Extensions 1→N→G→Q→1 with N=D₆:S₃ and Q=C₄

Direct product G=NxQ with N=D₆:S₃ and Q=C₄

		d	ρ	Label	ID
C₄xD₆:S₃		96		C4xD6:S3	288,549

Semidirect products G=N:Q with N=D₆:S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:S₃:₁C₄ = C₃:S₃.₂D₈	φ: C₄/C₁ → C₄ ⊆ Out D₆:S₃	24	4	D6:S3:1C4	288,377
D₆:S₃:₂C₄ = Dic₃wrC₂	φ: C₄/C₁ → C₄ ⊆ Out D₆:S₃	24	4-	D6:S3:2C4	288,389
D₆:S₃:₃C₄ = C₃²:C₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out D₆:S₃	48	4	D6:S3:3C4	288,379
D₆:S₃:₄C₄ = C₆².₃D₄	φ: C₄/C₂ → C₂ ⊆ Out D₆:S₃	48		D6:S3:4C4	288,387
D₆:S₃:₅C₄ = C₆².₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₆:S₃	96		D6:S3:5C4	288,527
D₆:S₃:₆C₄ = C₆².₇₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₆:S₃	96		D6:S3:6C4	288,550

Non-split extensions G=N.Q with N=D₆:S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:S₃.₁C₄ = C₂₄.₆₄D₆	φ: C₄/C₂ → C₂ ⊆ Out D₆:S₃	48	4	D6:S3.1C4	288,452
D₆:S₃.₂C₄ = C₂₄.D₆	φ: C₄/C₂ → C₂ ⊆ Out D₆:S₃	48	4	D6:S3.2C4	288,453
D₆:S₃.₃C₄ = C₂₄.₆₃D₆	φ: trivial image	48	4	D6:S3.3C4	288,451

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