Extensions 1→N→G→Q→1 with N=C₂×Q₈×D₅ and Q=C₂

Direct product G=N×Q with N=C₂×Q₈×D₅ and Q=C₂

		d	ρ	Label	ID
C₂²×Q₈×D₅		160		C2^2xQ8xD5	320,1615

Semidirect products G=N:Q with N=C₂×Q₈×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈×D₅)⋊₁C₂ = Q₈⋊₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):1C2	320,433
(C₂×Q₈×D₅)⋊₂C₂ = D₁₀⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):2C2	320,797
(C₂×Q₈×D₅)⋊₃C₂ = Q₈×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):3C2	320,1247
(C₂×Q₈×D₅)⋊₄C₂ = Q₈⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):4C2	320,1248
(C₂×Q₈×D₅)⋊₅C₂ = D₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80		(C2xQ8xD5):5C2	320,1298
(C₂×Q₈×D₅)⋊₆C₂ = C₁₀.₁₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):6C2	320,1300
(C₂×Q₈×D₅)⋊₇C₂ = Dic₁₀⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):7C2	320,1304
(C₂×Q₈×D₅)⋊₈C₂ = Dic₁₀⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):8C2	320,1305
(C₂×Q₈×D₅)⋊₉C₂ = D₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80		(C2xQ8xD5):9C2	320,1345
(C₂×Q₈×D₅)⋊₁₀C₂ = C₄².₁₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):10C2	320,1347
(C₂×Q₈×D₅)⋊₁₁C₂ = Dic₁₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):11C2	320,1349
(C₂×Q₈×D₅)⋊₁₂C₂ = C₄².₁₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):12C2	320,1396
(C₂×Q₈×D₅)⋊₁₃C₂ = D₂₀⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):13C2	320,1399
(C₂×Q₈×D₅)⋊₁₄C₂ = C₂×D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80		(C2xQ8xD5):14C2	320,1430
(C₂×Q₈×D₅)⋊₁₅C₂ = C₂×SD₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):15C2	320,1432
(C₂×Q₈×D₅)⋊₁₆C₂ = C₂×Q₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):16C2	320,1436
(C₂×Q₈×D₅)⋊₁₇C₂ = D₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80	8-	(C2xQ8xD5):17C2	320,1448
(C₂×Q₈×D₅)⋊₁₈C₂ = Q₈×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):18C2	320,1487
(C₂×Q₈×D₅)⋊₁₉C₂ = C₁₀.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):19C2	320,1503
(C₂×Q₈×D₅)⋊₂₀C₂ = C₂×Q₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):20C2	320,1617
(C₂×Q₈×D₅)⋊₂₁C₂ = C₂×D₄.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5):21C2	320,1620
(C₂×Q₈×D₅)⋊₂₂C₂ = D₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80	8-	(C2xQ8xD5):22C2	320,1624
(C₂×Q₈×D₅)⋊₂₃C₂ = C₂×D₅×C₄○D₄	φ: trivial image	80		(C2xQ8xD5):23C2	320,1618

Non-split extensions G=N.Q with N=C₂×Q₈×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈×D₅).₁C₂ = D₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80	8-	(C2xQ8xD5).1C2	320,377
(C₂×Q₈×D₅).₂C₂ = D₅×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).2C2	320,428
(C₂×Q₈×D₅).₃C₂ = (Q₈×D₅)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).3C2	320,429
(C₂×Q₈×D₅).₄C₂ = D₁₀⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).4C2	320,435
(C₂×Q₈×D₅).₅C₂ = D₁₀⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).5C2	320,813
(C₂×Q₈×D₅).₆C₂ = C₄².₁₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).6C2	320,1244
(C₂×Q₈×D₅).₇C₂ = D₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).7C2	320,1395
(C₂×Q₈×D₅).₈C₂ = C₂×D₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	160		(C2xQ8xD5).8C2	320,1435
(C₂×Q₈×D₅).₉C₂ = C₂×Q₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80		(C2xQ8xD5).9C2	320,1119
(C₂×Q₈×D₅).₁₀C₂ = (C₂×Q₈)⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80	8-	(C2xQ8xD5).10C2	320,1120
(C₂×Q₈×D₅).₁₁C₂ = (C₂×Q₈).₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80	8-	(C2xQ8xD5).11C2	320,1127
(C₂×Q₈×D₅).₁₂C₂ = (C₂×F₅)⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80		(C2xQ8xD5).12C2	320,1128
(C₂×Q₈×D₅).₁₃C₂ = C₂×Q₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80		(C2xQ8xD5).13C2	320,1599
(C₂×Q₈×D₅).₁₄C₂ = D₅.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈×D₅	80	8-	(C2xQ8xD5).14C2	320,1600
(C₂×Q₈×D₅).₁₅C₂ = C₄×Q₈×D₅	φ: trivial image	160		(C2xQ8xD5).15C2	320,1243

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×Q8×D5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂×Q₈×D₅ and Q=C₂