Extensions 1→N→G→Q→1 with N=C₂³.₃₂C₂³ and Q=C₂

Direct product G=N×Q with N=C₂³.₃₂C₂³ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₃₂C₂³		64		C2xC2^3.32C2^3	128,2158

Semidirect products G=N:Q with N=C₂³.₃₂C₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₃₂C₂³⋊₁C₂ = C₄.₄D₄⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:1C2	128,620
C₂³.₃₂C₂³⋊₂C₂ = C₄².₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32	8-	C2^3.32C2^3:2C2	128,637
C₂³.₃₂C₂³⋊₃C₂ = C₄².₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32	8-	C2^3.32C2^3:3C2	128,644
C₂³.₃₂C₂³⋊₄C₂ = C₂³.₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32	8-	C2^3.32C2^3:4C2	128,1616
C₂³.₃₂C₂³⋊₅C₂ = C₄².₂₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:5C2	128,1679
C₂³.₃₂C₂³⋊₆C₂ = C₄².₂₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:6C2	128,1681
C₂³.₃₂C₂³⋊₇C₂ = C₄².₁₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:7C2	128,1775
C₂³.₃₂C₂³⋊₈C₂ = C₄².₁₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:8C2	128,1776
C₂³.₃₂C₂³⋊₉C₂ = C₄².₃₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:9C2	128,1853
C₂³.₃₂C₂³⋊₁₀C₂ = C₄².₃₆₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:10C2	128,1858
C₂³.₃₂C₂³⋊₁₁C₂ = C₂².₇₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:11C2	128,2218
C₂³.₃₂C₂³⋊₁₂C₂ = C₂².₇₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:12C2	128,2219
C₂³.₃₂C₂³⋊₁₃C₂ = C₂².₈₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:13C2	128,2227
C₂³.₃₂C₂³⋊₁₄C₂ = C₂².₉₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:14C2	128,2241
C₂³.₃₂C₂³⋊₁₅C₂ = C₂².₉₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3:15C2	128,2242
C₂³.₃₂C₂³⋊₁₆C₂ = C₂².₁₀₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:16C2	128,2248
C₂³.₃₂C₂³⋊₁₇C₂ = C₂².₁₀₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:17C2	128,2250
C₂³.₃₂C₂³⋊₁₈C₂ = C₂³.₁₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:18C2	128,2255
C₂³.₃₂C₂³⋊₁₉C₂ = C₂².₁₁₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3:19C2	128,2256
C₂³.₃₂C₂³⋊₂₀C₂ = C₂².₁₄C₂⁵	φ: trivial image	32		C2^3.32C2^3:20C2	128,2160
C₂³.₃₂C₂³⋊₂₁C₂ = C₄×2_-¹⁺⁴	φ: trivial image	64		C2^3.32C2^3:21C2	128,2162

Non-split extensions G=N.Q with N=C₂³.₃₂C₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₃₂C₂³.₁C₂ = (C₂×Q₈).₂₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32	8-	C2^3.32C2^3.1C2	128,562
C₂³.₃₂C₂³.₂C₂ = C₄.₁₀D₄⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3.2C2	128,589
C₂³.₃₂C₂³.₃C₂ = C₄⋊Q₈⋊₁₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	32		C2^3.32C2^3.3C2	128,618
C₂³.₃₂C₂³.₄C₂ = C₄².₂₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3.4C2	128,1682
C₂³.₃₂C₂³.₅C₂ = C₄².₂₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3.5C2	128,1814
C₂³.₃₂C₂³.₆C₂ = C₄².₃₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3.6C2	128,1859
C₂³.₃₂C₂³.₇C₂ = C₂².₉₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₂C₂³	64		C2^3.32C2^3.7C2	128,2234

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Extensions 1→N→G→Q→1 with N=C23.32C23 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₃₂C₂³ and Q=C₂