Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂₅⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂₅⋊C₄

		d	ρ	Label	ID
C₅×C₂₅⋊C₄		100	4	C5xC25:C4	500,16

Semidirect products G=N:Q with N=C₅ and Q=C₂₅⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂₅⋊C₄) = C₂₅⋊F₅	φ: C₂₅⋊C₄/C₂₅ → C₄ ⊆ Aut C₅	125		C5:1(C25:C4)	500,22
C₅⋊₂(C₂₅⋊C₄) = C₂₅⋊₂F₅	φ: C₂₅⋊C₄/C₂₅ → C₄ ⊆ Aut C₅	50	4+	C5:2(C25:C4)	500,24
C₅⋊₃(C₂₅⋊C₄) = D₂₅.D₅	φ: C₂₅⋊C₄/D₂₅ → C₂ ⊆ Aut C₅	100	4	C5:3(C25:C4)	500,20

Non-split extensions G=N.Q with N=C₅ and Q=C₂₅⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂₅⋊C₄) = C₁₂₅⋊C₄	φ: C₂₅⋊C₄/C₂₅ → C₄ ⊆ Aut C₅	125	4+	C5.(C25:C4)	500,3

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Extensions 1→N→G→Q→1 with N=C5 and Q=C25⋊C4