Extensions 1→N→G→Q→1 with N=C₂².₄₅C₂⁴ and Q=C₂

Direct product G=N×Q with N=C₂².₄₅C₂⁴ and Q=C₂

		d	ρ	Label	ID
C₂×C₂².₄₅C₂⁴		32		C2xC2^2.45C2^4	128,2201

Semidirect products G=N:Q with N=C₂².₄₅C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².₄₅C₂⁴⋊₁C₂ = C₄²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	16	4	C2^2.45C2^4:1C2	128,929
C₂².₄₅C₂⁴⋊₂C₂ = C₂².₇₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	16		C2^2.45C2^4:2C2	128,2222
C₂².₄₅C₂⁴⋊₃C₂ = C₂².₈₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:3C2	128,2223
C₂².₄₅C₂⁴⋊₄C₂ = C₂².₈₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:4C2	128,2226
C₂².₄₅C₂⁴⋊₅C₂ = C₂².₈₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:5C2	128,2227
C₂².₄₅C₂⁴⋊₆C₂ = C₂².₉₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:6C2	128,2237
C₂².₄₅C₂⁴⋊₇C₂ = C₂².₉₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:7C2	128,2242
C₂².₄₅C₂⁴⋊₈C₂ = C₂².₁₀₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:8C2	128,2245
C₂².₄₅C₂⁴⋊₉C₂ = C₂².₁₀₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:9C2	128,2246
C₂².₄₅C₂⁴⋊₁₀C₂ = C₂³.₁₄₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:10C2	128,2252
C₂².₄₅C₂⁴⋊₁₁C₂ = C₂².₁₁₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:11C2	128,2253
C₂².₄₅C₂⁴⋊₁₂C₂ = C₄²⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	16		C2^2.45C2^4:12C2	128,2264
C₂².₄₅C₂⁴⋊₁₃C₂ = C₂².₁₂₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:13C2	128,2265
C₂².₄₅C₂⁴⋊₁₄C₂ = C₂².₁₂₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:14C2	128,2266
C₂².₄₅C₂⁴⋊₁₅C₂ = C₂².₁₂₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:15C2	128,2267
C₂².₄₅C₂⁴⋊₁₆C₂ = C₂².₁₂₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:16C2	128,2270
C₂².₄₅C₂⁴⋊₁₇C₂ = C₂².₁₂₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:17C2	128,2272
C₂².₄₅C₂⁴⋊₁₈C₂ = C₂².₁₃₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:18C2	128,2274
C₂².₄₅C₂⁴⋊₁₉C₂ = C₂².₁₃₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:19C2	128,2277
C₂².₄₅C₂⁴⋊₂₀C₂ = C₂².₁₄₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:20C2	128,2283
C₂².₄₅C₂⁴⋊₂₁C₂ = C₂².₁₄₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:21C2	128,2292
C₂².₄₅C₂⁴⋊₂₂C₂ = C₂².₁₅₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:22C2	128,2293
C₂².₄₅C₂⁴⋊₂₃C₂ = C₂².₁₅₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:23C2	128,2294
C₂².₄₅C₂⁴⋊₂₄C₂ = C₂².₁₅₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:24C2	128,2296
C₂².₄₅C₂⁴⋊₂₅C₂ = C₂².₁₅₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:25C2	128,2298
C₂².₄₅C₂⁴⋊₂₆C₂ = C₂².₁₅₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₄₅C₂⁴	32		C2^2.45C2^4:26C2	128,2300
C₂².₄₅C₂⁴⋊₂₇C₂ = C₂².₆₄C₂⁵	φ: trivial image	32		C2^2.45C2^4:27C2	128,2207
C₂².₄₅C₂⁴⋊₂₈C₂ = C₂².₇₀C₂⁵	φ: trivial image	32		C2^2.45C2^4:28C2	128,2213

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22.45C24 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂².₄₅C₂⁴ and Q=C₂