Extensions 1→N→G→Q→1 with N=C3 and Q=C8○D12

Direct product G=N×Q with N=C3 and Q=C8○D12
dρLabelID
C3×C8○D12482C3xC8oD12288,672

Semidirect products G=N:Q with N=C3 and Q=C8○D12
extensionφ:Q→Aut NdρLabelID
C31(C8○D12) = C24.63D6φ: C8○D12/S3×C8C2 ⊆ Aut C3484C3:1(C8oD12)288,451
C32(C8○D12) = C24.64D6φ: C8○D12/C8⋊S3C2 ⊆ Aut C3484C3:2(C8oD12)288,452
C33(C8○D12) = C3⋊C8.22D6φ: C8○D12/C4.Dic3C2 ⊆ Aut C3484C3:3(C8oD12)288,465
C34(C8○D12) = C24.95D6φ: C8○D12/C2×C24C2 ⊆ Aut C3144C3:4(C8oD12)288,758
C35(C8○D12) = D12.2Dic3φ: C8○D12/C4○D12C2 ⊆ Aut C3484C3:5(C8oD12)288,462

Non-split extensions G=N.Q with N=C3 and Q=C8○D12
extensionφ:Q→Aut NdρLabelID
C3.(C8○D12) = D36.2C4φ: C8○D12/C2×C24C2 ⊆ Aut C31442C3.(C8oD12)288,112

׿
×
𝔽