Extensions 1→N→G→Q→1 with N=C8 and Q=C3×C12

Direct product G=N×Q with N=C8 and Q=C3×C12
dρLabelID
C12×C24288C12xC24288,314

Semidirect products G=N:Q with N=C8 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C81(C3×C12) = C32×C2.D8φ: C3×C12/C3×C6C2 ⊆ Aut C8288C8:1(C3xC12)288,325
C82(C3×C12) = C32×C4.Q8φ: C3×C12/C3×C6C2 ⊆ Aut C8288C8:2(C3xC12)288,324
C83(C3×C12) = C32×C8⋊C4φ: C3×C12/C3×C6C2 ⊆ Aut C8288C8:3(C3xC12)288,315

Non-split extensions G=N.Q with N=C8 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C8.1(C3×C12) = C32×C8.C4φ: C3×C12/C3×C6C2 ⊆ Aut C8144C8.1(C3xC12)288,326
C8.2(C3×C12) = C32×M5(2)φ: C3×C12/C3×C6C2 ⊆ Aut C8144C8.2(C3xC12)288,328

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