Extensions 1→N→G→Q→1 with N=C₄².₂₉C₂² and Q=C₂

Direct product G=N×Q with N=C₄².₂₉C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₄².₂₉C₂²		64		C2xC4^2.29C2^2	128,1865

Semidirect products G=N:Q with N=C₄².₂₉C₂² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄².₂₉C₂²⋊₁C₂ = C₄².₂₇₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:1C2	128,1949
C₄².₂₉C₂²⋊₂C₂ = C₄².₂₇₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:2C2	128,1951
C₄².₂₉C₂²⋊₃C₂ = C₄².₄₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:3C2	128,1952
C₄².₂₉C₂²⋊₄C₂ = C₄².₄₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:4C2	128,1954
C₄².₂₉C₂²⋊₅C₂ = C₄².₂₈₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:5C2	128,1966
C₄².₂₉C₂²⋊₆C₂ = C₄².₂₈₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:6C2	128,1967
C₄².₂₉C₂²⋊₇C₂ = C₄².₄₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:7C2	128,1973
C₄².₂₉C₂²⋊₈C₂ = C₄².₄₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:8C2	128,2041
C₄².₂₉C₂²⋊₉C₂ = C₄².₄₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:9C2	128,2042
C₄².₂₉C₂²⋊₁₀C₂ = C₄².₅₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:10C2	128,2049
C₄².₂₉C₂²⋊₁₁C₂ = C₄².₅₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:11C2	128,2050
C₄².₂₉C₂²⋊₁₂C₂ = C₄².₅₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:12C2	128,2098
C₄².₂₉C₂²⋊₁₃C₂ = C₄².₅₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:13C2	128,2100
C₄².₂₉C₂²⋊₁₄C₂ = C₄².₅₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:14C2	128,2102
C₄².₂₉C₂²⋊₁₅C₂ = C₄².₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:15C2	128,388
C₄².₂₉C₂²⋊₁₆C₂ = C₄².₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:16C2	128,389
C₄².₂₉C₂²⋊₁₇C₂ = C₄².₃₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:17C2	128,1868
C₄².₂₉C₂²⋊₁₈C₂ = C₄².₂₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	32	C4^2.29C2^2:18C2	128,1870
C₄².₂₉C₂²⋊₁₉C₂ = C₄².₂₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:19C2	128,1874
C₄².₂₉C₂²⋊₂₀C₂ = C₄².₃₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:20C2	128,1906
C₄².₂₉C₂²⋊₂₁C₂ = C₄².₃₈₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:21C2	128,1908
C₄².₂₉C₂²⋊₂₂C₂ = C₄².₂₅₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64	C4^2.29C2^2:22C2	128,1912
C₄².₂₉C₂²⋊₂₃C₂ = C₄².₂₃₉D₄	φ: trivial image	64	C4^2.29C2^2:23C2	128,1867
C₄².₂₉C₂²⋊₂₄C₂ = C₄².₂₅₅D₄	φ: trivial image	64	C4^2.29C2^2:24C2	128,1903

Non-split extensions G=N.Q with N=C₄².₂₉C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².₂₉C₂².₁C₂ = C₄².₅₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64		C4^2.29C2^2.1C2	128,2103
C₄².₂₉C₂².₂C₂ = C₄.C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	16	8+	C4^2.29C2^2.2C2	128,87
C₄².₂₉C₂².₃C₂ = C₈⋊C₄⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	16	8+	C4^2.29C2^2.3C2	128,144
C₄².₂₉C₂².₄C₂ = C₄².₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₉C₂²	64		C4^2.29C2^2.4C2	128,390

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Extensions 1→N→G→Q→1 with N=C42.29C22 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄².₂₉C₂² and Q=C₂