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

Direct product G=N×Q with N=C₃ and Q=Q₈×A₄

		d	ρ	Label	ID
C₃×Q₈×A₄		72	6	C3xQ8xA4	288,982

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Q₈×A₄) = A₄×Dic₆	φ: Q₈×A₄/C₄×A₄ → C₂ ⊆ Aut C₃	72	6-	C3:(Q8xA4)	288,918

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈×A₄) = Q₈×C₃.A₄	central extension (φ=1)	72	6	C3.(Q8xA4)	288,346

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