Extensions 1→N→G→Q→1 with N=C₃ and Q=A₄⋊C₈

Direct product G=N×Q with N=C₃ and Q=A₄⋊C₈

		d	ρ	Label	ID
C₃×A₄⋊C₈		72	3	C3xA4:C8	288,398

Semidirect products G=N:Q with N=C₃ and Q=A₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(A₄⋊C₈) = C₁₂.₁₂S₄	φ: A₄⋊C₈/C₄×A₄ → C₂ ⊆ Aut C₃	72	6	C3:(A4:C8)	288,402

Non-split extensions G=N.Q with N=C₃ and Q=A₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(A₄⋊C₈) = C₁₂.S₄	φ: A₄⋊C₈/C₄×A₄ → C₂ ⊆ Aut C₃	72	6	C3.(A4:C8)	288,68

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Extensions 1→N→G→Q→1 with N=C3 and Q=A4⋊C8