Extensions 1→N→G→Q→1 with N=C₂²≀C₂ and Q=D₅

Direct product G=N×Q with N=C₂²≀C₂ and Q=D₅

		d	ρ	Label	ID
D₅×C₂²≀C₂		40		D5xC2^2wrC2	320,1260

Semidirect products G=N:Q with N=C₂²≀C₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂⋊₁D₅ = C₂⁴⋊₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	40	4	C2^2wrC2:1D5	320,659
C₂²≀C₂⋊₂D₅ = C₂⁴⋊₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:2D5	320,1261
C₂²≀C₂⋊₃D₅ = C₂⁴⋊₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:3D5	320,1262
C₂²≀C₂⋊₄D₅ = C₂⁴.₃₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:4D5	320,1263
C₂²≀C₂⋊₅D₅ = C₂⁴.₃₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:5D5	320,1264
C₂²≀C₂⋊₆D₅ = C₂⁴.₃₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:6D5	320,1265
C₂²≀C₂⋊₇D₅ = C₂⁴⋊₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:7D5	320,1266
C₂²≀C₂⋊₈D₅ = C₂⁴.₃₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:8D5	320,1267
C₂²≀C₂⋊₉D₅ = C₂⁴.₅₆D₁₀	φ: trivial image	80		C2^2wrC2:9D5	320,1258

Non-split extensions G=N.Q with N=C₂²≀C₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂.₁D₅ = C₂⁴⋊₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	40	4	C2^2wrC2.1D5	320,94
C₂²≀C₂.₂D₅ = C₂⁴.₃₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2.2D5	320,1259

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁