Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅xD₅

Direct product G=NxQ with N=C₅ and Q=C₅xD₅

		d	ρ	Label	ID
D₅xC₅²		50		D5xC5^2	250,12

Semidirect products G=N:Q with N=C₅ and Q=C₅xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₅xD₅) = C₅xC₅:D₅	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₅	50		C5:(C5xD5)	250,13

Non-split extensions G=N.Q with N=C₅ and Q=C₅xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.₁(C₅xD₅) = C₅xD₂₅	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₅	50	2	C5.1(C5xD5)	250,3
C₅.₂(C₅xD₅) = C₅²:C₁₀	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₅	25	10+	C5.2(C5xD5)	250,5
C₅.₃(C₅xD₅) = C₂₅:C₁₀	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₅	25	10+	C5.3(C5xD5)	250,6
C₅.₄(C₅xD₅) = D₅xC₂₅	central extension (φ=1)	50	2	C5.4(C5xD5)	250,4

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