Extensions 1→N→G→Q→1 with N=C₅² and Q=C₈

Direct product G=N×Q with N=C₅² and Q=C₈

		d	ρ	Label	ID
C₅×C₄₀		200		C5xC40	200,17

Semidirect products G=N:Q with N=C₅² and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊C₈ = C₅²⋊C₈	φ: C₈/C₁ → C₈ ⊆ Aut C₅²	10	8+	C5^2:C8	200,40
C₅²⋊₂C₈ = C₅×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅²	40	4	C5^2:2C8	200,18
C₅²⋊₃C₈ = C₅²⋊₃C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅²	40	4	C5^2:3C8	200,19
C₅²⋊₄C₈ = C₅²⋊₄C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅²	200		C5^2:4C8	200,20
C₅²⋊₅C₈ = C₅²⋊₅C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅²	40	4-	C5^2:5C8	200,21
C₅²⋊₆C₈ = C₅×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅²	40	2	C5^2:6C8	200,15
C₅²⋊₇C₈ = C₅²⋊₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅²	200		C5^2:7C8	200,16

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