Extensions 1→N→G→Q→1 with N=C3 and Q=C2×A4⋊C4

Direct product G=N×Q with N=C3 and Q=C2×A4⋊C4
dρLabelID
C6×A4⋊C472C6xA4:C4288,905

Semidirect products G=N:Q with N=C3 and Q=C2×A4⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C2×A4⋊C4) = S3×A4⋊C4φ: C2×A4⋊C4/A4⋊C4C2 ⊆ Aut C3366C3:1(C2xA4:C4)288,856
C32(C2×A4⋊C4) = C2×C6.7S4φ: C2×A4⋊C4/C22×A4C2 ⊆ Aut C372C3:2(C2xA4:C4)288,916

Non-split extensions G=N.Q with N=C3 and Q=C2×A4⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C2×A4⋊C4) = C2×C6.S4φ: C2×A4⋊C4/C22×A4C2 ⊆ Aut C372C3.(C2xA4:C4)288,341

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