Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C4○D12

Direct product G=N×Q with N=C3 and Q=C2×C4○D12
dρLabelID
C6×C4○D1248C6xC4oD12288,991

Semidirect products G=N:Q with N=C3 and Q=C2×C4○D12
extensionφ:Q→Aut NdρLabelID
C31(C2×C4○D12) = C2×D6.6D6φ: C2×C4○D12/C2×Dic6C2 ⊆ Aut C348C3:1(C2xC4oD12)288,949
C32(C2×C4○D12) = C2×D6.D6φ: C2×C4○D12/S3×C2×C4C2 ⊆ Aut C348C3:2(C2xC4oD12)288,948
C33(C2×C4○D12) = C2×D125S3φ: C2×C4○D12/C2×D12C2 ⊆ Aut C396C3:3(C2xC4oD12)288,943
C34(C2×C4○D12) = S3×C4○D12φ: C2×C4○D12/C4○D12C2 ⊆ Aut C3484C3:4(C2xC4oD12)288,953
C35(C2×C4○D12) = C2×D6.3D6φ: C2×C4○D12/C2×C3⋊D4C2 ⊆ Aut C348C3:5(C2xC4oD12)288,970
C36(C2×C4○D12) = C2×C12.59D6φ: C2×C4○D12/C22×C12C2 ⊆ Aut C3144C3:6(C2xC4oD12)288,1006

Non-split extensions G=N.Q with N=C3 and Q=C2×C4○D12
extensionφ:Q→Aut NdρLabelID
C3.(C2×C4○D12) = C2×D365C2φ: C2×C4○D12/C22×C12C2 ⊆ Aut C3144C3.(C2xC4oD12)288,355

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