Extensions 1→N→G→Q→1 with N=C₅⋊D₄ and Q=C₂²

Direct product G=N×Q with N=C₅⋊D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₅⋊D₄		80		C2^2xC5:D4	160,227

Semidirect products G=N:Q with N=C₅⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄⋊₁C₂² = C₂×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊D₄	40		C5:D4:1C2^2	160,217
C₅⋊D₄⋊₂C₂² = C₂×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊D₄	80		C5:D4:2C2^2	160,218
C₅⋊D₄⋊₃C₂² = D₄⋊₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊D₄	40	4	C5:D4:3C2^2	160,219
C₅⋊D₄⋊₄C₂² = D₅×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊D₄	40	4	C5:D4:4C2^2	160,223
C₅⋊D₄⋊₅C₂² = D₄⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊D₄	40	4+	C5:D4:5C2^2	160,224
C₅⋊D₄⋊₆C₂² = C₂×C₄○D₂₀	φ: trivial image	80		C5:D4:6C2^2	160,216

Non-split extensions G=N.Q with N=C₅⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄.C₂² = D₄.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊D₄	80	4-	C5:D4.C2^2	160,225
C₅⋊D₄.₂C₂² = Q₈.₁₀D₁₀	φ: trivial image	80	4	C5:D4.2C2^2	160,222

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁