Extensions 1→N→G→Q→1 with N=Dic₃⋊C₄ and Q=C₆

Direct product G=N×Q with N=Dic₃⋊C₄ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₃⋊C₄		96		C6xDic3:C4	288,694

Semidirect products G=N:Q with N=Dic₃⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₄⋊₁C₆ = C₃×C₄²⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4:1C6	288,647
Dic₃⋊C₄⋊₂C₆ = C₃×C₁₂.₄₈D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:2C6	288,695
Dic₃⋊C₄⋊₃C₆ = C₃×C₂³.₂₈D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:3C6	288,700
Dic₃⋊C₄⋊₄C₆ = C₃×Dic₃.D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:4C6	288,649
Dic₃⋊C₄⋊₅C₆ = C₃×Dic₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:5C6	288,655
Dic₃⋊C₄⋊₆C₆ = C₃×D₆.D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4:6C6	288,665
Dic₃⋊C₄⋊₇C₆ = C₃×C₂³.₁₆D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:7C6	288,648
Dic₃⋊C₄⋊₈C₆ = C₃×C₂³.₈D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:8C6	288,650
Dic₃⋊C₄⋊₉C₆ = C₃×Dic₃⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:9C6	288,652
Dic₃⋊C₄⋊₁₀C₆ = C₃×C₂³.₉D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:10C6	288,654
Dic₃⋊C₄⋊₁₁C₆ = C₃×S₃×C₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4:11C6	288,662
Dic₃⋊C₄⋊₁₂C₆ = C₃×D₆⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4:12C6	288,667
Dic₃⋊C₄⋊₁₃C₆ = C₃×C₄⋊C₄⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4:13C6	288,669
Dic₃⋊C₄⋊₁₄C₆ = C₃×C₂³.₂₃D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:14C6	288,706
Dic₃⋊C₄⋊₁₅C₆ = C₃×C₂³.₁₄D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48		Dic3:C4:15C6	288,710
Dic₃⋊C₄⋊₁₆C₆ = C₃×D₆⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4:16C6	288,717
Dic₃⋊C₄⋊₁₇C₆ = C₃×C₄²⋊₂S₃	φ: trivial image	96		Dic3:C4:17C6	288,643
Dic₃⋊C₄⋊₁₈C₆ = C₁₂×C₃⋊D₄	φ: trivial image	48		Dic3:C4:18C6	288,699

Non-split extensions G=N.Q with N=Dic₃⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₄.₁C₆ = C₃×C₁₂.₆Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4.1C6	288,641
Dic₃⋊C₄.₂C₆ = C₃×C₁₂⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4.2C6	288,659
Dic₃⋊C₄.₃C₆ = C₃×C₄.Dic₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4.3C6	288,661
Dic₃⋊C₄.₄C₆ = C₃×Dic₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4.4C6	288,658
Dic₃⋊C₄.₅C₆ = C₃×Dic₃.Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4.5C6	288,660
Dic₃⋊C₄.₆C₆ = C₃×Dic₃⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96		Dic3:C4.6C6	288,715
Dic₃⋊C₄.₇C₆ = C₁₂×Dic₆	φ: trivial image	96		Dic3:C4.7C6	288,639

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