Extensions 1→N→G→Q→1 with N=C₅² and Q=D₈

Direct product G=N×Q with N=C₅² and Q=D₈

		d	ρ	Label	ID
D₈×C₅²		200		D8xC5^2	400,113

Semidirect products G=N:Q with N=C₅² and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊D₈ = C₅²⋊D₈	φ: D₈/C₂ → D₄ ⊆ Aut C₅²	40	4	C5^2:D8	400,131
C₅²⋊₂D₈ = C₅²⋊₂D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₅²	80	4	C5^2:2D8	400,64
C₅²⋊₃D₈ = C₅⋊D₄₀	φ: D₈/C₄ → C₂² ⊆ Aut C₅²	40	4+	C5^2:3D8	400,65
C₅²⋊₄D₈ = C₅×D₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₅²	80	2	C5^2:4D8	400,79
C₅²⋊₅D₈ = C₅²⋊₅D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₅²	200		C5^2:5D8	400,95
C₅²⋊₆D₈ = C₅×D₄⋊D₅	φ: D₈/D₄ → C₂ ⊆ Aut C₅²	40	4	C5^2:6D8	400,87
C₅²⋊₇D₈ = C₅²⋊₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₅²	200		C5^2:7D8	400,103

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁