Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₃×C₆

Direct product G=N×Q with N=C₂×D₄ and Q=C₃×C₆

		d	ρ	Label	ID
D₄×C₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁(C₃×C₆) = C₃²×C₂²≀C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	72		(C2xD4):1(C3xC6)	288,817
(C₂×D₄)⋊₂(C₃×C₆) = C₃²×C₄⋊D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4):2(C3xC6)	288,818
(C₂×D₄)⋊₃(C₃×C₆) = C₃²×C₄⋊₁D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4):3(C3xC6)	288,824
(C₂×D₄)⋊₄(C₃×C₆) = D₈×C₃×C₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4):4(C3xC6)	288,829
(C₂×D₄)⋊₅(C₃×C₆) = C₃²×C₈⋊C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	72		(C2xD4):5(C3xC6)	288,833
(C₂×D₄)⋊₆(C₃×C₆) = C₃²×2₊¹⁺⁴	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	72		(C2xD4):6(C3xC6)	288,1022
(C₂×D₄)⋊₇(C₃×C₆) = C₄○D₄×C₃×C₆	φ: trivial image	144		(C2xD4):7(C3xC6)	288,1021

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁(C₃×C₆) = C₃²×C₂³⋊C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	72		(C2xD4).1(C3xC6)	288,317
(C₂×D₄).₂(C₃×C₆) = C₃²×C₄.D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	72		(C2xD4).2(C3xC6)	288,318
(C₂×D₄).₃(C₃×C₆) = C₃²×D₄⋊C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4).3(C3xC6)	288,320
(C₂×D₄).₄(C₃×C₆) = C₃²×C₂².D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4).4(C3xC6)	288,820
(C₂×D₄).₅(C₃×C₆) = C₃²×C₄.₄D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4).5(C3xC6)	288,821
(C₂×D₄).₆(C₃×C₆) = SD₁₆×C₃×C₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×D₄	144		(C2xD4).6(C3xC6)	288,830
(C₂×D₄).₇(C₃×C₆) = D₄×C₃×C₁₂	φ: trivial image	144		(C2xD4).7(C3xC6)	288,815

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