Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=D₉

Direct product G=N×Q with N=C₂×C₆ and Q=D₉

		d	ρ	Label	ID
C₂×C₆×D₉		72		C2xC6xD9	216,108

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₉ = C₃×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂×C₆	36	6	(C2xC6):1D9	216,91
(C₂×C₆)⋊₂D₉ = C₃².₃S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂×C₆	54		(C2xC6):2D9	216,94
(C₂×C₆)⋊₃D₉ = C₃×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	36	2	(C2xC6):3D9	216,57
(C₂×C₆)⋊₄D₉ = C₆.D₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	108		(C2xC6):4D9	216,70
(C₂×C₆)⋊₅D₉ = C₂²×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	108		(C2xC6):5D9	216,112

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₉ = C₉.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂×C₆	54	6+	(C2xC6).D9	216,21
(C₂×C₆).₂D₉ = C₂×Dic₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6).2D9	216,7
(C₂×C₆).₃D₉ = C₂₇⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	108	2	(C2xC6).3D9	216,8
(C₂×C₆).₄D₉ = C₂²×D₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	108		(C2xC6).4D9	216,23
(C₂×C₆).₅D₉ = C₂×C₉⋊Dic₃	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6).5D9	216,69
(C₂×C₆).₆D₉ = C₆×Dic₉	central extension (φ=1)	72		(C2xC6).6D9	216,55

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