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

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

		d	ρ	Label	ID
C₄×S₃×Dic₃		96		C4xS3xDic3	288,523

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₄×S₃) = C₆².₅₁C₂³	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out Dic₃	48		Dic3:1(C4xS3)	288,529
Dic₃⋊₂(C₄×S₃) = C₆².₇₄C₂³	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out Dic₃	48		Dic3:2(C4xS3)	288,552
Dic₃⋊₃(C₄×S₃) = Dic₃⋊₄D₁₂	φ: C₄×S₃/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3:3(C4xS3)	288,528
Dic₃⋊₄(C₄×S₃) = C₄×C₃⋊D₁₂	φ: C₄×S₃/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3:4(C4xS3)	288,551
Dic₃⋊₅(C₄×S₃) = S₃×Dic₃⋊C₄	φ: C₄×S₃/D₆ → C₂ ⊆ Out Dic₃	96		Dic3:5(C4xS3)	288,524
Dic₃⋊₆(C₄×S₃) = C₆².₅₃C₂³	φ: C₄×S₃/D₆ → C₂ ⊆ Out Dic₃	48		Dic3:6(C4xS3)	288,531
Dic₃⋊₇(C₄×S₃) = C₄×C₆.D₆	φ: trivial image	48		Dic3:7(C4xS3)	288,530

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₄×S₃) = C₂₄.₆₄D₆	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out Dic₃	48	4	Dic3.1(C4xS3)	288,452
Dic₃.₂(C₄×S₃) = C₂₄.D₆	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out Dic₃	48	4	Dic3.2(C4xS3)	288,453
Dic₃.₃(C₄×S₃) = Dic₃⋊₅Dic₆	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3.3(C4xS3)	288,485
Dic₃.₄(C₄×S₃) = C₆².₈C₂³	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3.4(C4xS3)	288,486
Dic₃.₅(C₄×S₃) = C₂₄.₆₃D₆	φ: C₄×S₃/C₁₂ → C₂ ⊆ Out Dic₃	48	4	Dic3.5(C4xS3)	288,451
Dic₃.₆(C₄×S₃) = C₄×C₃²⋊₂Q₈	φ: C₄×S₃/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3.6(C4xS3)	288,565
Dic₃.₇(C₄×S₃) = S₃×C₈⋊S₃	φ: C₄×S₃/D₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.7(C4xS3)	288,438
Dic₃.₈(C₄×S₃) = C₂₄⋊D₆	φ: C₄×S₃/D₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.8(C4xS3)	288,439
Dic₃.₉(C₄×S₃) = C₆².₆C₂³	φ: C₄×S₃/D₆ → C₂ ⊆ Out Dic₃	48		Dic3.9(C4xS3)	288,484
Dic₃.₁₀(C₄×S₃) = C₆².₄₈C₂³	φ: C₄×S₃/D₆ → C₂ ⊆ Out Dic₃	96		Dic3.10(C4xS3)	288,526
Dic₃.₁₁(C₄×S₃) = S₃²×C₈	φ: trivial image	48	4	Dic3.11(C4xS3)	288,437
Dic₃.₁₂(C₄×S₃) = C₆².₄₇C₂³	φ: trivial image	96		Dic3.12(C4xS3)	288,525

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