Extensions 1→N→G→Q→1 with N=C3 and Q=C4:D12

Direct product G=NxQ with N=C3 and Q=C4:D12
dρLabelID
C3xC4:D1296C3xC4:D12288,645

Semidirect products G=N:Q with N=C3 and Q=C4:D12
extensionφ:Q→Aut NdρLabelID
C3:1(C4:D12) = C12:4D12φ: C4:D12/C4xC12C2 ⊆ Aut C3144C3:1(C4:D12)288,731
C3:2(C4:D12) = C12:D12φ: C4:D12/C2xD12C2 ⊆ Aut C348C3:2(C4:D12)288,559

Non-split extensions G=N.Q with N=C3 and Q=C4:D12
extensionφ:Q→Aut NdρLabelID
C3.(C4:D12) = C42:6D9φ: C4:D12/C4xC12C2 ⊆ Aut C3144C3.(C4:D12)288,84

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