Extensions 1→N→G→Q→1 with N=C₂².₅₄C₂⁴ and Q=C₂

Direct product G=N×Q with N=C₂².₅₄C₂⁴ and Q=C₂

		d	ρ	Label	ID
C₂×C₂².₅₄C₂⁴		32		C2xC2^2.54C2^4	128,2257

Semidirect products G=N:Q with N=C₂².₅₄C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².₅₄C₂⁴⋊₁C₂ = C₄²⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	16	8+	C2^2.54C2^4:1C2	128,932
C₂².₅₄C₂⁴⋊₂C₂ = C₄²⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	16		C2^2.54C2^4:2C2	128,2264
C₂².₅₄C₂⁴⋊₃C₂ = C₂².₁₂₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:3C2	128,2265
C₂².₅₄C₂⁴⋊₄C₂ = C₂².₁₂₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:4C2	128,2266
C₂².₅₄C₂⁴⋊₅C₂ = C₂².₁₂₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:5C2	128,2269
C₂².₅₄C₂⁴⋊₆C₂ = C₂².₁₂₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:6C2	128,2271
C₂².₅₄C₂⁴⋊₇C₂ = C₂².₁₂₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:7C2	128,2272
C₂².₅₄C₂⁴⋊₈C₂ = C₂².₁₃₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:8C2	128,2274
C₂².₅₄C₂⁴⋊₉C₂ = C₂².₁₃₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:9C2	128,2275
C₂².₅₄C₂⁴⋊₁₀C₂ = C₂².₁₃₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:10C2	128,2278
C₂².₅₄C₂⁴⋊₁₁C₂ = C₂².₁₄₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:11C2	128,2283
C₂².₅₄C₂⁴⋊₁₂C₂ = C₂².₁₄₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:12C2	128,2292
C₂².₅₄C₂⁴⋊₁₃C₂ = C₂².₁₅₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:13C2	128,2294
C₂².₅₄C₂⁴⋊₁₄C₂ = C₂².₁₅₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₄C₂⁴	32		C2^2.54C2^4:14C2	128,2298
C₂².₅₄C₂⁴⋊₁₅C₂ = C₂².₁₁₈C₂⁵	φ: trivial image	32		C2^2.54C2^4:15C2	128,2261

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