Extensions 1→N→G→Q→1 with N=C₆xD₄ and Q=C₂

Direct product G=NxQ with N=C₆xD₄ and Q=C₂

		d	ρ	Label	ID
D₄xC₂xC₆		48		D4xC2xC6	96,221

Semidirect products G=N:Q with N=C₆xD₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄):₁C₂ = C₂xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):1C2	96,138
(C₆xD₄):₂C₂ = D₁₂:₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4):2C2	96,139
(C₆xD₄):₃C₂ = D₆:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):3C2	96,145
(C₆xD₄):₄C₂ = C₁₂:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):4C2	96,147
(C₆xD₄):₅C₂ = C₂xS₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24		(C6xD4):5C2	96,209
(C₆xD₄):₆C₂ = C₂xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):6C2	96,210
(C₆xD₄):₇C₂ = D₄:₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4):7C2	96,211
(C₆xD₄):₈C₂ = C₂³:₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24		(C6xD4):8C2	96,144
(C₆xD₄):₉C₂ = C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):9C2	96,146
(C₆xD₄):₁₀C₂ = C₃xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24		(C6xD4):10C2	96,167
(C₆xD₄):₁₁C₂ = C₃xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):11C2	96,168
(C₆xD₄):₁₂C₂ = C₃xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):12C2	96,174
(C₆xD₄):₁₃C₂ = C₆xD₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):13C2	96,179
(C₆xD₄):₁₄C₂ = C₃xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4):14C2	96,183
(C₆xD₄):₁₅C₂ = C₃x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4):15C2	96,224
(C₆xD₄):₁₆C₂ = C₆xC₄oD₄	φ: trivial image	48		(C6xD4):16C2	96,223

Non-split extensions G=N.Q with N=C₆xD₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄).₁C₂ = D₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).1C2	96,39
(C₆xD₄).₂C₂ = C₁₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4).2C2	96,40
(C₆xD₄).₃C₂ = C₂xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).3C2	96,140
(C₆xD₄).₄C₂ = D₄xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).4C2	96,141
(C₆xD₄).₅C₂ = C₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).5C2	96,143
(C₆xD₄).₆C₂ = C₂³.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4).6C2	96,41
(C₆xD₄).₇C₂ = C₃xC₂³:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4).7C2	96,49
(C₆xD₄).₈C₂ = C₃xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	24	4	(C6xD4).8C2	96,50
(C₆xD₄).₉C₂ = C₃xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).9C2	96,52
(C₆xD₄).₁₀C₂ = C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).10C2	96,142
(C₆xD₄).₁₁C₂ = C₃xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).11C2	96,170
(C₆xD₄).₁₂C₂ = C₃xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).12C2	96,171
(C₆xD₄).₁₃C₂ = C₆xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).13C2	96,180
(C₆xD₄).₁₄C₂ = D₄xC₁₂	φ: trivial image	48		(C6xD4).14C2	96,165

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