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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁A₄ = C₃×Q₈⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₃×Q₈	72	6	(C3xQ8):1A4	288,986
(C₃×Q₈)⋊₂A₄ = C₃×C₂³⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₃×Q₈	24	4	(C3xQ8):2A4	288,987

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁A₄ = C₂²⋊(Q₈⋊C₉)	φ: A₄/C₂² → C₃ ⊆ Out C₃×Q₈	72	6	(C3xQ8).1A4	288,350
(C₃×Q₈).₂A₄ = 2₊¹⁺⁴⋊₂C₉	φ: A₄/C₂² → C₃ ⊆ Out C₃×Q₈	72	4	(C3xQ8).2A4	288,351
(C₃×Q₈).₃A₄ = Q₈×C₃.A₄	φ: trivial image	72	6	(C3xQ8).3A4	288,346
(C₃×Q₈).₄A₄ = 2₊¹⁺⁴⋊C₉	φ: trivial image	72	4	(C3xQ8).4A4	288,348
(C₃×Q₈).₅A₄ = C₃×Q₈.A₄	φ: trivial image	72	4	(C3xQ8).5A4	288,984

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