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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊₁D₉ = C₆×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₆	36	6	(C2^2xC6):1D9	432,534
(C₂²×C₆)⋊₂D₉ = C₂×C₃².₃S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₆	54		(C2^2xC6):2D9	432,537
(C₂²×C₆)⋊₃D₉ = C₆×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6):3D9	432,374
(C₂²×C₆)⋊₄D₉ = C₂×C₆.D₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6):4D9	432,397
(C₂²×C₆)⋊₅D₉ = C₂³×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6):5D9	432,560

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).₁D₉ = C₃×C₆.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₆	36	6	(C2^2xC6).1D9	432,250
(C₂²×C₆).₂D₉ = C₁₈.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₆	108	6-	(C2^2xC6).2D9	432,39
(C₂²×C₆).₃D₉ = C₂×C₉.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₆	54	6+	(C2^2xC6).3D9	432,224
(C₂²×C₆).₄D₉ = C₆².₁₀Dic₃	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₆	108		(C2^2xC6).4D9	432,259
(C₂²×C₆).₅D₉ = C₃×C₁₈.D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6).5D9	432,164
(C₂²×C₆).₆D₉ = C₅₄.D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).6D9	432,19
(C₂²×C₆).₇D₉ = C₂²×Dic₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	432		(C2^2xC6).7D9	432,51
(C₂²×C₆).₈D₉ = C₂×C₂₇⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).8D9	432,52
(C₂²×C₆).₉D₉ = C₆².₁₂₇D₆	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).9D9	432,198
(C₂²×C₆).₁₀D₉ = C₂³×D₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).10D9	432,227
(C₂²×C₆).₁₁D₉ = C₂²×C₉⋊Dic₃	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₆	432		(C2^2xC6).11D9	432,396
(C₂²×C₆).₁₂D₉ = C₂×C₆×Dic₉	central extension (φ=1)	144		(C2^2xC6).12D9	432,372

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