Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=Q₈

Direct product G=N×Q with N=C₃²×C₆ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃²×C₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=C₃²×C₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆)⋊₁Q₈ = C₆×PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6):1Q8	432,757
(C₃²×C₆)⋊₂Q₈ = C₂×C₃³⋊Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6):2Q8	432,758
(C₃²×C₆)⋊₃Q₈ = C₆×C₃²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	48		(C3^2xC6):3Q8	432,657
(C₃²×C₆)⋊₄Q₈ = C₂×C₃³⋊₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	144		(C3^2xC6):4Q8	432,683
(C₃²×C₆)⋊₅Q₈ = C₂×C₃³⋊₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	48		(C3^2xC6):5Q8	432,695
(C₃²×C₆)⋊₆Q₈ = C₃×C₆×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6):6Q8	432,700
(C₃²×C₆)⋊₇Q₈ = C₆×C₃²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6):7Q8	432,710
(C₃²×C₆)⋊₈Q₈ = C₂×C₃³⋊₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	432		(C3^2xC6):8Q8	432,720

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆).₁Q₈ = C₃×C₂.PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6).1Q8	432,591
(C₃²×C₆).₂Q₈ = C₆.PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6).2Q8	432,592
(C₃²×C₆).₃Q₈ = C₆.₂PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6).3Q8	432,593
(C₃²×C₆).₄Q₈ = C₃×Dic₃⋊Dic₃	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	48		(C3^2xC6).4Q8	432,428
(C₃²×C₆).₅Q₈ = C₃×C₆².C₂²	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	48		(C3^2xC6).5Q8	432,429
(C₃²×C₆).₆Q₈ = C₆².₈₀D₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	144		(C3^2xC6).6Q8	432,452
(C₃²×C₆).₇Q₈ = C₆².₈₁D₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	144		(C3^2xC6).7Q8	432,453
(C₃²×C₆).₈Q₈ = C₆².₈₂D₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	144		(C3^2xC6).8Q8	432,454
(C₃²×C₆).₉Q₈ = C₆².₈₅D₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²×C₆	48		(C3^2xC6).9Q8	432,462
(C₃²×C₆).₁₀Q₈ = C₃²×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6).10Q8	432,472
(C₃²×C₆).₁₁Q₈ = C₃²×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6).11Q8	432,473
(C₃²×C₆).₁₂Q₈ = C₃×C₆.Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6).12Q8	432,488
(C₃²×C₆).₁₃Q₈ = C₃×C₁₂⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6).13Q8	432,489
(C₃²×C₆).₁₄Q₈ = C₆².₁₄₆D₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	432		(C3^2xC6).14Q8	432,504
(C₃²×C₆).₁₅Q₈ = C₆².₁₄₇D₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²×C₆	432		(C3^2xC6).15Q8	432,505
(C₃²×C₆).₁₆Q₈ = C₄⋊C₄×C₃³	central extension (φ=1)	432		(C3^2xC6).16Q8	432,514

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