Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₆

Direct product G=N×Q with N=C₃×D₄ and Q=C₆

		d	ρ	Label	ID
D₄×C₃×C₆		72		D4xC3xC6	144,179

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₆ = C₃×D₄⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	24	4	(C3xD4):1C6	144,80
(C₃×D₄)⋊₂C₆ = C₃×S₃×D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	24	4	(C3xD4):2C6	144,162
(C₃×D₄)⋊₃C₆ = C₃×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	24	4	(C3xD4):3C6	144,163
(C₃×D₄)⋊₄C₆ = C₃²×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	72		(C3xD4):4C6	144,106
(C₃×D₄)⋊₅C₆ = C₃²×C₄○D₄	φ: trivial image	72		(C3xD4):5C6	144,181

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁C₆ = C₃×D₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	24	4	(C3xD4).1C6	144,81
(C₃×D₄).₂C₆ = C₉×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	72	2	(C3xD4).2C6	144,25
(C₃×D₄).₃C₆ = C₉×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	72	2	(C3xD4).3C6	144,26
(C₃×D₄).₄C₆ = C₃²×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₄	72		(C3xD4).4C6	144,107
(C₃×D₄).₅C₆ = D₄×C₁₈	φ: trivial image	72		(C3xD4).5C6	144,48
(C₃×D₄).₆C₆ = C₉×C₄○D₄	φ: trivial image	72	2	(C3xD4).6C6	144,50

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