Extensions 1→N→G→Q→1 with N=C₂³.₃₃C₂³ and Q=C₂

Direct product G=N×Q with N=C₂³.₃₃C₂³ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₃₃C₂³		64		C2xC2^3.33C2^3	128,2159

Semidirect products G=N:Q with N=C₂³.₃₃C₂³ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₃₃C₂³⋊₁C₂ = C₈⋊C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:1C2	128,615
C₂³.₃₃C₂³⋊₂C₂ = 2₊¹⁺⁴⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:2C2	128,1629
C₂³.₃₃C₂³⋊₃C₂ = 2_-¹⁺⁴⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:3C2	128,1630
C₂³.₃₃C₂³⋊₄C₂ = C₄².₂₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:4C2	128,1678
C₂³.₃₃C₂³⋊₅C₂ = C₄².₂₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:5C2	128,1683
C₂³.₃₃C₂³⋊₆C₂ = C₄².₂₈₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:6C2	128,1684
C₂³.₃₃C₂³⋊₇C₂ = C₄².₁₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:7C2	128,1777
C₂³.₃₃C₂³⋊₈C₂ = C₄².₁₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:8C2	128,1778
C₂³.₃₃C₂³⋊₉C₂ = (C₂×D₄).₃₀₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:9C2	128,1828
C₂³.₃₃C₂³⋊₁₀C₂ = (C₂×D₄).₃₀₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:10C2	128,1830
C₂³.₃₃C₂³⋊₁₁C₂ = (C₂×D₄).₃₀₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:11C2	128,1831
C₂³.₃₃C₂³⋊₁₂C₂ = C₄².₃₅₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:12C2	128,1851
C₂³.₃₃C₂³⋊₁₃C₂ = C₄².₃₅₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:13C2	128,1856
C₂³.₃₃C₂³⋊₁₄C₂ = C₄².₃₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:14C2	128,1857
C₂³.₃₃C₂³⋊₁₅C₂ = C₂².₇₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:15C2	128,2220
C₂³.₃₃C₂³⋊₁₆C₂ = C₂².₇₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:16C2	128,2221
C₂³.₃₃C₂³⋊₁₇C₂ = C₂².₈₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:17C2	128,2224
C₂³.₃₃C₂³⋊₁₈C₂ = C₂².₈₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:18C2	128,2225
C₂³.₃₃C₂³⋊₁₉C₂ = C₂².₈₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:19C2	128,2226
C₂³.₃₃C₂³⋊₂₀C₂ = C₂².₈₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:20C2	128,2227
C₂³.₃₃C₂³⋊₂₁C₂ = C₂².₉₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:21C2	128,2238
C₂³.₃₃C₂³⋊₂₂C₂ = C₂².₉₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:22C2	128,2239
C₂³.₃₃C₂³⋊₂₃C₂ = C₂².₁₀₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:23C2	128,2243
C₂³.₃₃C₂³⋊₂₄C₂ = C₂².₁₀₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:24C2	128,2244
C₂³.₃₃C₂³⋊₂₅C₂ = C₂².₁₀₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:25C2	128,2245
C₂³.₃₃C₂³⋊₂₆C₂ = C₂².₁₀₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:26C2	128,2247
C₂³.₃₃C₂³⋊₂₇C₂ = C₂².₁₀₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:27C2	128,2248
C₂³.₃₃C₂³⋊₂₈C₂ = C₂².₁₀₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:28C2	128,2249
C₂³.₃₃C₂³⋊₂₉C₂ = C₂³.₁₄₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:29C2	128,2252
C₂³.₃₃C₂³⋊₃₀C₂ = C₂².₁₁₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3:30C2	128,2253
C₂³.₃₃C₂³⋊₃₁C₂ = C₂².₁₁₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:31C2	128,2254
C₂³.₃₃C₂³⋊₃₂C₂ = C₂².₁₁₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3:32C2	128,2256
C₂³.₃₃C₂³⋊₃₃C₂ = C₂².₁₄C₂⁵	φ: trivial image	32	C2^3.33C2^3:33C2	128,2160
C₂³.₃₃C₂³⋊₃₄C₂ = C₄×2₊¹⁺⁴	φ: trivial image	32	C2^3.33C2^3:34C2	128,2161
C₂³.₃₃C₂³⋊₃₅C₂ = C₄×2_-¹⁺⁴	φ: trivial image	64	C2^3.33C2^3:35C2	128,2162

Non-split extensions G=N.Q with N=C₂³.₃₃C₂³ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₃₃C₂³.₁C₂ = C₄≀C₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3.1C2	128,591
C₂³.₃₃C₂³.₂C₂ = C₄²⋊₉(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3.2C2	128,592
C₂³.₃₃C₂³.₃C₂ = C₈.C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	32	C2^3.33C2^3.3C2	128,614
C₂³.₃₃C₂³.₄C₂ = C₄○D₄.₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.4C2	128,1644
C₂³.₃₃C₂³.₅C₂ = C₄○D₄.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.5C2	128,1645
C₂³.₃₃C₂³.₆C₂ = C₄².₂₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.6C2	128,1679
C₂³.₃₃C₂³.₇C₂ = C₄².₂₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.7C2	128,1815
C₂³.₃₃C₂³.₈C₂ = C₄².₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.8C2	128,1816
C₂³.₃₃C₂³.₉C₂ = (C₂×D₄).₃₀₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.9C2	128,1829
C₂³.₃₃C₂³.₁₀C₂ = C₄².₃₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.10C2	128,1852
C₂³.₃₃C₂³.₁₁C₂ = C₂².₉₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.11C2	128,2235
C₂³.₃₃C₂³.₁₂C₂ = C₂².₉₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₃C₂³	64	C2^3.33C2^3.12C2	128,2236

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Extensions 1→N→G→Q→1 with N=C23.33C23 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₃₃C₂³ and Q=C₂