Extensions 1→N→G→Q→1 with N=C3 and Q=A4⋊Q8

Direct product G=N×Q with N=C3 and Q=A4⋊Q8
dρLabelID
C3×A4⋊Q8726C3xA4:Q8288,896

Semidirect products G=N:Q with N=C3 and Q=A4⋊Q8
extensionφ:Q→Aut NdρLabelID
C31(A4⋊Q8) = Dic3.S4φ: A4⋊Q8/A4⋊C4C2 ⊆ Aut C3726-C3:1(A4:Q8)288,852
C32(A4⋊Q8) = A4⋊Dic6φ: A4⋊Q8/C4×A4C2 ⊆ Aut C3726-C3:2(A4:Q8)288,907

Non-split extensions G=N.Q with N=C3 and Q=A4⋊Q8
extensionφ:Q→Aut NdρLabelID
C3.(A4⋊Q8) = C12.1S4φ: A4⋊Q8/C4×A4C2 ⊆ Aut C3726-C3.(A4:Q8)288,332

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