Extensions 1→N→G→Q→1 with N=C₆xQ₈ and Q=C₂

Direct product G=NxQ with N=C₆xQ₈ and Q=C₂

		d	ρ	Label	ID
Q₈xC₂xC₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=C₆xQ₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xQ₈):₁C₂ = C₂xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):1C2	96,148
(C₆xQ₈):₂C₂ = Q₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8):2C2	96,149
(C₆xQ₈):₃C₂ = D₆:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):3C2	96,153
(C₆xQ₈):₄C₂ = C₁₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):4C2	96,154
(C₆xQ₈):₅C₂ = C₂xS₃xQ₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):5C2	96,212
(C₆xQ₈):₆C₂ = C₂xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):6C2	96,213
(C₆xQ₈):₇C₂ = Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8):7C2	96,214
(C₆xQ₈):₈C₂ = C₃xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):8C2	96,169
(C₆xQ₈):₉C₂ = C₃xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):9C2	96,171
(C₆xQ₈):₁₀C₂ = C₆xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48		(C6xQ8):10C2	96,180
(C₆xQ₈):₁₁C₂ = C₃xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8):11C2	96,184
(C₆xQ₈):₁₂C₂ = C₃x2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8):12C2	96,225
(C₆xQ₈):₁₃C₂ = C₆xC₄oD₄	φ: trivial image	48		(C6xQ8):13C2	96,223

Non-split extensions G=N.Q with N=C₆xQ₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xQ₈).₁C₂ = Q₈:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).1C2	96,42
(C₆xQ₈).₂C₂ = C₁₂.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8).2C2	96,43
(C₆xQ₈).₃C₂ = C₂xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).3C2	96,150
(C₆xQ₈).₄C₂ = Dic₃:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).4C2	96,151
(C₆xQ₈).₅C₂ = Q₈xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).5C2	96,152
(C₆xQ₈).₆C₂ = C₃xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8).6C2	96,51
(C₆xQ₈).₇C₂ = C₃xQ₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).7C2	96,53
(C₆xQ₈).₈C₂ = C₃xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).8C2	96,175
(C₆xQ₈).₉C₂ = C₆xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).9C2	96,181
(C₆xQ₈).₁₀C₂ = Q₈xC₁₂	φ: trivial image	96		(C6xQ8).10C2	96,166

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