Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=D₅

Direct product G=N×Q with N=C₂³⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₂³⋊C₄		40	8+	D5xC2^3:C4	320,370

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁D₅ = C₅⋊₃C₂≀C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂³⋊C₄	40	8+	C2^3:C4:1D5	320,29
C₂³⋊C₄⋊₂D₅ = C₂³.₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂³⋊C₄	40	8+	C2^3:C4:2D5	320,32
C₂³⋊C₄⋊₃D₅ = C₂³⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂³⋊C₄	40	8+	C2^3:C4:3D5	320,368
C₂³⋊C₄⋊₄D₅ = C₂³.₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂³⋊C₄	80	8-	C2^3:C4:4D5	320,369
C₂³⋊C₄⋊₅D₅ = C₂³⋊C₄⋊₅D₅	φ: trivial image	80	8-	C2^3:C4:5D5	320,367

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁D₅ = (C₂×C₂₀).D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂³⋊C₄	80	8-	C2^3:C4.1D5	320,30
C₂³⋊C₄.₂D₅ = C₂³.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂³⋊C₄	80	8-	C2^3:C4.2D5	320,31

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁