Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₈

Direct product G=N×Q with N=C₃²×C₆ and Q=C₈

		d	ρ	Label	ID
C₃×C₆×C₂₄		432		C3xC6xC24	432,515

Semidirect products G=N:Q with N=C₃²×C₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆)⋊₁C₈ = C₆×F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6):1C8	432,751
(C₃²×C₆)⋊₂C₈ = C₂×C₃⋊F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6):2C8	432,752
(C₃²×C₆)⋊₃C₈ = C₆×C₃²⋊₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃²×C₆	48		(C3^2xC6):3C8	432,632
(C₃²×C₆)⋊₄C₈ = C₂×C₃³⋊₄C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃²×C₆	48		(C3^2xC6):4C8	432,639
(C₃²×C₆)⋊₅C₈ = C₃×C₆×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6):5C8	432,469
(C₃²×C₆)⋊₆C₈ = C₆×C₃²⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6):6C8	432,485
(C₃²×C₆)⋊₇C₈ = C₂×C₃³⋊₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃²×C₆	432		(C3^2xC6):7C8	432,501

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆).₁C₈ = C₃×C₂.F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6).1C8	432,565
(C₃²×C₆).₂C₈ = C₆.F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃²×C₆	48	8	(C3^2xC6).2C8	432,566
(C₃²×C₆).₃C₈ = C₃×C₃²⋊₂C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₃²×C₆	48	4	(C3^2xC6).3C8	432,412
(C₃²×C₆).₄C₈ = C₃³⋊₄C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₃²×C₆	48	4	(C3^2xC6).4C8	432,413
(C₃²×C₆).₅C₈ = C₃²×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6).5C8	432,229
(C₃²×C₆).₆C₈ = C₃×C₂₄.S₃	φ: C₈/C₄ → C₂ ⊆ Aut C₃²×C₆	144		(C3^2xC6).6C8	432,230
(C₃²×C₆).₇C₈ = C₃³⋊₇C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃²×C₆	432		(C3^2xC6).7C8	432,231

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