Extensions 1→N→G→Q→1 with N=C₂³×D₉ and Q=C₂

Direct product G=N×Q with N=C₂³×D₉ and Q=C₂

		d	ρ	Label	ID
C₂⁴×D₉		144		C2^4xD9	288,839

Semidirect products G=N:Q with N=C₂³×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₉)⋊₁C₂ = C₂²⋊₃D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	72		(C2^3xD9):1C2	288,92
(C₂³×D₉)⋊₂C₂ = C₂³⋊₂D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	72		(C2^3xD9):2C2	288,147
(C₂³×D₉)⋊₃C₂ = C₂²×D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	144		(C2^3xD9):3C2	288,354
(C₂³×D₉)⋊₄C₂ = C₂×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	72		(C2^3xD9):4C2	288,356
(C₂³×D₉)⋊₅C₂ = C₂²×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	144		(C2^3xD9):5C2	288,366

Non-split extensions G=N.Q with N=C₂³×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₉).₁C₂ = C₂²⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	72		(C2^3xD9).1C2	288,90
(C₂³×D₉).₂C₂ = C₂×D₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₉	144		(C2^3xD9).2C2	288,137
(C₂³×D₉).₃C₂ = C₂²×C₄×D₉	φ: trivial image	144		(C2^3xD9).3C2	288,353

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