Extensions 1→N→G→Q→1 with N=C₄×Q₈ and Q=C₂

Direct product G=N×Q with N=C₄×Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Q₈		64		C2xC4xQ8	64,197

Semidirect products G=N:Q with N=C₄×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Q₈)⋊₁C₂ = C₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):1C2	64,119
(C₄×Q₈)⋊₂C₂ = SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):2C2	64,121
(C₄×Q₈)⋊₃C₂ = C₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):3C2	64,141
(C₄×Q₈)⋊₄C₂ = Q₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):4C2	64,145
(C₄×Q₈)⋊₅C₂ = C₂³.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):5C2	64,200
(C₄×Q₈)⋊₆C₂ = C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):6C2	64,201
(C₄×Q₈)⋊₇C₂ = C₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):7C2	64,210
(C₄×Q₈)⋊₈C₂ = C₂³.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):8C2	64,214
(C₄×Q₈)⋊₉C₂ = C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):9C2	64,222
(C₄×Q₈)⋊₁₀C₂ = C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):10C2	64,223
(C₄×Q₈)⋊₁₁C₂ = Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):11C2	64,229
(C₄×Q₈)⋊₁₂C₂ = D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):12C2	64,230
(C₄×Q₈)⋊₁₃C₂ = Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):13C2	64,231
(C₄×Q₈)⋊₁₄C₂ = C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):14C2	64,233
(C₄×Q₈)⋊₁₅C₂ = D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):15C2	64,235
(C₄×Q₈)⋊₁₆C₂ = C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):16C2	64,237
(C₄×Q₈)⋊₁₇C₂ = C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	32		(C4xQ8):17C2	64,240
(C₄×Q₈)⋊₁₈C₂ = C₄×C₄○D₄	φ: trivial image	32		(C4xQ8):18C2	64,198

Non-split extensions G=N.Q with N=C₄×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Q₈).₁C₂ = Q₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).1C2	64,7
(C₄×Q₈).₂C₂ = C₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).2C2	64,120
(C₄×Q₈).₃C₂ = Q₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).3C2	64,122
(C₄×Q₈).₄C₂ = C₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).4C2	64,127
(C₄×Q₈).₅C₂ = C₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).5C2	64,143
(C₄×Q₈).₆C₂ = Q₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).6C2	64,156
(C₄×Q₈).₇C₂ = C₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).7C2	64,158
(C₄×Q₈).₈C₂ = Q₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).8C2	64,160
(C₄×Q₈).₉C₂ = Q₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).9C2	64,238
(C₄×Q₈).₁₀C₂ = Q₈²	φ: C₂/C₁ → C₂ ⊆ Out C₄×Q₈	64		(C4xQ8).10C2	64,239
(C₄×Q₈).₁₁C₂ = C₈×Q₈	φ: trivial image	64		(C4xQ8).11C2	64,126

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