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

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

		d	ρ	Label	ID
D₄×C₂×C₆		48		D4xC2xC6	96,221

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₄)⋊₁C₂ = C₂×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):1C2	96,138
(C₆×D₄)⋊₂C₂ = D₁₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4):2C2	96,139
(C₆×D₄)⋊₃C₂ = D₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):3C2	96,145
(C₆×D₄)⋊₄C₂ = C₁₂⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):4C2	96,147
(C₆×D₄)⋊₅C₂ = C₂×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24		(C6xD4):5C2	96,209
(C₆×D₄)⋊₆C₂ = C₂×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):6C2	96,210
(C₆×D₄)⋊₇C₂ = D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4):7C2	96,211
(C₆×D₄)⋊₈C₂ = C₂³⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24		(C6xD4):8C2	96,144
(C₆×D₄)⋊₉C₂ = C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):9C2	96,146
(C₆×D₄)⋊₁₀C₂ = C₃×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24		(C6xD4):10C2	96,167
(C₆×D₄)⋊₁₁C₂ = C₃×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):11C2	96,168
(C₆×D₄)⋊₁₂C₂ = C₃×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):12C2	96,174
(C₆×D₄)⋊₁₃C₂ = C₆×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4):13C2	96,179
(C₆×D₄)⋊₁₄C₂ = C₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4):14C2	96,183
(C₆×D₄)⋊₁₅C₂ = C₃×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4):15C2	96,224
(C₆×D₄)⋊₁₆C₂ = C₆×C₄○D₄	φ: trivial image	48		(C6xD4):16C2	96,223

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₄).₁C₂ = D₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).1C2	96,39
(C₆×D₄).₂C₂ = C₁₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4).2C2	96,40
(C₆×D₄).₃C₂ = C₂×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).3C2	96,140
(C₆×D₄).₄C₂ = D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).4C2	96,141
(C₆×D₄).₅C₂ = C₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).5C2	96,143
(C₆×D₄).₆C₂ = C₂³.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4).6C2	96,41
(C₆×D₄).₇C₂ = C₃×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4).7C2	96,49
(C₆×D₄).₈C₂ = C₃×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	24	4	(C6xD4).8C2	96,50
(C₆×D₄).₉C₂ = C₃×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).9C2	96,52
(C₆×D₄).₁₀C₂ = C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).10C2	96,142
(C₆×D₄).₁₁C₂ = C₃×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).11C2	96,170
(C₆×D₄).₁₂C₂ = C₃×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).12C2	96,171
(C₆×D₄).₁₃C₂ = C₆×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₄	48		(C6xD4).13C2	96,180
(C₆×D₄).₁₄C₂ = D₄×C₁₂	φ: trivial image	48		(C6xD4).14C2	96,165

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