Extensions 1→N→G→Q→1 with N=Dic₃⋊C₄ and Q=S₃

Direct product G=N×Q with N=Dic₃⋊C₄ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₃⋊C₄		96		S3xDic3:C4	288,524

Semidirect products G=N:Q with N=Dic₃⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊C₄⋊₁S₃ = C₆².₂₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:1S3	288,498
Dic₃⋊C₄⋊₂S₃ = D₆⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:2S3	288,499
Dic₃⋊C₄⋊₃S₃ = C₆².₃₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:3S3	288,516
Dic₃⋊C₄⋊₄S₃ = C₆².₃₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:4S3	288,509
Dic₃⋊C₄⋊₅S₃ = D₆⋊₂Dic₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:5S3	288,541
Dic₃⋊C₄⋊₆S₃ = D₆⋊₃Dic₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:6S3	288,544
Dic₃⋊C₄⋊₇S₃ = C₆².₆₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:7S3	288,545
Dic₃⋊C₄⋊₈S₃ = Dic₃⋊₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:8S3	288,558
Dic₃⋊C₄⋊₉S₃ = C₆².₂₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:9S3	288,501
Dic₃⋊C₄⋊₁₀S₃ = C₆².₃₂C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:10S3	288,510
Dic₃⋊C₄⋊₁₁S₃ = C₆².₃₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:11S3	288,513
Dic₃⋊C₄⋊₁₂S₃ = C₆².₄₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:12S3	288,526
Dic₃⋊C₄⋊₁₃S₃ = C₆².₅₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:13S3	288,529
Dic₃⋊C₄⋊₁₄S₃ = C₆².₅₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:14S3	288,531
Dic₃⋊C₄⋊₁₅S₃ = C₆².₁₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:15S3	288,496
Dic₃⋊C₄⋊₁₆S₃ = C₆².₅₄C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4:16S3	288,532
Dic₃⋊C₄⋊₁₇S₃ = Dic₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:17S3	288,534
Dic₃⋊C₄⋊₁₈S₃ = C₆².₅₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:18S3	288,536
Dic₃⋊C₄⋊₁₉S₃ = C₆².₆₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	48	Dic3:C4:19S3	288,543
Dic₃⋊C₄⋊₂₀S₃ = C₆².₆C₂³	φ: trivial image	48	Dic3:C4:20S3	288,484
Dic₃⋊C₄⋊₂₁S₃ = C₆².₇₄C₂³	φ: trivial image	48	Dic3:C4:21S3	288,552

Non-split extensions G=N.Q with N=Dic₃⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊C₄.₁S₃ = C₆².₃₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.1S3	288,515
Dic₃⋊C₄.₂S₃ = C₆².₁₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.2S3	288,488
Dic₃⋊C₄.₃S₃ = Dic₃.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.3S3	288,493
Dic₃⋊C₄.₄S₃ = C₆².₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.4S3	288,486
Dic₃⋊C₄.₅S₃ = C₆².₄₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.5S3	288,518
Dic₃⋊C₄.₆S₃ = C₆².₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.6S3	288,487
Dic₃⋊C₄.₇S₃ = C₆².₁₆C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.7S3	288,494
Dic₃⋊C₄.₈S₃ = C₆².₁₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.8S3	288,495
Dic₃⋊C₄.₉S₃ = Dic₃⋊₅Dic₆	φ: trivial image	96	Dic3:C4.9S3	288,485

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Extensions 1→N→G→Q→1 with N=Dic3⋊C4 and Q=S3

Extensions 1→N→G→Q→1 with N=Dic₃⋊C₄ and Q=S₃