Extensions 1→N→G→Q→1 with N=C₅³ and Q=C₂²

Direct product G=N×Q with N=C₅³ and Q=C₂²

		d	ρ	Label	ID
C₅×C₁₀²		500		C5xC10^2	500,56

Semidirect products G=N:Q with N=C₅³ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅³⋊₁C₂² = C₅×D₅²	φ: C₂²/C₁ → C₂² ⊆ Aut C₅³	20	4	C5^3:1C2^2	500,50
C₅³⋊₂C₂² = D₅×C₅⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₅³	50		C5^3:2C2^2	500,51
C₅³⋊₃C₂² = C₅²⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₅³	20	4	C5^3:3C2^2	500,52
C₅³⋊₄C₂² = D₅×C₅×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₅³	100		C5^3:4C2^2	500,53
C₅³⋊₅C₂² = C₁₀×C₅⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₅³	100		C5^3:5C2^2	500,54
C₅³⋊₆C₂² = C₂×C₅³⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₅³	250		C5^3:6C2^2	500,55

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