Extensions 1→N→G→Q→1 with N=C₂².₄₉C₂⁴ and Q=C₂

Direct product G=N×Q with N=C₂².₄₉C₂⁴ and Q=C₂

		d	ρ	Label	ID
C₂×C₂².₄₉C₂⁴		64		C2xC2^2.49C2^4	128,2205

Semidirect products G=N:Q with N=C₂².₄₉C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².₄₉C₂⁴⋊₁C₂ = C₄².₁₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:1C2	128,356
C₂².₄₉C₂⁴⋊₂C₂ = C₄².₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	16	4	C2^2.49C2^4:2C2	128,936
C₂².₄₉C₂⁴⋊₃C₂ = C₄².₄₆₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:3C2	128,2035
C₂².₄₉C₂⁴⋊₄C₂ = C₄².₄₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:4C2	128,2037
C₂².₄₉C₂⁴⋊₅C₂ = C₄².₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:5C2	128,2051
C₂².₄₉C₂⁴⋊₆C₂ = C₄².₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:6C2	128,2053
C₂².₄₉C₂⁴⋊₇C₂ = C₄².₄₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:7C2	128,2057
C₂².₄₉C₂⁴⋊₈C₂ = C₄².₄₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:8C2	128,2073
C₂².₄₉C₂⁴⋊₉C₂ = C₄².₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:9C2	128,2079
C₂².₄₉C₂⁴⋊₁₀C₂ = C₄².₄₉₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:10C2	128,2086
C₂².₄₉C₂⁴⋊₁₁C₂ = C₂².₈₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:11C2	128,2225
C₂².₄₉C₂⁴⋊₁₂C₂ = C₂².₈₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:12C2	128,2226
C₂².₄₉C₂⁴⋊₁₃C₂ = C₂².₉₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:13C2	128,2238
C₂².₄₉C₂⁴⋊₁₄C₂ = C₂².₁₀₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:14C2	128,2243
C₂².₄₉C₂⁴⋊₁₅C₂ = C₂².₁₀₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:15C2	128,2246
C₂².₄₉C₂⁴⋊₁₆C₂ = C₂².₁₀₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:16C2	128,2250
C₂².₄₉C₂⁴⋊₁₇C₂ = C₂².₁₀₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:17C2	128,2251
C₂².₄₉C₂⁴⋊₁₈C₂ = C₂².₁₁₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:18C2	128,2256
C₂².₄₉C₂⁴⋊₁₉C₂ = C₂².₁₂₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:19C2	128,2272
C₂².₄₉C₂⁴⋊₂₀C₂ = C₂².₁₃₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:20C2	128,2274
C₂².₄₉C₂⁴⋊₂₁C₂ = C₂².₁₃₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:21C2	128,2276
C₂².₄₉C₂⁴⋊₂₂C₂ = C₂².₁₃₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:22C2	128,2277
C₂².₄₉C₂⁴⋊₂₃C₂ = C₂².₁₃₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:23C2	128,2279
C₂².₄₉C₂⁴⋊₂₄C₂ = C₂².₁₃₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:24C2	128,2281
C₂².₄₉C₂⁴⋊₂₅C₂ = C₂².₁₄₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:25C2	128,2283
C₂².₄₉C₂⁴⋊₂₆C₂ = C₂².₁₅₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64		C2^2.49C2^4:26C2	128,2297
C₂².₄₉C₂⁴⋊₂₇C₂ = C₂².₁₅₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	32		C2^2.49C2^4:27C2	128,2298
C₂².₄₉C₂⁴⋊₂₈C₂ = C₂².₆₄C₂⁵	φ: trivial image	32		C2^2.49C2^4:28C2	128,2207
C₂².₄₉C₂⁴⋊₂₉C₂ = C₂².₇₂C₂⁵	φ: trivial image	64		C2^2.49C2^4:29C2	128,2215

Non-split extensions G=N.Q with N=C₂².₄₉C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂².₄₉C₂⁴.₁C₂ = C₄².₁₉₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64	C2^2.49C2^4.1C2	128,366
C₂².₄₉C₂⁴.₂C₂ = C₄².₂₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64	C2^2.49C2^4.2C2	128,378
C₂².₄₉C₂⁴.₃C₂ = C₄².₄₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64	C2^2.49C2^4.3C2	128,2061
C₂².₄₉C₂⁴.₄C₂ = C₄².₄₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64	C2^2.49C2^4.4C2	128,2072
C₂².₄₉C₂⁴.₅C₂ = C₄².₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64	C2^2.49C2^4.5C2	128,2080
C₂².₄₉C₂⁴.₆C₂ = C₄².₄₉₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₉C₂⁴	64	C2^2.49C2^4.6C2	128,2089

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Extensions 1→N→G→Q→1 with N=C22.49C24 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂².₄₉C₂⁴ and Q=C₂