Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=D₉

Direct product G=N×Q with N=C₂×C₈ and Q=D₉

		d	ρ	Label	ID
C₂×C₈×D₉		144		C2xC8xD9	288,110

Semidirect products G=N:Q with N=C₂×C₈ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁D₉ = D₁₈⋊C₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144		(C2xC8):1D9	288,27
(C₂×C₈)⋊₂D₉ = C₂.D₇₂	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144		(C2xC8):2D9	288,28
(C₂×C₈)⋊₃D₉ = C₂×D₇₂	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144		(C2xC8):3D9	288,114
(C₂×C₈)⋊₄D₉ = D₇₂⋊₇C₂	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144	2	(C2xC8):4D9	288,115
(C₂×C₈)⋊₅D₉ = C₂×C₇₂⋊C₂	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144		(C2xC8):5D9	288,113
(C₂×C₈)⋊₆D₉ = C₂×C₈⋊D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144		(C2xC8):6D9	288,111
(C₂×C₈)⋊₇D₉ = D₃₆.₂C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144	2	(C2xC8):7D9	288,112

Non-split extensions G=N.Q with N=C₂×C₈ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁D₉ = Dic₉⋊C₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	288		(C2xC8).1D9	288,22
(C₂×C₈).₂D₉ = C₃₆.₄₅D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	288		(C2xC8).2D9	288,24
(C₂×C₈).₃D₉ = C₇₂⋊₁C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	288		(C2xC8).3D9	288,26
(C₂×C₈).₄D₉ = C₂×Dic₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	288		(C2xC8).4D9	288,109
(C₂×C₈).₅D₉ = C₇₂.C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144	2	(C2xC8).5D9	288,20
(C₂×C₈).₆D₉ = C₈⋊Dic₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	288		(C2xC8).6D9	288,25
(C₂×C₈).₇D₉ = C₃₆.C₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	144	2	(C2xC8).7D9	288,19
(C₂×C₈).₈D₉ = C₇₂⋊C₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₈	288		(C2xC8).8D9	288,23
(C₂×C₈).₉D₉ = C₂×C₉⋊C₁₆	central extension (φ=1)	288		(C2xC8).9D9	288,18
(C₂×C₈).₁₀D₉ = C₈×Dic₉	central extension (φ=1)	288		(C2xC8).10D9	288,21

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