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Extensions 1→N→G→Q→1 with N=C12 and Q=C2xC4

Direct product G=NxQ with N=C12 and Q=C2xC4
dρLabelID
C2xC4xC1296C2xC4xC1296,161

Semidirect products G=N:Q with N=C12 and Q=C2xC4
extensionφ:Q→Aut NdρLabelID
C12:1(C2xC4) = S3xC4:C4φ: C2xC4/C2 → C22 ⊆ Aut C1248C12:1(C2xC4)96,98
C12:2(C2xC4) = Dic3:5D4φ: C2xC4/C2 → C22 ⊆ Aut C1248C12:2(C2xC4)96,100
C12:3(C2xC4) = D4xDic3φ: C2xC4/C2 → C22 ⊆ Aut C1248C12:3(C2xC4)96,141
C12:4(C2xC4) = C4xD12φ: C2xC4/C4 → C2 ⊆ Aut C1248C12:4(C2xC4)96,80
C12:5(C2xC4) = S3xC42φ: C2xC4/C4 → C2 ⊆ Aut C1248C12:5(C2xC4)96,78
C12:6(C2xC4) = D4xC12φ: C2xC4/C4 → C2 ⊆ Aut C1248C12:6(C2xC4)96,165
C12:7(C2xC4) = C2xC4:Dic3φ: C2xC4/C22 → C2 ⊆ Aut C1296C12:7(C2xC4)96,132
C12:8(C2xC4) = C2xC4xDic3φ: C2xC4/C22 → C2 ⊆ Aut C1296C12:8(C2xC4)96,129
C12:9(C2xC4) = C6xC4:C4φ: C2xC4/C22 → C2 ⊆ Aut C1296C12:9(C2xC4)96,163

Non-split extensions G=N.Q with N=C12 and Q=C2xC4
extensionφ:Q→Aut NdρLabelID
C12.1(C2xC4) = C6.Q16φ: C2xC4/C2 → C22 ⊆ Aut C1296C12.1(C2xC4)96,14
C12.2(C2xC4) = C12.Q8φ: C2xC4/C2 → C22 ⊆ Aut C1296C12.2(C2xC4)96,15
C12.3(C2xC4) = C6.D8φ: C2xC4/C2 → C22 ⊆ Aut C1248C12.3(C2xC4)96,16
C12.4(C2xC4) = C6.SD16φ: C2xC4/C2 → C22 ⊆ Aut C1296C12.4(C2xC4)96,17
C12.5(C2xC4) = C12.53D4φ: C2xC4/C2 → C22 ⊆ Aut C12484C12.5(C2xC4)96,29
C12.6(C2xC4) = D12:C4φ: C2xC4/C2 → C22 ⊆ Aut C12244C12.6(C2xC4)96,32
C12.7(C2xC4) = D4:Dic3φ: C2xC4/C2 → C22 ⊆ Aut C1248C12.7(C2xC4)96,39
C12.8(C2xC4) = Q8:2Dic3φ: C2xC4/C2 → C22 ⊆ Aut C1296C12.8(C2xC4)96,42
C12.9(C2xC4) = Q8:3Dic3φ: C2xC4/C2 → C22 ⊆ Aut C12244C12.9(C2xC4)96,44
C12.10(C2xC4) = Dic6:C4φ: C2xC4/C2 → C22 ⊆ Aut C1296C12.10(C2xC4)96,94
C12.11(C2xC4) = C4:C4:7S3φ: C2xC4/C2 → C22 ⊆ Aut C1248C12.11(C2xC4)96,99
C12.12(C2xC4) = S3xM4(2)φ: C2xC4/C2 → C22 ⊆ Aut C12244C12.12(C2xC4)96,113
C12.13(C2xC4) = D12.C4φ: C2xC4/C2 → C22 ⊆ Aut C12484C12.13(C2xC4)96,114
C12.14(C2xC4) = Q8xDic3φ: C2xC4/C2 → C22 ⊆ Aut C1296C12.14(C2xC4)96,152
C12.15(C2xC4) = D4.Dic3φ: C2xC4/C2 → C22 ⊆ Aut C12484C12.15(C2xC4)96,155
C12.16(C2xC4) = C42:4S3φ: C2xC4/C4 → C2 ⊆ Aut C12242C12.16(C2xC4)96,12
C12.17(C2xC4) = C2.Dic12φ: C2xC4/C4 → C2 ⊆ Aut C1296C12.17(C2xC4)96,23
C12.18(C2xC4) = C2.D24φ: C2xC4/C4 → C2 ⊆ Aut C1248C12.18(C2xC4)96,28
C12.19(C2xC4) = C4xDic6φ: C2xC4/C4 → C2 ⊆ Aut C1296C12.19(C2xC4)96,75
C12.20(C2xC4) = C8oD12φ: C2xC4/C4 → C2 ⊆ Aut C12482C12.20(C2xC4)96,108
C12.21(C2xC4) = S3xC16φ: C2xC4/C4 → C2 ⊆ Aut C12482C12.21(C2xC4)96,4
C12.22(C2xC4) = D6.C8φ: C2xC4/C4 → C2 ⊆ Aut C12482C12.22(C2xC4)96,5
C12.23(C2xC4) = C4xC3:C8φ: C2xC4/C4 → C2 ⊆ Aut C1296C12.23(C2xC4)96,9
C12.24(C2xC4) = C42.S3φ: C2xC4/C4 → C2 ⊆ Aut C1296C12.24(C2xC4)96,10
C12.25(C2xC4) = C42:2S3φ: C2xC4/C4 → C2 ⊆ Aut C1248C12.25(C2xC4)96,79
C12.26(C2xC4) = S3xC2xC8φ: C2xC4/C4 → C2 ⊆ Aut C1248C12.26(C2xC4)96,106
C12.27(C2xC4) = C2xC8:S3φ: C2xC4/C4 → C2 ⊆ Aut C1248C12.27(C2xC4)96,107
C12.28(C2xC4) = C3xD4:C4φ: C2xC4/C4 → C2 ⊆ Aut C1248C12.28(C2xC4)96,52
C12.29(C2xC4) = C3xQ8:C4φ: C2xC4/C4 → C2 ⊆ Aut C1296C12.29(C2xC4)96,53
C12.30(C2xC4) = C3xC4wrC2φ: C2xC4/C4 → C2 ⊆ Aut C12242C12.30(C2xC4)96,54
C12.31(C2xC4) = Q8xC12φ: C2xC4/C4 → C2 ⊆ Aut C1296C12.31(C2xC4)96,166
C12.32(C2xC4) = C3xC8oD4φ: C2xC4/C4 → C2 ⊆ Aut C12482C12.32(C2xC4)96,178
C12.33(C2xC4) = C8:Dic3φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.33(C2xC4)96,24
C12.34(C2xC4) = C24:1C4φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.34(C2xC4)96,25
C12.35(C2xC4) = C24.C4φ: C2xC4/C22 → C2 ⊆ Aut C12482C12.35(C2xC4)96,26
C12.36(C2xC4) = C2xC4.Dic3φ: C2xC4/C22 → C2 ⊆ Aut C1248C12.36(C2xC4)96,128
C12.37(C2xC4) = C23.26D6φ: C2xC4/C22 → C2 ⊆ Aut C1248C12.37(C2xC4)96,133
C12.38(C2xC4) = C2xC3:C16φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.38(C2xC4)96,18
C12.39(C2xC4) = C12.C8φ: C2xC4/C22 → C2 ⊆ Aut C12482C12.39(C2xC4)96,19
C12.40(C2xC4) = C8xDic3φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.40(C2xC4)96,20
C12.41(C2xC4) = C24:C4φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.41(C2xC4)96,22
C12.42(C2xC4) = C22xC3:C8φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.42(C2xC4)96,127
C12.43(C2xC4) = C3xC4.Q8φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.43(C2xC4)96,56
C12.44(C2xC4) = C3xC2.D8φ: C2xC4/C22 → C2 ⊆ Aut C1296C12.44(C2xC4)96,57
C12.45(C2xC4) = C3xC8.C4φ: C2xC4/C22 → C2 ⊆ Aut C12482C12.45(C2xC4)96,58
C12.46(C2xC4) = C3xC42:C2φ: C2xC4/C22 → C2 ⊆ Aut C1248C12.46(C2xC4)96,164
C12.47(C2xC4) = C6xM4(2)φ: C2xC4/C22 → C2 ⊆ Aut C1248C12.47(C2xC4)96,177
C12.48(C2xC4) = C3xC8:C4central extension (φ=1)96C12.48(C2xC4)96,47
C12.49(C2xC4) = C3xM5(2)central extension (φ=1)482C12.49(C2xC4)96,60

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