Extensions 1→N→G→Q→1 with N=C₅×D₅ and Q=C₂×C₄

Direct product G=N×Q with N=C₅×D₅ and Q=C₂×C₄

		d	ρ	Label	ID
D₅×C₂×C₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=C₅×D₅ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅)⋊₁(C₂×C₄) = C₂×D₅×F₅	φ: C₂×C₄/C₂ → C₄ ⊆ Out C₅×D₅	40	8+	(C5xD5):1(C2xC4)	400,209
(C₅×D₅)⋊₂(C₂×C₄) = C₂×D₅⋊F₅	φ: C₂×C₄/C₂ → C₄ ⊆ Out C₅×D₅	20	8+	(C5xD5):2(C2xC4)	400,210
(C₅×D₅)⋊₃(C₂×C₄) = C₄×D₅²	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅×D₅	40	4	(C5xD5):3(C2xC4)	400,169
(C₅×D₅)⋊₄(C₂×C₄) = F₅×C₂×C₁₀	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅×D₅	80		(C5xD5):4(C2xC4)	400,214
(C₅×D₅)⋊₅(C₂×C₄) = C₂×D₅×Dic₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅×D₅	80		(C5xD5):5(C2xC4)	400,172
(C₅×D₅)⋊₆(C₂×C₄) = C₂²×D₅.D₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅×D₅	80		(C5xD5):6(C2xC4)	400,215

Non-split extensions G=N.Q with N=C₅×D₅ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅).(C₂×C₄) = F₅²	φ: C₂×C₄/C₁ → C₂×C₄ ⊆ Out C₅×D₅	20	16+	(C5xD5).(C2xC4)	400,205
(C₅×D₅).₂(C₂×C₄) = Dic₅×F₅	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₅×D₅	80	8-	(C5xD5).2(C2xC4)	400,117
(C₅×D₅).₃(C₂×C₄) = C₂₀×F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅×D₅	80	4	(C5xD5).3(C2xC4)	400,137
(C₅×D₅).₄(C₂×C₄) = C₄×D₅.D₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅×D₅	80	4	(C5xD5).4(C2xC4)	400,144

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