Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₂²

Direct product G=N×Q with N=C₅×Q₈ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₁₀		160		Q8xC2xC10	160,230

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁C₂² = D₅×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	40	4	(C5xQ8):1C2^2	160,134
(C₅×Q₈)⋊₂C₂² = D₄₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	40	4+	(C5xQ8):2C2^2	160,135
(C₅×Q₈)⋊₃C₂² = C₂×Q₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):3C2^2	160,162
(C₅×Q₈)⋊₄C₂² = D₄⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	40	4+	(C5xQ8):4C2^2	160,170
(C₅×Q₈)⋊₅C₂² = C₂×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):5C2^2	160,220
(C₅×Q₈)⋊₆C₂² = C₂×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):6C2^2	160,221
(C₅×Q₈)⋊₇C₂² = D₅×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	40	4	(C5xQ8):7C2^2	160,223
(C₅×Q₈)⋊₈C₂² = D₄⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	40	4+	(C5xQ8):8C2^2	160,224
(C₅×Q₈)⋊₉C₂² = C₁₀×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):9C2^2	160,194
(C₅×Q₈)⋊₁₀C₂² = C₅×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	40	4	(C5xQ8):10C2^2	160,197
(C₅×Q₈)⋊₁₁C₂² = C₁₀×C₄○D₄	φ: trivial image	80		(C5xQ8):11C2^2	160,231
(C₅×Q₈)⋊₁₂C₂² = C₅×2₊¹⁺⁴	φ: trivial image	40	4	(C5xQ8):12C2^2	160,232

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).₁C₂² = SD₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	80	4-	(C5xQ8).1C2^2	160,136
(C₅×Q₈).₂C₂² = SD₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).2C2^2	160,137
(C₅×Q₈).₃C₂² = D₅×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	80	4-	(C5xQ8).3C2^2	160,138
(C₅×Q₈).₄C₂² = Q₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).4C2^2	160,139
(C₅×Q₈).₅C₂² = Q₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₈	80	4+	(C5xQ8).5C2^2	160,140
(C₅×Q₈).₆C₂² = C₂₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).6C2^2	160,163
(C₅×Q₈).₇C₂² = C₂×C₅⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).7C2^2	160,164
(C₅×Q₈).₈C₂² = D₄.₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).8C2^2	160,171
(C₅×Q₈).₉C₂² = D₄.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	4-	(C5xQ8).9C2^2	160,172
(C₅×Q₈).₁₀C₂² = Q₈.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).10C2^2	160,222
(C₅×Q₈).₁₁C₂² = D₄.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	4-	(C5xQ8).11C2^2	160,225
(C₅×Q₈).₁₂C₂² = C₁₀×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).12C2^2	160,195
(C₅×Q₈).₁₃C₂² = C₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	2	(C5xQ8).13C2^2	160,196
(C₅×Q₈).₁₄C₂² = C₅×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).14C2^2	160,198
(C₅×Q₈).₁₅C₂² = C₅×2_-¹⁺⁴	φ: trivial image	80	4	(C5xQ8).15C2^2	160,233

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