Extensions 1→N→G→Q→1 with N=C₆.D₆ and Q=C₄

Direct product G=N×Q with N=C₆.D₆ and Q=C₄

		d	ρ	Label	ID
C₄×C₆.D₆		48		C4xC6.D6	288,530

Semidirect products G=N:Q with N=C₆.D₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆⋊C₄ = C₆².₂D₄	φ: C₄/C₁ → C₄ ⊆ Out C₆.D₆	24	4+	C6.D6:C4	288,386
C₆.D₆⋊₂C₄ = C₆².₆C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6:2C4	288,484
C₆.D₆⋊₃C₄ = C₆².₅₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6:3C4	288,531
C₆.D₆⋊₄C₄ = C₆².D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6:4C4	288,385

Non-split extensions G=N.Q with N=C₆.D₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆.C₄ = (C₃×C₁₂).D₄	φ: C₄/C₁ → C₄ ⊆ Out C₆.D₆	48	4	C6.D6.C4	288,376
C₆.D₆.₂C₄ = S₃×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6.2C4	288,438
C₆.D₆.₃C₄ = C₂₄⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6.3C4	288,439
C₆.D₆.₄C₄ = S₃²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.4C4	288,374
C₆.D₆.₅C₄ = S₃²×C₈	φ: trivial image	48	4	C6.D6.5C4	288,437

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