Extensions 1→N→G→Q→1 with N=D₄×Q₈ and Q=C₂

Direct product G=N×Q with N=D₄×Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×Q₈		64		C2xD4xQ8	128,2198

Semidirect products G=N:Q with N=D₄×Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×Q₈)⋊₁C₂ = Q₈⋊₃D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):1C2	128,359
(D₄×Q₈)⋊₂C₂ = SD₁₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):2C2	128,1998
(D₄×Q₈)⋊₃C₂ = Q₁₆⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):3C2	128,2002
(D₄×Q₈)⋊₄C₂ = SD₁₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):4C2	128,2008
(D₄×Q₈)⋊₅C₂ = Q₁₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):5C2	128,2010
(D₄×Q₈)⋊₆C₂ = D₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):6C2	128,2013
(D₄×Q₈)⋊₇C₂ = D₄⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):7C2	128,2030
(D₄×Q₈)⋊₈C₂ = C₄².₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):8C2	128,2052
(D₄×Q₈)⋊₉C₂ = C₄².₄₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):9C2	128,2061
(D₄×Q₈)⋊₁₀C₂ = Q₈⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):10C2	128,2090
(D₄×Q₈)⋊₁₁C₂ = C₄².₅₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):11C2	128,2099
(D₄×Q₈)⋊₁₂C₂ = C₄².₅₁₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):12C2	128,2105
(D₄×Q₈)⋊₁₃C₂ = Q₈×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):13C2	128,2110
(D₄×Q₈)⋊₁₄C₂ = D₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):14C2	128,2116
(D₄×Q₈)⋊₁₅C₂ = C₂².₇₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):15C2	128,2218
(D₄×Q₈)⋊₁₆C₂ = C₂².₇₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):16C2	128,2221
(D₄×Q₈)⋊₁₇C₂ = C₄⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):17C2	128,2229
(D₄×Q₈)⋊₁₈C₂ = C₂².₈₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):18C2	128,2231
(D₄×Q₈)⋊₁₉C₂ = C₂².₉₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):19C2	128,2233
(D₄×Q₈)⋊₂₀C₂ = C₂².₉₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):20C2	128,2235
(D₄×Q₈)⋊₂₁C₂ = C₂².₁₀₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):21C2	128,2246
(D₄×Q₈)⋊₂₂C₂ = C₂².₁₀₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):22C2	128,2248
(D₄×Q₈)⋊₂₃C₂ = C₂².₁₀₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):23C2	128,2250
(D₄×Q₈)⋊₂₄C₂ = C₂³.₁₄₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):24C2	128,2252
(D₄×Q₈)⋊₂₅C₂ = C₂³.₁₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):25C2	128,2255
(D₄×Q₈)⋊₂₆C₂ = C₂².₁₂₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):26C2	128,2270
(D₄×Q₈)⋊₂₇C₂ = C₂².₁₃₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):27C2	128,2273
(D₄×Q₈)⋊₂₈C₂ = C₂².₁₃₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):28C2	128,2279
(D₄×Q₈)⋊₂₉C₂ = C₂².₁₃₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):29C2	128,2282
(D₄×Q₈)⋊₃₀C₂ = C₂².₁₄₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):30C2	128,2284
(D₄×Q₈)⋊₃₁C₂ = C₂².₁₄₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8):31C2	128,2286
(D₄×Q₈)⋊₃₂C₂ = C₂².₁₅₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	32	(D4xQ8):32C2	128,2293
(D₄×Q₈)⋊₃₃C₂ = D₄×C₄○D₄	φ: trivial image	32	(D4xQ8):33C2	128,2200
(D₄×Q₈)⋊₃₄C₂ = Q₈×C₄○D₄	φ: trivial image	64	(D4xQ8):34C2	128,2210
(D₄×Q₈)⋊₃₅C₂ = C₂².₇₁C₂⁵	φ: trivial image	64	(D4xQ8):35C2	128,2214

Non-split extensions G=N.Q with N=D₄×Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×Q₈).₁C₂ = D₄.₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).1C2	128,369
(D₄×Q₈).₂C₂ = D₄⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).2C2	128,381
(D₄×Q₈).₃C₂ = Q₈⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).3C2	128,383
(D₄×Q₈).₄C₂ = D₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).4C2	128,2018
(D₄×Q₈).₅C₂ = D₄⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).5C2	128,2031
(D₄×Q₈).₆C₂ = C₄².₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).6C2	128,2044
(D₄×Q₈).₇C₂ = C₄².₄₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).7C2	128,2060
(D₄×Q₈).₈C₂ = Q₈⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).8C2	128,2091
(D₄×Q₈).₉C₂ = Q₈×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).9C2	128,2111
(D₄×Q₈).₁₀C₂ = SD₁₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×Q₈	64	(D4xQ8).10C2	128,2118

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Extensions 1→N→G→Q→1 with N=D4×Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄×Q₈ and Q=C₂