Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=Dic₃

Direct product G=N×Q with N=C₂×C₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₆		48		Dic3xC2xC6	144,166

Semidirect products G=N:Q with N=C₂×C₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁Dic₃ = C₃×A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₆	36	3	(C2xC6):1Dic3	144,123
(C₂×C₆)⋊₂Dic₃ = C₆.₇S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₆	36	6-	(C2xC6):2Dic3	144,126
(C₂×C₆)⋊₃Dic₃ = C₃×C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6):3Dic3	144,84
(C₂×C₆)⋊₄Dic₃ = C₆²⋊₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6):4Dic3	144,100
(C₂×C₆)⋊₅Dic₃ = C₂²×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6):5Dic3	144,176

Non-split extensions G=N.Q with N=C₂×C₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).Dic₃ = C₆.S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₆	36	6-	(C2xC6).Dic3	144,33
(C₂×C₆).₂Dic₃ = C₃×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	24	2	(C2xC6).2Dic3	144,75
(C₂×C₆).₃Dic₃ = C₂×C₉⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).3Dic3	144,9
(C₂×C₆).₄Dic₃ = C₄.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	72	2	(C2xC6).4Dic3	144,10
(C₂×C₆).₅Dic₃ = C₁₈.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6).5Dic3	144,19
(C₂×C₆).₆Dic₃ = C₂²×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).6Dic3	144,45
(C₂×C₆).₇Dic₃ = C₂×C₃²⋊₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).7Dic3	144,90
(C₂×C₆).₈Dic₃ = C₁₂.₅₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6).8Dic3	144,91
(C₂×C₆).₉Dic₃ = C₆×C₃⋊C₈	central extension (φ=1)	48		(C2xC6).9Dic3	144,74

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