Extensions 1→N→G→Q→1 with N=C₅×D₅ and Q=D₅

Direct product G=N×Q with N=C₅×D₅ and Q=D₅

		d	ρ	Label	ID
C₅×D₅²		20	4	C5xD5^2	500,50

Semidirect products G=N:Q with N=C₅×D₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅)⋊D₅ = D₅×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₅	50		(C5xD5):D5	500,51

Non-split extensions G=N.Q with N=C₅×D₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅).₁D₅ = C₅×D₅.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₅	20	4	(C5xD5).1D5	500,42
(C₅×D₅).₂D₅ = D₅.D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₅	100	4	(C5xD5).2D5	500,19
(C₅×D₅).₃D₅ = D₅×D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₅	50	4+	(C5xD5).3D5	500,26
(C₅×D₅).₄D₅ = C₅³⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₅	100		(C5xD5).4D5	500,45

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Extensions 1→N→G→Q→1 with N=C5×D5 and Q=D5