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

		d	ρ	Label	ID
C₃×A₄⋊Q₈		72	6	C3xA4:Q8	288,896

Semidirect products G=N:Q with N=C₃ and Q=A₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(A₄⋊Q₈) = Dic₃.S₄	φ: A₄⋊Q₈/A₄⋊C₄ → C₂ ⊆ Aut C₃	72	6-	C3:1(A4:Q8)	288,852
C₃⋊₂(A₄⋊Q₈) = A₄⋊Dic₆	φ: A₄⋊Q₈/C₄×A₄ → C₂ ⊆ Aut C₃	72	6-	C3:2(A4:Q8)	288,907

Non-split extensions G=N.Q with N=C₃ and Q=A₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(A₄⋊Q₈) = C₁₂.₁S₄	φ: A₄⋊Q₈/C₄×A₄ → C₂ ⊆ Aut C₃	72	6-	C3.(A4:Q8)	288,332

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