Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=Dic₉

Direct product G=N×Q with N=C₂×C₆ and Q=Dic₉

		d	ρ	Label	ID
C₂×C₆×Dic₉		144		C2xC6xDic9	432,372

Semidirect products G=N:Q with N=C₂×C₆ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁Dic₉ = C₃×C₆.S₄	φ: Dic₉/C₆ → S₃ ⊆ Aut C₂×C₆	36	6	(C2xC6):1Dic9	432,250
(C₂×C₆)⋊₂Dic₉ = C₆².₁₀Dic₃	φ: Dic₉/C₆ → S₃ ⊆ Aut C₂×C₆	108		(C2xC6):2Dic9	432,259
(C₂×C₆)⋊₃Dic₉ = C₃×C₁₈.D₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6):3Dic9	432,164
(C₂×C₆)⋊₄Dic₉ = C₆².₁₂₇D₆	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6):4Dic9	432,198
(C₂×C₆)⋊₅Dic₉ = C₂²×C₉⋊Dic₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	432		(C2xC6):5Dic9	432,396

Non-split extensions G=N.Q with N=C₂×C₆ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).Dic₉ = C₁₈.S₄	φ: Dic₉/C₆ → S₃ ⊆ Aut C₂×C₆	108	6-	(C2xC6).Dic9	432,39
(C₂×C₆).₂Dic₉ = C₃×C₄.Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	72	2	(C2xC6).2Dic9	432,125
(C₂×C₆).₃Dic₉ = C₂×C₂₇⋊C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	432		(C2xC6).3Dic9	432,9
(C₂×C₆).₄Dic₉ = C₄.Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	216	2	(C2xC6).4Dic9	432,10
(C₂×C₆).₅Dic₉ = C₅₄.D₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6).5Dic9	432,19
(C₂×C₆).₆Dic₉ = C₂²×Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	432		(C2xC6).6Dic9	432,51
(C₂×C₆).₇Dic₉ = C₂×C₃₆.S₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	432		(C2xC6).7Dic9	432,178
(C₂×C₆).₈Dic₉ = C₃₆.₆₉D₆	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6).8Dic9	432,179
(C₂×C₆).₉Dic₉ = C₆×C₉⋊C₈	central extension (φ=1)	144		(C2xC6).9Dic9	432,124

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