Extensions 1→N→G→Q→1 with N=Dic₆⋊S₃ and Q=C₂

Direct product G=N×Q with N=Dic₆⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₆⋊S₃		96		C2xDic6:S3	288,474

Semidirect products G=N:Q with N=Dic₆⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊S₃⋊₁C₂ = C₂₄⋊₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	4	Dic6:S3:1C2	288,444
Dic₆⋊S₃⋊₂C₂ = C₂₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	4	Dic6:S3:2C2	288,446
Dic₆⋊S₃⋊₃C₂ = D₂₄⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	4	Dic6:S3:3C2	288,458
Dic₆⋊S₃⋊₄C₂ = D₁₂.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	4	Dic6:S3:4C2	288,459
Dic₆⋊S₃⋊₅C₂ = D₁₂⋊₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	4	Dic6:S3:5C2	288,471
Dic₆⋊S₃⋊₆C₂ = D₁₂.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	4	Dic6:S3:6C2	288,475
Dic₆⋊S₃⋊₇C₂ = Dic₆⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	8+	Dic6:S3:7C2	288,573
Dic₆⋊S₃⋊₈C₂ = S₃×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	8-	Dic6:S3:8C2	288,576
Dic₆⋊S₃⋊₉C₂ = D₁₂.₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	8-	Dic6:S3:9C2	288,581
Dic₆⋊S₃⋊₁₀C₂ = D₁₂.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	8+	Dic6:S3:10C2	288,582
Dic₆⋊S₃⋊₁₁C₂ = S₃×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	8+	Dic6:S3:11C2	288,586
Dic₆⋊S₃⋊₁₂C₂ = D₁₂.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	96	8-	Dic6:S3:12C2	288,591
Dic₆⋊S₃⋊₁₃C₂ = D₁₂.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	96	8-	Dic6:S3:13C2	288,594
Dic₆⋊S₃⋊₁₄C₂ = D₁₂.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆⋊S₃	48	8+	Dic6:S3:14C2	288,597
Dic₆⋊S₃⋊₁₅C₂ = D₁₂.₃₀D₆	φ: trivial image	48	4	Dic6:S3:15C2	288,470

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