Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4.A4

Direct product G=N×Q with N=C3 and Q=C3×C4.A4
dρLabelID
C32×C4.A4144C3^2xC4.A4432,699

Semidirect products G=N:Q with N=C3 and Q=C3×C4.A4
extensionφ:Q→Aut NdρLabelID
C3⋊(C3×C4.A4) = C3×Dic3.A4φ: C3×C4.A4/C3×SL2(𝔽3)C2 ⊆ Aut C3484C3:(C3xC4.A4)432,622

Non-split extensions G=N.Q with N=C3 and Q=C3×C4.A4
extensionφ:Q→Aut NdρLabelID
C3.1(C3×C4.A4) = C9×C4.A4central extension (φ=1)1442C3.1(C3xC4.A4)432,329
C3.2(C3×C4.A4) = C3×Q8.C18central extension (φ=1)216C3.2(C3xC4.A4)432,337
C3.3(C3×C4.A4) = C36.A4central stem extension (φ=1)1446C3.3(C3xC4.A4)432,330
C3.4(C3×C4.A4) = Q8⋊C94C6central stem extension (φ=1)726C3.4(C3xC4.A4)432,338
C3.5(C3×C4.A4) = C4○D4⋊He3central stem extension (φ=1)726C3.5(C3xC4.A4)432,339

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