Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄²

Direct product G=N×Q with N=C₅ and Q=D₄²

		d	ρ	Label	ID
C₅×D₄²		80		C5xD4^2	320,1547

Semidirect products G=N:Q with N=C₅ and Q=D₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁D₄² = D₄×D₂₀	φ: D₄²/C₄×D₄ → C₂ ⊆ Aut C₅	80		C5:1D4^2	320,1221
C₅⋊₂D₄² = C₂⁴⋊₄D₁₀	φ: D₄²/C₂²≀C₂ → C₂ ⊆ Aut C₅	80		C5:2D4^2	320,1262
C₅⋊₃D₄² = D₂₀⋊₁₉D₄	φ: D₄²/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:3D4^2	320,1281
C₅⋊₄D₄² = D₂₀⋊₁₁D₄	φ: D₄²/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	80		C5:4D4^2	320,1389
C₅⋊₅D₄² = D₄×C₅⋊D₄	φ: D₄²/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:5D4^2	320,1473

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁