Extensions 1→N→G→Q→1 with N=C₂×D₄×D₅ and Q=C₂

Direct product G=N×Q with N=C₂×D₄×D₅ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄×D₅		80		C2^2xD4xD5	320,1612

Semidirect products G=N:Q with N=C₂×D₄×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄×D₅)⋊₁C₂ = D₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):1C2	320,400
(C₂×D₄×D₅)⋊₂C₂ = D₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):2C2	320,783
(C₂×D₄×D₅)⋊₃C₂ = D₄×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):3C2	320,1221
(C₂×D₄×D₅)⋊₄C₂ = D₄⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):4C2	320,1226
(C₂×D₄×D₅)⋊₅C₂ = D₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40		(C2xD4xD5):5C2	320,1260
(C₂×D₄×D₅)⋊₆C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):6C2	320,1261
(C₂×D₄×D₅)⋊₇C₂ = C₂⁴⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):7C2	320,1262
(C₂×D₄×D₅)⋊₈C₂ = D₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):8C2	320,1276
(C₂×D₄×D₅)⋊₉C₂ = C₁₀.₃₇2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):9C2	320,1277
(C₂×D₄×D₅)⋊₁₀C₂ = C₁₀.₃₈2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):10C2	320,1279
(C₂×D₄×D₅)⋊₁₁C₂ = D₂₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):11C2	320,1281
(C₂×D₄×D₅)⋊₁₂C₂ = C₁₀.₄₀2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):12C2	320,1282
(C₂×D₄×D₅)⋊₁₃C₂ = D₂₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):13C2	320,1284
(C₂×D₄×D₅)⋊₁₄C₂ = C₁₀.₁₂₀2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):14C2	320,1325
(C₂×D₄×D₅)⋊₁₅C₂ = C₁₀.₁₂₁2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):15C2	320,1326
(C₂×D₄×D₅)⋊₁₆C₂ = C₄²⋊₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):16C2	320,1346
(C₂×D₄×D₅)⋊₁₇C₂ = D₂₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):17C2	320,1348
(C₂×D₄×D₅)⋊₁₈C₂ = D₅×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):18C2	320,1386
(C₂×D₄×D₅)⋊₁₉C₂ = C₄²⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):19C2	320,1387
(C₂×D₄×D₅)⋊₂₀C₂ = D₂₀⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):20C2	320,1389
(C₂×D₄×D₅)⋊₂₁C₂ = C₂×D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):21C2	320,1426
(C₂×D₄×D₅)⋊₂₂C₂ = C₂×D₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):22C2	320,1427
(C₂×D₄×D₅)⋊₂₃C₂ = C₂×D₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):23C2	320,1431
(C₂×D₄×D₅)⋊₂₄C₂ = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5):24C2	320,1444
(C₂×D₄×D₅)⋊₂₅C₂ = D₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):25C2	320,1473
(C₂×D₄×D₅)⋊₂₆C₂ = C₁₀.₁₄₅2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):26C2	320,1501
(C₂×D₄×D₅)⋊₂₇C₂ = C₂×D₄⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):27C2	320,1614
(C₂×D₄×D₅)⋊₂₈C₂ = C₂×D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5):28C2	320,1619
(C₂×D₄×D₅)⋊₂₉C₂ = D₅×2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5):29C2	320,1622
(C₂×D₄×D₅)⋊₃₀C₂ = C₂×D₅×C₄○D₄	φ: trivial image	80		(C2xD4xD5):30C2	320,1618

Non-split extensions G=N.Q with N=C₂×D₄×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄×D₅).₁C₂ = D₅×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5).1C2	320,370
(C₂×D₄×D₅).₂C₂ = D₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5).2C2	320,371
(C₂×D₄×D₅).₃C₂ = D₅×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).3C2	320,396
(C₂×D₄×D₅).₄C₂ = (D₄×D₅)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).4C2	320,397
(C₂×D₄×D₅).₅C₂ = D₄.₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).5C2	320,403
(C₂×D₄×D₅).₆C₂ = D₁₀⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).6C2	320,796
(C₂×D₄×D₅).₇C₂ = (C₂×D₄)⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5).7C2	320,1108
(C₂×D₄×D₅).₈C₂ = (C₂×F₅)⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40		(C2xD4xD5).8C2	320,1117
(C₂×D₄×D₅).₉C₂ = C₄²⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).9C2	320,1217
(C₂×D₄×D₅).₁₀C₂ = D₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).10C2	320,1324
(C₂×D₄×D₅).₁₁C₂ = D₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).11C2	320,1345
(C₂×D₄×D₅).₁₂C₂ = C₂×D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).12C2	320,1430
(C₂×D₄×D₅).₁₃C₂ = C₂×D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).13C2	320,1104
(C₂×D₄×D₅).₁₄C₂ = (D₄×C₁₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5).14C2	320,1105
(C₂×D₄×D₅).₁₅C₂ = D₅⋊(C₄.D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5).15C2	320,1116
(C₂×D₄×D₅).₁₆C₂ = C₂.(D₄×F₅)	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	80		(C2xD4xD5).16C2	320,1118
(C₂×D₄×D₅).₁₇C₂ = C₂×D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40		(C2xD4xD5).17C2	320,1595
(C₂×D₄×D₅).₁₈C₂ = D₁₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₅	40	8+	(C2xD4xD5).18C2	320,1596
(C₂×D₄×D₅).₁₉C₂ = C₄×D₄×D₅	φ: trivial image	80		(C2xD4xD5).19C2	320,1216

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Extensions 1→N→G→Q→1 with N=C2×D4×D5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂×D₄×D₅ and Q=C₂