Extensions 1→N→G→Q→1 with N=C₁₂×D₉ and Q=C₂

Direct product G=N×Q with N=C₁₂×D₉ and Q=C₂

		d	ρ	Label	ID
D₉×C₂×C₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=C₁₂×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×D₉)⋊₁C₂ = Dic₆⋊₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	4+	(C12xD9):1C2	432,282
(C₁₂×D₉)⋊₂C₂ = D₁₂⋊₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	4-	(C12xD9):2C2	432,285
(C₁₂×D₉)⋊₃C₂ = D₉×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	4+	(C12xD9):3C2	432,292
(C₁₂×D₉)⋊₄C₂ = C₃×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	4	(C12xD9):4C2	432,356
(C₁₂×D₉)⋊₅C₂ = C₃×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	4	(C12xD9):5C2	432,357
(C₁₂×D₉)⋊₆C₂ = C₃×Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	4	(C12xD9):6C2	432,365
(C₁₂×D₉)⋊₇C₂ = D₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	4	(C12xD9):7C2	432,287
(C₁₂×D₉)⋊₈C₂ = C₄×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	4	(C12xD9):8C2	432,290
(C₁₂×D₉)⋊₉C₂ = C₃×D₃₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	72	2	(C12xD9):9C2	432,344

Non-split extensions G=N.Q with N=C₁₂×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×D₉).₁C₂ = D₉×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	4-	(C12xD9).1C2	432,280
(C₁₂×D₉).₂C₂ = C₃×Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	4	(C12xD9).2C2	432,364
(C₁₂×D₉).₃C₂ = D₉×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	4	(C12xD9).3C2	432,58
(C₁₂×D₉).₄C₂ = C₃₆.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	4	(C12xD9).4C2	432,60
(C₁₂×D₉).₅C₂ = C₃×C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₉	144	2	(C12xD9).5C2	432,106
(C₁₂×D₉).₆C₂ = D₉×C₂₄	φ: trivial image	144	2	(C12xD9).6C2	432,105

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