋊C4) = D10⋊6(C4⋊C4)φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.12(C2xC2^2:C4)320,1103
C10.13(C2×C22⋊C4) = C2×D20⋊C4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.13(C2xC2^2:C4)320,1104
C10.14(C2×C22⋊C4) = (D4×C10)⋊C4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10408+C10.14(C2xC2^2:C4)320,1105
C10.15(C2×C22⋊C4) = C2×D4⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.15(C2xC2^2:C4)320,1106
C10.16(C2×C22⋊C4) = (C2×D4)⋊6F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808-C10.16(C2xC2^2:C4)320,1107
C10.17(C2×C22⋊C4) = (C2×D4)⋊7F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10408+C10.17(C2xC2^2:C4)320,1108
C10.18(C2×C22⋊C4) = (C2×D4)⋊8F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808-C10.18(C2xC2^2:C4)320,1109
C10.19(C2×C22⋊C4) = (C2×D4).7F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10160C10.19(C2xC2^2:C4)320,1113
C10.20(C2×C22⋊C4) = (C2×D4).8F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10160C10.20(C2xC2^2:C4)320,1114
C10.21(C2×C22⋊C4) = (C2×D4).9F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808-C10.21(C2xC2^2:C4)320,1115
C10.22(C2×C22⋊C4) = D5⋊(C4.D4)φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10408+C10.22(C2xC2^2:C4)320,1116
C10.23(C2×C22⋊C4) = (C2×F5)⋊D4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1040C10.23(C2xC2^2:C4)320,1117
C10.24(C2×C22⋊C4) = C2.(D4×F5)φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.24(C2xC2^2:C4)320,1118
C10.25(C2×C22⋊C4) = C2×Q8⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.25(C2xC2^2:C4)320,1119
C10.26(C2×C22⋊C4) = (C2×Q8)⋊4F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808-C10.26(C2xC2^2:C4)320,1120
C10.27(C2×C22⋊C4) = C2×Q8⋊2F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.27(C2xC2^2:C4)320,1121
C10.28(C2×C22⋊C4) = (C2×Q8)⋊6F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808+C10.28(C2xC2^2:C4)320,1122
C10.29(C2×C22⋊C4) = (C2×Q8)⋊7F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808+C10.29(C2xC2^2:C4)320,1123
C10.30(C2×C22⋊C4) = (C2×Q8).5F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10160C10.30(C2xC2^2:C4)320,1125
C10.31(C2×C22⋊C4) = (C2×Q8).7F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808-C10.31(C2xC2^2:C4)320,1127
C10.32(C2×C22⋊C4) = (C2×F5)⋊Q8φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.32(C2xC2^2:C4)320,1128
C10.33(C2×C22⋊C4) = D5⋊C4≀C2φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10408C10.33(C2xC2^2:C4)320,1130
C10.34(C2×C22⋊C4) = C4○D4⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10408C10.34(C2xC2^2:C4)320,1131
C10.35(C2×C22⋊C4) = C4○D20⋊C4φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808C10.35(C2xC2^2:C4)320,1132
C10.36(C2×C22⋊C4) = D4⋊F5⋊C2φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10808C10.36(C2xC2^2:C4)320,1133
C10.37(C2×C22⋊C4) = C2×C23⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.37(C2xC2^2:C4)320,1134
C10.38(C2×C22⋊C4) = C2×C23.2F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C10160C10.38(C2xC2^2:C4)320,1135
C10.39(C2×C22⋊C4) = C24.4F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.39(C2xC2^2:C4)320,1136
C10.40(C2×C22⋊C4) = C2×C23.F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1080C10.40(C2xC2^2:C4)320,1137
C10.41(C2×C22⋊C4) = C24⋊4F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C1040C10.41(C2xC2^2:C4)320,1138
C10.42(C2×C22⋊C4) = (C2×C20)⋊Q8φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10320C10.42(C2xC2^2:C4)320,273
C10.43(C2×C22⋊C4) = D5×C2.C42φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.43(C2xC2^2:C4)320,290
C10.44(C2×C22⋊C4) = C22.58(D4×D5)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.44(C2xC2^2:C4)320,291
C10.45(C2×C22⋊C4) = (C2×C4)⋊9D20φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.45(C2xC2^2:C4)320,292
C10.46(C2×C22⋊C4) = D10⋊2C42φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.46(C2xC2^2:C4)320,293
C10.47(C2×C22⋊C4) = D10⋊2(C4⋊C4)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.47(C2xC2^2:C4)320,294
C10.48(C2×C22⋊C4) = D5×C22⋊C8φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C1080C10.48(C2xC2^2:C4)320,351
C10.49(C2×C22⋊C4) = D10⋊7M4(2)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C1080C10.49(C2xC2^2:C4)320,353
C10.50(C2×C22⋊C4) = C22⋊C8⋊D5φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.50(C2xC2^2:C4)320,354
C10.51(C2×C22⋊C4) = C23⋊C4⋊5D5φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10808-C10.51(C2xC2^2:C4)320,367
C10.52(C2×C22⋊C4) = D5×C23⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10408+C10.52(C2xC2^2:C4)320,370
C10.53(C2×C22⋊C4) = D5×C4.D4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10408+C10.53(C2xC2^2:C4)320,371
C10.54(C2×C22⋊C4) = M4(2).19D10φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10808-C10.54(C2xC2^2:C4)320,372
C10.55(C2×C22⋊C4) = D5×C4.10D4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10808-C10.55(C2xC2^2:C4)320,377
C10.56(C2×C22⋊C4) = M4(2).21D10φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10808+C10.56(C2xC2^2:C4)320,378
C10.57(C2×C22⋊C4) = D5×D4⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C1080C10.57(C2xC2^2:C4)320,396
C10.58(C2×C22⋊C4) = (D4×D5)⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C1080C10.58(C2xC2^2:C4)320,397
C10.59(C2×C22⋊C4) = D4⋊(C4×D5)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.59(C2xC2^2:C4)320,398
C10.60(C2×C22⋊C4) = D4⋊2D5⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.60(C2xC2^2:C4)320,399
C10.61(C2×C22⋊C4) = D5×Q8⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.61(C2xC2^2:C4)320,428
C10.62(C2×C22⋊C4) = (Q8×D5)⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.62(C2xC2^2:C4)320,429
C10.63(C2×C22⋊C4) = Q8⋊(C4×D5)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.63(C2xC2^2:C4)320,430
C10.64(C2×C22⋊C4) = Q8⋊2D5⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.64(C2xC2^2:C4)320,431
C10.65(C2×C22⋊C4) = D5×C4≀C2φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10404C10.65(C2xC2^2:C4)320,447
C10.66(C2×C22⋊C4) = C42⋊D10φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10804C10.66(C2xC2^2:C4)320,448
C10.67(C2×C22⋊C4) = C22⋊C4×Dic5φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.67(C2xC2^2:C4)320,568
C10.68(C2×C22⋊C4) = C24.44D10φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.68(C2xC2^2:C4)320,569
C10.69(C2×C22⋊C4) = C24.12D10φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.69(C2xC2^2:C4)320,583
C10.70(C2×C22⋊C4) = C24.13D10φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C10160C10.70(C2xC2^2:C4)320,584
C10.71(C2×C22⋊C4) = C2×D20⋊4C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.71(C2xC2^2:C4)320,554
C10.72(C2×C22⋊C4) = (C2×C20)⋊10Q8φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10320C10.72(C2xC2^2:C4)320,556
C10.73(C2×C22⋊C4) = C4×D10⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.73(C2xC2^2:C4)320,565
C10.74(C2×C22⋊C4) = (C2×C4)⋊6D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.74(C2xC2^2:C4)320,566
C10.75(C2×C22⋊C4) = C23.42D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.75(C2xC2^2:C4)320,570
C10.76(C2×C22⋊C4) = C2×C23.1D10φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.76(C2xC2^2:C4)320,581
C10.77(C2×C22⋊C4) = C24.48D10φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.77(C2xC2^2:C4)320,582
C10.78(C2×C22⋊C4) = C23.45D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.78(C2xC2^2:C4)320,585
C10.79(C2×C22⋊C4) = C2×D20⋊6C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.79(C2xC2^2:C4)320,592
C10.80(C2×C22⋊C4) = C4○D20⋊9C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.80(C2xC2^2:C4)320,593
C10.81(C2×C22⋊C4) = C2×C10.Q16φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10320C10.81(C2xC2^2:C4)320,596
C10.82(C2×C22⋊C4) = (C2×Dic5)⋊6Q8φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10320C10.82(C2xC2^2:C4)320,601
C10.83(C2×C22⋊C4) = D10⋊4(C4⋊C4)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.83(C2xC2^2:C4)320,614
C10.84(C2×C22⋊C4) = (C2×D20)⋊22C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.84(C2xC2^2:C4)320,615
C10.85(C2×C22⋊C4) = C4⋊C4⋊36D10φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.85(C2xC2^2:C4)320,628
C10.86(C2×C22⋊C4) = C4○D20⋊10C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.86(C2xC2^2:C4)320,629
C10.87(C2×C22⋊C4) = C4.(C2×D20)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.87(C2xC2^2:C4)320,631
C10.88(C2×C22⋊C4) = C42⋊4D10φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10804C10.88(C2xC2^2:C4)320,632
C10.89(C2×C22⋊C4) = (C2×D20)⋊25C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10804C10.89(C2xC2^2:C4)320,633
C10.90(C2×C22⋊C4) = C2×C20.44D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10320C10.90(C2xC2^2:C4)320,730
C10.91(C2×C22⋊C4) = C2×D10⋊1C8φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.91(C2xC2^2:C4)320,735
C10.92(C2×C22⋊C4) = (C22×C8)⋊D5φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.92(C2xC2^2:C4)320,737
C10.93(C2×C22⋊C4) = C2×D20⋊5C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.93(C2xC2^2:C4)320,739
C10.94(C2×C22⋊C4) = C23.23D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.94(C2xC2^2:C4)320,740
C10.95(C2×C22⋊C4) = C23.46D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.95(C2xC2^2:C4)320,747
C10.96(C2×C22⋊C4) = D10⋊8M4(2)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.96(C2xC2^2:C4)320,753
C10.97(C2×C22⋊C4) = C4.89(C2×D20)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.97(C2xC2^2:C4)320,756
C10.98(C2×C22⋊C4) = C2×C20.46D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.98(C2xC2^2:C4)320,757
C10.99(C2×C22⋊C4) = C23.48D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.99(C2xC2^2:C4)320,758
C10.100(C2×C22⋊C4) = M4(2).31D10φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10804C10.100(C2xC2^2:C4)320,759
C10.101(C2×C22⋊C4) = C23.49D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.101(C2xC2^2:C4)320,760
C10.102(C2×C22⋊C4) = C2×C4.12D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.102(C2xC2^2:C4)320,763
C10.103(C2×C22⋊C4) = C2×D20⋊7C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C1080C10.103(C2xC2^2:C4)320,765
C10.104(C2×C22⋊C4) = C23.20D20φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10804C10.104(C2xC2^2:C4)320,766
C10.105(C2×C22⋊C4) = C2×C10.10C42φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10320C10.105(C2xC2^2:C4)320,835
C10.106(C2×C22⋊C4) = C24.65D10φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C10160C10.106(C2xC2^2:C4)320,840
C10.107(C2×C22⋊C4) = C2×C20.55D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.107(C2xC2^2:C4)320,833
C10.108(C2×C22⋊C4) = C24.4Dic5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C1080C10.108(C2xC2^2:C4)320,834
C10.109(C2×C22⋊C4) = C4×C23.D5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.109(C2xC2^2:C4)320,836
C10.110(C2×C22⋊C4) = C24.63D10φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.110(C2xC2^2:C4)320,838
C10.111(C2×C22⋊C4) = C24.64D10φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.111(C2xC2^2:C4)320,839
C10.112(C2×C22⋊C4) = C2×D4⋊Dic5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.112(C2xC2^2:C4)320,841
C10.113(C2×C22⋊C4) = (D4×C10)⋊18C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C1080C10.113(C2xC2^2:C4)320,842
C10.114(C2×C22⋊C4) = C2×C20.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C1080C10.114(C2xC2^2:C4)320,843
C10.115(C2×C22⋊C4) = C2×C23⋊Dic5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C1080C10.115(C2xC2^2:C4)320,846
C10.116(C2×C22⋊C4) = C24.18D10φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.116(C2xC2^2:C4)320,847
C10.117(C2×C22⋊C4) = C24.19D10φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.117(C2xC2^2:C4)320,848
C10.118(C2×C22⋊C4) = C2×Q8⋊Dic5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10320C10.118(C2xC2^2:C4)320,851
C10.119(C2×C22⋊C4) = (Q8×C10)⋊16C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.119(C2xC2^2:C4)320,852
C10.120(C2×C22⋊C4) = C2×C20.10D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.120(C2xC2^2:C4)320,853
C10.121(C2×C22⋊C4) = (Q8×C10)⋊17C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10320C10.121(C2xC2^2:C4)320,857
C10.122(C2×C22⋊C4) = C4○D4⋊Dic5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.122(C2xC2^2:C4)320,859
C10.123(C2×C22⋊C4) = C20.(C2×D4)φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.123(C2xC2^2:C4)320,860
C10.124(C2×C22⋊C4) = (D4×C10).24C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10160C10.124(C2xC2^2:C4)320,861
C10.125(C2×C22⋊C4) = C2×D4⋊2Dic5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C1080C10.125(C2xC2^2:C4)320,862
C10.126(C2×C22⋊C4) = (D4×C10)⋊21C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10804C10.126(C2xC2^2:C4)320,863
C10.127(C2×C22⋊C4) = (D4×C10).29C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10804C10.127(C2xC2^2:C4)320,864
C10.128(C2×C22⋊C4) = (D4×C10)⋊22C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C10804C10.128(C2xC2^2:C4)320,867
C10.129(C2×C22⋊C4) = C25.2D5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C1080C10.129(C2xC2^2:C4)320,874
C10.130(C2×C22⋊C4) = C10×C2.C42central extension (φ=1)320C10.130(C2xC2^2:C4)320,876
C10.131(C2×C22⋊C4) = C22⋊C4×C20central extension (φ=1)160C10.131(C2xC2^2:C4)320,878
C10.132(C2×C22⋊C4) = C5×C24⋊3C4central extension (φ=1)80C10.132(C2xC2^2:C4)320,880
C10.133(C2×C22⋊C4) = C5×C23.7Q8central extension (φ=1)160C10.133(C2xC2^2:C4)320,881
C10.134(C2×C22⋊C4) = C5×C23.34D4central extension (φ=1)160C10.134(C2xC2^2:C4)320,882
C10.135(C2×C22⋊C4) = C5×C23.23D4central extension (φ=1)160C10.135(C2xC2^2:C4)320,887
C10.136(C2×C22⋊C4) = C5×C24.3C22central extension (φ=1)160C10.136(C2xC2^2:C4)320,891
C10.137(C2×C22⋊C4) = C5×C23.67C23central extension (φ=1)320C10.137(C2xC2^2:C4)320,892
C10.138(C2×C22⋊C4) = C10×C22⋊C8central extension (φ=1)160C10.138(C2xC2^2:C4)320,907
C10.139(C2×C22⋊C4) = C5×C24.4C4central extension (φ=1)80C10.139(C2xC2^2:C4)320,908
C10.140(C2×C22⋊C4) = C5×(C22×C8)⋊C2central extension (φ=1)160C10.140(C2xC2^2:C4)320,909
C10.141(C2×C22⋊C4) = C10×C23⋊C4central extension (φ=1)80C10.141(C2xC2^2:C4)320,910
C10.142(C2×C22⋊C4) = C5×C23.C23central extension (φ=1)804C10.142(C2xC2^2:C4)320,911
C10.143(C2×C22⋊C4) = C10×C4.D4central extension (φ=1)80C10.143(C2xC2^2:C4)320,912
C10.144(C2×C22⋊C4) = C10×C4.10D4central extension (φ=1)160C10.144(C2xC2^2:C4)320,913
C10.145(C2×C22⋊C4) = C5×M4(2).8C22central extension (φ=1)804C10.145(C2xC2^2:C4)320,914
C10.146(C2×C22⋊C4) = C10×D4⋊C4central extension (φ=1)160C10.146(C2xC2^2:C4)320,915
C10.147(C2×C22⋊C4) = C10×Q8⋊C4central extension (φ=1)320C10.147(C2xC2^2:C4)320,916
C10.148(C2×C22⋊C4) = C5×C23.24D4central extension (φ=1)160C10.148(C2xC2^2:C4)320,917
C10.149(C2×C22⋊C4) = C5×C23.36D4central extension (φ=1)160C10.149(C2xC2^2:C4)320,918
C10.150(C2×C22⋊C4) = C5×C23.37D4central extension (φ=1)80C10.150(C2xC2^2:C4)320,919
C10.151(C2×C22⋊C4) = C5×C23.38D4central extension (φ=1)160C10.151(C2xC2^2:C4)320,920
C10.152(C2×C22⋊C4) = C10×C4≀C2central extension (φ=1)80C10.152(C2xC2^2:C4)320,921
C10.153(C2×C22⋊C4) = C5×C42⋊C22central extension (φ=1)804C10.153(C2xC2^2:C4)320,922

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