Extensions 1→N→G→Q→1 with N=C₂⁴⋊₂D₅ and Q=C₂

Direct product G=N×Q with N=C₂⁴⋊₂D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂⁴⋊₂D₅		80		C2xC2^4:2D5	320,1512

Semidirect products G=N:Q with N=C₂⁴⋊₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊₂D₅⋊₁C₂ = C₂⁴⋊₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	40	4	C2^4:2D5:1C2	320,659
C₂⁴⋊₂D₅⋊₂C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:2C2	320,1162
C₂⁴⋊₂D₅⋊₃C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:3C2	320,1166
C₂⁴⋊₂D₅⋊₄C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:4C2	320,1258
C₂⁴⋊₂D₅⋊₅C₂ = D₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	40		C2^4:2D5:5C2	320,1260
C₂⁴⋊₂D₅⋊₆C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:6C2	320,1261
C₂⁴⋊₂D₅⋊₇C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:7C2	320,1264
C₂⁴⋊₂D₅⋊₈C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:8C2	320,1265
C₂⁴⋊₂D₅⋊₉C₂ = C₂⁴⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:9C2	320,1266
C₂⁴⋊₂D₅⋊₁₀C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:10C2	320,1267
C₂⁴⋊₂D₅⋊₁₁C₂ = D₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:11C2	320,1473
C₂⁴⋊₂D₅⋊₁₂C₂ = C₂⁴⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:12C2	320,1476
C₂⁴⋊₂D₅⋊₁₃C₂ = C₂⁴.₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:13C2	320,1477
C₂⁴⋊₂D₅⋊₁₄C₂ = C₂⁴.₄₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5:14C2	320,1478
C₂⁴⋊₂D₅⋊₁₅C₂ = C₂⁴.₇₂D₁₀	φ: trivial image	80		C2^4:2D5:15C2	320,1463

Non-split extensions G=N.Q with N=C₂⁴⋊₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊₂D₅.₁C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	80		C2^4:2D5.1C2	320,1167
C₂⁴⋊₂D₅.₂C₂ = C₂⁴⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊₂D₅	40	4	C2^4:2D5.2C2	320,272

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