Extensions 1→N→G→Q→1 with N=C3 and Q=C4×S4

Direct product G=N×Q with N=C3 and Q=C4×S4
dρLabelID
C12×S4363C12xS4288,897

Semidirect products G=N:Q with N=C3 and Q=C4×S4
extensionφ:Q→Aut NdρLabelID
C31(C4×S4) = Dic32S4φ: C4×S4/A4⋊C4C2 ⊆ Aut C3366C3:1(C4xS4)288,854
C32(C4×S4) = C4×C3⋊S4φ: C4×S4/C4×A4C2 ⊆ Aut C3366C3:2(C4xS4)288,908
C33(C4×S4) = Dic3×S4φ: C4×S4/C2×S4C2 ⊆ Aut C3366-C3:3(C4xS4)288,853

Non-split extensions G=N.Q with N=C3 and Q=C4×S4
extensionφ:Q→Aut NdρLabelID
C3.(C4×S4) = C4×C3.S4φ: C4×S4/C4×A4C2 ⊆ Aut C3366C3.(C4xS4)288,333

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