Extensions 1→N→G→Q→1 with N=C₂²×C₄ and Q=D₉

Direct product G=N×Q with N=C₂²×C₄ and Q=D₉

		d	ρ	Label	ID
C₂²×C₄×D₉		144		C2^2xC4xD9	288,353

Semidirect products G=N:Q with N=C₂²×C₄ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊₁D₉ = C₄×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₄	36	6	(C2^2xC4):1D9	288,333
(C₂²×C₄)⋊₂D₉ = C₂²⋊D₃₆	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₄	36	6+	(C2^2xC4):2D9	288,334
(C₂²×C₄)⋊₃D₉ = C₂×D₁₈⋊C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4):3D9	288,137
(C₂²×C₄)⋊₄D₉ = C₄×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4):4D9	288,138
(C₂²×C₄)⋊₅D₉ = C₂³.₂₈D₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4):5D9	288,139
(C₂²×C₄)⋊₆D₉ = C₃₆⋊₇D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4):6D9	288,140
(C₂²×C₄)⋊₇D₉ = C₂²×D₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4):7D9	288,354
(C₂²×C₄)⋊₈D₉ = C₂×D₃₆⋊₅C₂	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4):8D9	288,355

Non-split extensions G=N.Q with N=C₂²×C₄ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).₁D₉ = C₁₂.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₄	72	6	(C2^2xC4).1D9	288,68
(C₂²×C₄).₂D₉ = C₁₂.₁S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²×C₄	72	6-	(C2^2xC4).2D9	288,332
(C₂²×C₄).₃D₉ = C₃₆.₅₅D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4).3D9	288,37
(C₂²×C₄).₄D₉ = C₁₈.C₄²	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	288		(C2^2xC4).4D9	288,38
(C₂²×C₄).₅D₉ = C₂×Dic₉⋊C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	288		(C2^2xC4).5D9	288,133
(C₂²×C₄).₆D₉ = C₂×C₄.Dic₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4).6D9	288,131
(C₂²×C₄).₇D₉ = C₃₆.₄₉D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4).7D9	288,134
(C₂²×C₄).₈D₉ = C₂×C₄⋊Dic₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	288		(C2^2xC4).8D9	288,135
(C₂²×C₄).₉D₉ = C₂³.₂₆D₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	144		(C2^2xC4).9D9	288,136
(C₂²×C₄).₁₀D₉ = C₂²×Dic₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂²×C₄	288		(C2^2xC4).10D9	288,352
(C₂²×C₄).₁₁D₉ = C₂²×C₉⋊C₈	central extension (φ=1)	288		(C2^2xC4).11D9	288,130
(C₂²×C₄).₁₂D₉ = C₂×C₄×Dic₉	central extension (φ=1)	288		(C2^2xC4).12D9	288,132

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