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Extensions 1→N→G→Q→1 with N=C4 and Q=C3⋊D4

Direct product G=N×Q with N=C4 and Q=C3⋊D4
dρLabelID
C4×C3⋊D448C4xC3:D496,135

Semidirect products G=N:Q with N=C4 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C3⋊D4) = C12⋊3D4φ: C3⋊D4/Dic3 → C2 ⊆ Aut C448C4:1(C3:D4)96,147
C4⋊2(C3⋊D4) = D6⋊3D4φ: C3⋊D4/D6 → C2 ⊆ Aut C448C4:2(C3:D4)96,145
C4⋊3(C3⋊D4) = C12⋊7D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C448C4:3(C3:D4)96,137

Non-split extensions G=N.Q with N=C4 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C3⋊D4) = C3⋊D16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C4484+C4.1(C3:D4)96,33
C4.2(C3⋊D4) = D8.S3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C4484-C4.2(C3:D4)96,34
C4.3(C3⋊D4) = C8.6D6φ: C3⋊D4/Dic3 → C2 ⊆ Aut C4484+C4.3(C3:D4)96,35
C4.4(C3⋊D4) = C3⋊Q32φ: C3⋊D4/Dic3 → C2 ⊆ Aut C4964-C4.4(C3:D4)96,36
C4.5(C3⋊D4) = C2×D4⋊S3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C448C4.5(C3:D4)96,138
C4.6(C3⋊D4) = C2×D4.S3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C448C4.6(C3:D4)96,140
C4.7(C3⋊D4) = C23.12D6φ: C3⋊D4/Dic3 → C2 ⊆ Aut C448C4.7(C3:D4)96,143
C4.8(C3⋊D4) = C2×Q8⋊2S3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C448C4.8(C3:D4)96,148
C4.9(C3⋊D4) = C2×C3⋊Q16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C496C4.9(C3:D4)96,150
C4.10(C3⋊D4) = Dic3⋊Q8φ: C3⋊D4/Dic3 → C2 ⊆ Aut C496C4.10(C3:D4)96,151
C4.11(C3⋊D4) = C12.23D4φ: C3⋊D4/Dic3 → C2 ⊆ Aut C448C4.11(C3:D4)96,154
C4.12(C3⋊D4) = D4⋊Dic3φ: C3⋊D4/D6 → C2 ⊆ Aut C448C4.12(C3:D4)96,39
C4.13(C3⋊D4) = C12.D4φ: C3⋊D4/D6 → C2 ⊆ Aut C4244C4.13(C3:D4)96,40
C4.14(C3⋊D4) = Q8⋊2Dic3φ: C3⋊D4/D6 → C2 ⊆ Aut C496C4.14(C3:D4)96,42
C4.15(C3⋊D4) = C12.10D4φ: C3⋊D4/D6 → C2 ⊆ Aut C4484C4.15(C3:D4)96,43
C4.16(C3⋊D4) = D12⋊6C22φ: C3⋊D4/D6 → C2 ⊆ Aut C4244C4.16(C3:D4)96,139
C4.17(C3⋊D4) = Q8.11D6φ: C3⋊D4/D6 → C2 ⊆ Aut C4484C4.17(C3:D4)96,149
C4.18(C3⋊D4) = D6⋊3Q8φ: C3⋊D4/D6 → C2 ⊆ Aut C448C4.18(C3:D4)96,153
C4.19(C3⋊D4) = C2.Dic12φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C496C4.19(C3:D4)96,23
C4.20(C3⋊D4) = C2.D24φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C448C4.20(C3:D4)96,28
C4.21(C3⋊D4) = C12.46D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C4244+C4.21(C3:D4)96,30
C4.22(C3⋊D4) = C12.47D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C4484-C4.22(C3:D4)96,31
C4.23(C3⋊D4) = C12.48D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C448C4.23(C3:D4)96,131
C4.24(C3⋊D4) = D4⋊D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C4244+C4.24(C3:D4)96,156
C4.25(C3⋊D4) = Q8.14D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C4484-C4.25(C3:D4)96,158
C4.26(C3⋊D4) = Dic3⋊C8central extension (φ=1)96C4.26(C3:D4)96,21
C4.27(C3⋊D4) = D6⋊C8central extension (φ=1)48C4.27(C3:D4)96,27
C4.28(C3⋊D4) = C12.53D4central extension (φ=1)484C4.28(C3:D4)96,29
C4.29(C3⋊D4) = D12⋊C4central extension (φ=1)244C4.29(C3:D4)96,32
C4.30(C3⋊D4) = C12.55D4central extension (φ=1)48C4.30(C3:D4)96,37
C4.31(C3⋊D4) = Q8⋊3Dic3central extension (φ=1)244C4.31(C3:D4)96,44
C4.32(C3⋊D4) = Q8.13D6central extension (φ=1)484C4.32(C3:D4)96,157

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