Extensions 1→N→G→Q→1 with N=C₄×D₉ and Q=C₂

Direct product G=N×Q with N=C₄×D₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₉		72		C2xC4xD9	144,38

Semidirect products G=N:Q with N=C₄×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉)⋊₁C₂ = D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₉	36	4+	(C4xD9):1C2	144,41
(C₄×D₉)⋊₂C₂ = D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₉	72	4-	(C4xD9):2C2	144,42
(C₄×D₉)⋊₃C₂ = Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₉	72	4+	(C4xD9):3C2	144,44
(C₄×D₉)⋊₄C₂ = D₃₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₉	72	2	(C4xD9):4C2	144,40

Non-split extensions G=N.Q with N=C₄×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉).₁C₂ = Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₉	72	4-	(C4xD9).1C2	144,43
(C₄×D₉).₂C₂ = C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₉	72	2	(C4xD9).2C2	144,6
(C₄×D₉).₃C₂ = C₈×D₉	φ: trivial image	72	2	(C4xD9).3C2	144,5

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