Extensions 1→N→G→Q→1 with N=C20 and Q=C2xC4

Direct product G=NxQ with N=C20 and Q=C2xC4
dρLabelID
C2xC4xC20160C2xC4xC20160,175

Semidirect products G=N:Q with N=C20 and Q=C2xC4
extensionφ:Q→Aut NdρLabelID
C20:(C2xC4) = D4xF5φ: C2xC4/C1C2xC4 ⊆ Aut C20208+C20:(C2xC4)160,207
C20:2(C2xC4) = C2xC4:F5φ: C2xC4/C2C4 ⊆ Aut C2040C20:2(C2xC4)160,204
C20:3(C2xC4) = C2xC4xF5φ: C2xC4/C2C4 ⊆ Aut C2040C20:3(C2xC4)160,203
C20:4(C2xC4) = D5xC4:C4φ: C2xC4/C2C22 ⊆ Aut C2080C20:4(C2xC4)160,112
C20:5(C2xC4) = D20:8C4φ: C2xC4/C2C22 ⊆ Aut C2080C20:5(C2xC4)160,114
C20:6(C2xC4) = D4xDic5φ: C2xC4/C2C22 ⊆ Aut C2080C20:6(C2xC4)160,155
C20:7(C2xC4) = C4xD20φ: C2xC4/C4C2 ⊆ Aut C2080C20:7(C2xC4)160,94
C20:8(C2xC4) = D5xC42φ: C2xC4/C4C2 ⊆ Aut C2080C20:8(C2xC4)160,92
C20:9(C2xC4) = D4xC20φ: C2xC4/C4C2 ⊆ Aut C2080C20:9(C2xC4)160,179
C20:10(C2xC4) = C2xC4:Dic5φ: C2xC4/C22C2 ⊆ Aut C20160C20:10(C2xC4)160,146
C20:11(C2xC4) = C2xC4xDic5φ: C2xC4/C22C2 ⊆ Aut C20160C20:11(C2xC4)160,143
C20:12(C2xC4) = C10xC4:C4φ: C2xC4/C22C2 ⊆ Aut C20160C20:12(C2xC4)160,177

Non-split extensions G=N.Q with N=C20 and Q=C2xC4
extensionφ:Q→Aut NdρLabelID
C20.1(C2xC4) = D20:C4φ: C2xC4/C1C2xC4 ⊆ Aut C20408+C20.1(C2xC4)160,82
C20.2(C2xC4) = D4:F5φ: C2xC4/C1C2xC4 ⊆ Aut C20408-C20.2(C2xC4)160,83
C20.3(C2xC4) = Q8:F5φ: C2xC4/C1C2xC4 ⊆ Aut C20408-C20.3(C2xC4)160,84
C20.4(C2xC4) = Q8:2F5φ: C2xC4/C1C2xC4 ⊆ Aut C20408+C20.4(C2xC4)160,85
C20.5(C2xC4) = D4.F5φ: C2xC4/C1C2xC4 ⊆ Aut C20808-C20.5(C2xC4)160,206
C20.6(C2xC4) = Q8.F5φ: C2xC4/C1C2xC4 ⊆ Aut C20808+C20.6(C2xC4)160,208
C20.7(C2xC4) = Q8xF5φ: C2xC4/C1C2xC4 ⊆ Aut C20408-C20.7(C2xC4)160,209
C20.8(C2xC4) = C40:C4φ: C2xC4/C2C4 ⊆ Aut C20404C20.8(C2xC4)160,68
C20.9(C2xC4) = D5.D8φ: C2xC4/C2C4 ⊆ Aut C20404C20.9(C2xC4)160,69
C20.10(C2xC4) = C40.C4φ: C2xC4/C2C4 ⊆ Aut C20804C20.10(C2xC4)160,70
C20.11(C2xC4) = D10.Q8φ: C2xC4/C2C4 ⊆ Aut C20804C20.11(C2xC4)160,71
C20.12(C2xC4) = C2xC4.F5φ: C2xC4/C2C4 ⊆ Aut C2080C20.12(C2xC4)160,201
C20.13(C2xC4) = D5:C16φ: C2xC4/C2C4 ⊆ Aut C20804C20.13(C2xC4)160,64
C20.14(C2xC4) = C8.F5φ: C2xC4/C2C4 ⊆ Aut C20804C20.14(C2xC4)160,65
C20.15(C2xC4) = C8xF5φ: C2xC4/C2C4 ⊆ Aut C20404C20.15(C2xC4)160,66
C20.16(C2xC4) = C8:F5φ: C2xC4/C2C4 ⊆ Aut C20404C20.16(C2xC4)160,67
C20.17(C2xC4) = C2xC5:C16φ: C2xC4/C2C4 ⊆ Aut C20160C20.17(C2xC4)160,72
C20.18(C2xC4) = C20.C8φ: C2xC4/C2C4 ⊆ Aut C20804C20.18(C2xC4)160,73
C20.19(C2xC4) = C2xD5:C8φ: C2xC4/C2C4 ⊆ Aut C2080C20.19(C2xC4)160,200
C20.20(C2xC4) = D5:M4(2)φ: C2xC4/C2C4 ⊆ Aut C20404C20.20(C2xC4)160,202
C20.21(C2xC4) = D10.C23φ: C2xC4/C2C4 ⊆ Aut C20404C20.21(C2xC4)160,205
C20.22(C2xC4) = C10.D8φ: C2xC4/C2C22 ⊆ Aut C20160C20.22(C2xC4)160,14
C20.23(C2xC4) = C20.Q8φ: C2xC4/C2C22 ⊆ Aut C20160C20.23(C2xC4)160,15
C20.24(C2xC4) = D20:6C4φ: C2xC4/C2C22 ⊆ Aut C2080C20.24(C2xC4)160,16
C20.25(C2xC4) = C10.Q16φ: C2xC4/C2C22 ⊆ Aut C20160C20.25(C2xC4)160,17
C20.26(C2xC4) = C20.53D4φ: C2xC4/C2C22 ⊆ Aut C20804C20.26(C2xC4)160,29
C20.27(C2xC4) = D20:7C4φ: C2xC4/C2C22 ⊆ Aut C20404C20.27(C2xC4)160,32
C20.28(C2xC4) = D4:Dic5φ: C2xC4/C2C22 ⊆ Aut C2080C20.28(C2xC4)160,39
C20.29(C2xC4) = Q8:Dic5φ: C2xC4/C2C22 ⊆ Aut C20160C20.29(C2xC4)160,42
C20.30(C2xC4) = D4:2Dic5φ: C2xC4/C2C22 ⊆ Aut C20404C20.30(C2xC4)160,44
C20.31(C2xC4) = Dic5:3Q8φ: C2xC4/C2C22 ⊆ Aut C20160C20.31(C2xC4)160,108
C20.32(C2xC4) = C4:C4:7D5φ: C2xC4/C2C22 ⊆ Aut C2080C20.32(C2xC4)160,113
C20.33(C2xC4) = D5xM4(2)φ: C2xC4/C2C22 ⊆ Aut C20404C20.33(C2xC4)160,127
C20.34(C2xC4) = D20.2C4φ: C2xC4/C2C22 ⊆ Aut C20804C20.34(C2xC4)160,128
C20.35(C2xC4) = Q8xDic5φ: C2xC4/C2C22 ⊆ Aut C20160C20.35(C2xC4)160,166
C20.36(C2xC4) = D4.Dic5φ: C2xC4/C2C22 ⊆ Aut C20804C20.36(C2xC4)160,169
C20.37(C2xC4) = D20:4C4φ: C2xC4/C4C2 ⊆ Aut C20402C20.37(C2xC4)160,12
C20.38(C2xC4) = C20.44D4φ: C2xC4/C4C2 ⊆ Aut C20160C20.38(C2xC4)160,23
C20.39(C2xC4) = D20:5C4φ: C2xC4/C4C2 ⊆ Aut C2080C20.39(C2xC4)160,28
C20.40(C2xC4) = C4xDic10φ: C2xC4/C4C2 ⊆ Aut C20160C20.40(C2xC4)160,89
C20.41(C2xC4) = D20.3C4φ: C2xC4/C4C2 ⊆ Aut C20802C20.41(C2xC4)160,122
C20.42(C2xC4) = D5xC16φ: C2xC4/C4C2 ⊆ Aut C20802C20.42(C2xC4)160,4
C20.43(C2xC4) = C80:C2φ: C2xC4/C4C2 ⊆ Aut C20802C20.43(C2xC4)160,5
C20.44(C2xC4) = C4xC5:2C8φ: C2xC4/C4C2 ⊆ Aut C20160C20.44(C2xC4)160,9
C20.45(C2xC4) = C42.D5φ: C2xC4/C4C2 ⊆ Aut C20160C20.45(C2xC4)160,10
C20.46(C2xC4) = C42:D5φ: C2xC4/C4C2 ⊆ Aut C2080C20.46(C2xC4)160,93
C20.47(C2xC4) = D5xC2xC8φ: C2xC4/C4C2 ⊆ Aut C2080C20.47(C2xC4)160,120
C20.48(C2xC4) = C2xC8:D5φ: C2xC4/C4C2 ⊆ Aut C2080C20.48(C2xC4)160,121
C20.49(C2xC4) = C5xD4:C4φ: C2xC4/C4C2 ⊆ Aut C2080C20.49(C2xC4)160,52
C20.50(C2xC4) = C5xQ8:C4φ: C2xC4/C4C2 ⊆ Aut C20160C20.50(C2xC4)160,53
C20.51(C2xC4) = C5xC4wrC2φ: C2xC4/C4C2 ⊆ Aut C20402C20.51(C2xC4)160,54
C20.52(C2xC4) = Q8xC20φ: C2xC4/C4C2 ⊆ Aut C20160C20.52(C2xC4)160,180
C20.53(C2xC4) = C5xC8oD4φ: C2xC4/C4C2 ⊆ Aut C20802C20.53(C2xC4)160,192
C20.54(C2xC4) = C40:6C4φ: C2xC4/C22C2 ⊆ Aut C20160C20.54(C2xC4)160,24
C20.55(C2xC4) = C40:5C4φ: C2xC4/C22C2 ⊆ Aut C20160C20.55(C2xC4)160,25
C20.56(C2xC4) = C40.6C4φ: C2xC4/C22C2 ⊆ Aut C20802C20.56(C2xC4)160,26
C20.57(C2xC4) = C2xC4.Dic5φ: C2xC4/C22C2 ⊆ Aut C2080C20.57(C2xC4)160,142
C20.58(C2xC4) = C23.21D10φ: C2xC4/C22C2 ⊆ Aut C2080C20.58(C2xC4)160,147
C20.59(C2xC4) = C2xC5:2C16φ: C2xC4/C22C2 ⊆ Aut C20160C20.59(C2xC4)160,18
C20.60(C2xC4) = C20.4C8φ: C2xC4/C22C2 ⊆ Aut C20802C20.60(C2xC4)160,19
C20.61(C2xC4) = C8xDic5φ: C2xC4/C22C2 ⊆ Aut C20160C20.61(C2xC4)160,20
C20.62(C2xC4) = C40:8C4φ: C2xC4/C22C2 ⊆ Aut C20160C20.62(C2xC4)160,22
C20.63(C2xC4) = C22xC5:2C8φ: C2xC4/C22C2 ⊆ Aut C20160C20.63(C2xC4)160,141
C20.64(C2xC4) = C5xC4.Q8φ: C2xC4/C22C2 ⊆ Aut C20160C20.64(C2xC4)160,56
C20.65(C2xC4) = C5xC2.D8φ: C2xC4/C22C2 ⊆ Aut C20160C20.65(C2xC4)160,57
C20.66(C2xC4) = C5xC8.C4φ: C2xC4/C22C2 ⊆ Aut C20802C20.66(C2xC4)160,58
C20.67(C2xC4) = C5xC42:C2φ: C2xC4/C22C2 ⊆ Aut C2080C20.67(C2xC4)160,178
C20.68(C2xC4) = C10xM4(2)φ: C2xC4/C22C2 ⊆ Aut C2080C20.68(C2xC4)160,191
C20.69(C2xC4) = C5xC8:C4central extension (φ=1)160C20.69(C2xC4)160,47
C20.70(C2xC4) = C5xM5(2)central extension (φ=1)802C20.70(C2xC4)160,60

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