Extensions 1→N→G→Q→1 with N=D₄² and Q=C₂

Direct product G=N×Q with N=D₄² and Q=C₂

		d	ρ	Label	ID
C₂×D₄²		32		C2xD4^2	128,2194

Semidirect products G=N:Q with N=D₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄²⋊₁C₂ = D₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:1C2	128,351
D₄²⋊₂C₂ = D₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄²	8	4+	D4^2:2C2	128,928
D₄²⋊₃C₂ = D₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:3C2	128,1996
D₄²⋊₄C₂ = SD₁₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:4C2	128,1997
D₄²⋊₅C₂ = D₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:5C2	128,2004
D₄²⋊₆C₂ = SD₁₆⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:6C2	128,2006
D₄²⋊₇C₂ = D₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:7C2	128,2011
D₄²⋊₈C₂ = D₄⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:8C2	128,2026
D₄²⋊₉C₂ = C₄².₅₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:9C2	128,2050
D₄²⋊₁₀C₂ = C₄².₄₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:10C2	128,2057
D₄²⋊₁₁C₂ = C₂².₇₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	16		D4^2:11C2	128,2216
D₄²⋊₁₂C₂ = C₂².₇₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:12C2	128,2220
D₄²⋊₁₃C₂ = C₄⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:13C2	128,2228
D₄²⋊₁₄C₂ = C₂².₈₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:14C2	128,2230
D₄²⋊₁₅C₂ = C₂².₁₀₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:15C2	128,2245
D₄²⋊₁₆C₂ = C₂².₁₀₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:16C2	128,2246
D₄²⋊₁₇C₂ = C₂².₁₀₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:17C2	128,2251
D₄²⋊₁₈C₂ = C₄²⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄²	16		D4^2:18C2	128,2264
D₄²⋊₁₉C₂ = C₂².₁₂₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:19C2	128,2266
D₄²⋊₂₀C₂ = C₂².₁₂₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:20C2	128,2269
D₄²⋊₂₁C₂ = C₂².₁₃₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:21C2	128,2274
D₄²⋊₂₂C₂ = C₂².₁₃₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:22C2	128,2275
D₄²⋊₂₃C₂ = C₂².₁₃₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:23C2	128,2278
D₄²⋊₂₄C₂ = C₂².₁₃₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:24C2	128,2281
D₄²⋊₂₅C₂ = C₂².₁₄₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32		D4^2:25C2	128,2290
D₄²⋊₂₆C₂ = D₄×C₄○D₄	φ: trivial image	32		D4^2:26C2	128,2200
D₄²⋊₂₇C₂ = C₂².₇₀C₂⁵	φ: trivial image	32		D4^2:27C2	128,2213

Non-split extensions G=N.Q with N=D₄² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₄².₁C₂ = D₄⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32	D4^2.1C2	128,361
D₄².₂C₂ = D₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32	D4^2.2C2	128,371
D₄².₃C₂ = D₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32	D4^2.3C2	128,2013
D₄².₄C₂ = D₄⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32	D4^2.4C2	128,2027
D₄².₅C₂ = C₄².₄₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32	D4^2.5C2	128,2042
D₄².₆C₂ = C₄².₄₇₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄²	32	D4^2.6C2	128,2056

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Extensions 1→N→G→Q→1 with N=D42 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄² and Q=C₂