Extensions 1→N→G→Q→1 with N=C₂²×D₉ and Q=C₆

Direct product G=N×Q with N=C₂²×D₉ and Q=C₆

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₂²×D₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₉)⋊₁C₆ = C₂×D₃₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₉	72		(C2^2xD9):1C6	432,354
(C₂²×D₉)⋊₂C₆ = D₄×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₉	36	12+	(C2^2xD9):2C6	432,362
(C₂²×D₉)⋊₃C₆ = C₂×Dic₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₉	72		(C2^2xD9):3C6	432,379
(C₂²×D₉)⋊₄C₆ = C₂×D₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₉	54	6+	(C2^2xD9):4C6	432,539
(C₂²×D₉)⋊₅C₆ = C₂×A₄×D₉	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₉	54	6+	(C2^2xD9):5C6	432,540
(C₂²×D₉)⋊₆C₆ = C₂³×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₉	72		(C2^2xD9):6C6	432,559
(C₂²×D₉)⋊₇C₆ = C₆×D₃₆	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9):7C6	432,343
(C₂²×D₉)⋊₈C₆ = C₃×D₄×D₉	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₉	72	4	(C2^2xD9):8C6	432,356
(C₂²×D₉)⋊₉C₆ = C₆×C₉⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₉	72		(C2^2xD9):9C6	432,374

Non-split extensions G=N.Q with N=C₂²×D₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₉).C₆ = D₁₈⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₉	72		(C2^2xD9).C6	432,147
(C₂²×D₉).₂C₆ = C₂×C₄×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₉	72		(C2^2xD9).2C6	432,353
(C₂²×D₉).₃C₆ = C₃×D₁₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9).3C6	432,134
(C₂²×D₉).₄C₆ = D₉×C₂×C₁₂	φ: trivial image	144		(C2^2xD9).4C6	432,342

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