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Extensions 1→N→G→Q→1 with N=C12 and Q=C3×C12

Direct product G=N×Q with N=C12 and Q=C3×C12
dρLabelID
C3×C122432C3xC12^2432,512

Semidirect products G=N:Q with N=C12 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C12⋊1(C3×C12) = C32×C4⋊Dic3φ: C3×C12/C3×C6 → C2 ⊆ Aut C12144C12:1(C3xC12)432,473
C12⋊2(C3×C12) = Dic3×C3×C12φ: C3×C12/C3×C6 → C2 ⊆ Aut C12144C12:2(C3xC12)432,471
C12⋊3(C3×C12) = C4⋊C4×C33φ: C3×C12/C3×C6 → C2 ⊆ Aut C12432C12:3(C3xC12)432,514

Non-split extensions G=N.Q with N=C12 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C12.1(C3×C12) = C32×C4.Dic3φ: C3×C12/C3×C6 → C2 ⊆ Aut C1272C12.1(C3xC12)432,470
C12.2(C3×C12) = C32×C3⋊C16φ: C3×C12/C3×C6 → C2 ⊆ Aut C12144C12.2(C3xC12)432,229
C12.3(C3×C12) = C3×C6×C3⋊C8φ: C3×C12/C3×C6 → C2 ⊆ Aut C12144C12.3(C3xC12)432,469
C12.4(C3×C12) = C4⋊C4×C3×C9φ: C3×C12/C3×C6 → C2 ⊆ Aut C12432C12.4(C3xC12)432,206
C12.5(C3×C12) = C4⋊C4×He3φ: C3×C12/C3×C6 → C2 ⊆ Aut C12144C12.5(C3xC12)432,207
C12.6(C3×C12) = C4⋊C4×3- 1+2φ: C3×C12/C3×C6 → C2 ⊆ Aut C12144C12.6(C3xC12)432,208
C12.7(C3×C12) = M4(2)×C3×C9φ: C3×C12/C3×C6 → C2 ⊆ Aut C12216C12.7(C3xC12)432,212
C12.8(C3×C12) = M4(2)×He3φ: C3×C12/C3×C6 → C2 ⊆ Aut C12726C12.8(C3xC12)432,213
C12.9(C3×C12) = M4(2)×3- 1+2φ: C3×C12/C3×C6 → C2 ⊆ Aut C12726C12.9(C3xC12)432,214
C12.10(C3×C12) = M4(2)×C33φ: C3×C12/C3×C6 → C2 ⊆ Aut C12216C12.10(C3xC12)432,516
C12.11(C3×C12) = C16×He3central extension (φ=1)1443C12.11(C3xC12)432,35
C12.12(C3×C12) = C16×3- 1+2central extension (φ=1)1443C12.12(C3xC12)432,36
C12.13(C3×C12) = C42×He3central extension (φ=1)144C12.13(C3xC12)432,201
C12.14(C3×C12) = C42×3- 1+2central extension (φ=1)144C12.14(C3xC12)432,202
C12.15(C3×C12) = C2×C8×He3central extension (φ=1)144C12.15(C3xC12)432,210
C12.16(C3×C12) = C2×C8×3- 1+2central extension (φ=1)144C12.16(C3xC12)432,211

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