Extensions 1→N→G→Q→1 with N=C₂₅ and Q=C₂²⋊C₄

Direct product G=N×Q with N=C₂₅ and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₂₅		200		C2^2:C4xC25	400,21

Semidirect products G=N:Q with N=C₂₅ and Q=C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₅⋊(C₂²⋊C₄) = D₂₅.D₄	φ: C₂²⋊C₄/C₂² → C₄ ⊆ Aut C₂₅	100	4+	C25:(C2^2:C4)	400,34
C₂₅⋊₂(C₂²⋊C₄) = D₅₀⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₂₅	200		C25:2(C2^2:C4)	400,14
C₂₅⋊₃(C₂²⋊C₄) = C₂³.D₂₅	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₂₅	200		C25:3(C2^2:C4)	400,19

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