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

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

		d	ρ	Label	ID
C₂×C₂⁴⋊C₂²		32		C2xC2^4:C2^2	128,2258

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊C₂²⋊₁C₂ = C₄².C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2:1C2	128,387
C₂⁴⋊C₂²⋊₂C₂ = C₄²⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	16	8+	C2^4:C2^2:2C2	128,931
C₂⁴⋊C₂²⋊₃C₂ = C₄².₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	16	8+	C2^4:C2^2:3C2	128,934
C₂⁴⋊C₂²⋊₄C₂ = C₄²⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	16		C2^4:C2^2:4C2	128,2264
C₂⁴⋊C₂²⋊₅C₂ = C₂².₁₂₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2:5C2	128,2272
C₂⁴⋊C₂²⋊₆C₂ = C₂².₁₃₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2:6C2	128,2277
C₂⁴⋊C₂²⋊₇C₂ = C₂².₁₃₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2:7C2	128,2281
C₂⁴⋊C₂²⋊₈C₂ = C₂².₁₄₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2:8C2	128,2290
C₂⁴⋊C₂²⋊₉C₂ = C₂².₁₅₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2:9C2	128,2300
C₂⁴⋊C₂²⋊₁₀C₂ = C₂².₁₁₈C₂⁵	φ: trivial image	32		C2^4:C2^2:10C2	128,2261

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊C₂².C₂ = C₄².₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₂²	32		C2^4:C2^2.C2	128,391

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