Extensions 1→N→G→Q→1 with N=C₅×C₃⋊C₈ and Q=C₂²

Direct product G=N×Q with N=C₅×C₃⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂×C₁₀×C₃⋊C₈		480		C2xC10xC3:C8	480,799

Semidirect products G=N:Q with N=C₅×C₃⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊C₈)⋊₁C₂² = D₅×D₄⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):1C2^2	480,553
(C₅×C₃⋊C₈)⋊₂C₂² = Dic₁₀⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):2C2^2	480,554
(C₅×C₃⋊C₈)⋊₃C₂² = D₁₅⋊D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):3C2^2	480,557
(C₅×C₃⋊C₈)⋊₄C₂² = D₃₀.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8-	(C5xC3:C8):4C2^2	480,558
(C₅×C₃⋊C₈)⋊₅C₂² = D₅×D₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8-	(C5xC3:C8):5C2^2	480,559
(C₅×C₃⋊C₈)⋊₆C₂² = Dic₁₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):6C2^2	480,563
(C₅×C₃⋊C₈)⋊₇C₂² = D₁₂⋊₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8-	(C5xC3:C8):7C2^2	480,565
(C₅×C₃⋊C₈)⋊₈C₂² = D₂₀.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):8C2^2	480,567
(C₅×C₃⋊C₈)⋊₉C₂² = Dic₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):9C2^2	480,574
(C₅×C₃⋊C₈)⋊₁₀C₂² = D₁₂⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):10C2^2	480,576
(C₅×C₃⋊C₈)⋊₁₁C₂² = D₅×Q₈⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):11C2^2	480,577
(C₅×C₃⋊C₈)⋊₁₂C₂² = D₂₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):12C2^2	480,578
(C₅×C₃⋊C₈)⋊₁₃C₂² = D₁₅⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8-	(C5xC3:C8):13C2^2	480,581
(C₅×C₃⋊C₈)⋊₁₄C₂² = D₆₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	8+	(C5xC3:C8):14C2^2	480,582
(C₅×C₃⋊C₈)⋊₁₅C₂² = C₄₀⋊₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4+	(C5xC3:C8):15C2^2	480,329
(C₅×C₃⋊C₈)⋊₁₆C₂² = D₄₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):16C2^2	480,330
(C₅×C₃⋊C₈)⋊₁₇C₂² = D₂₀⋊₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4+	(C5xC3:C8):17C2^2	480,377
(C₅×C₃⋊C₈)⋊₁₈C₂² = D₆₀⋊₃₀C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):18C2^2	480,388
(C₅×C₃⋊C₈)⋊₁₉C₂² = D₅×C₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):19C2^2	480,320
(C₅×C₃⋊C₈)⋊₂₀C₂² = C₄₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):20C2^2	480,322
(C₅×C₃⋊C₈)⋊₂₁C₂² = D₅×C₄.Dic₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):21C2^2	480,358
(C₅×C₃⋊C₈)⋊₂₂C₂² = D₁₅⋊₄M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):22C2^2	480,368
(C₅×C₃⋊C₈)⋊₂₃C₂² = C₅×D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):23C2^2	480,790
(C₅×C₃⋊C₈)⋊₂₄C₂² = C₅×Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):24C2^2	480,793
(C₅×C₃⋊C₈)⋊₂₅C₂² = C₅×D₁₂⋊₆C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):25C2^2	480,811
(C₅×C₃⋊C₈)⋊₂₆C₂² = C₅×D₄⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):26C2^2	480,828
(C₅×C₃⋊C₈)⋊₂₇C₂² = S₃×C₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):27C2^2	480,327
(C₅×C₃⋊C₈)⋊₂₈C₂² = S₃×D₄₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4+	(C5xC3:C8):28C2^2	480,328
(C₅×C₃⋊C₈)⋊₂₉C₂² = C₂×C₃⋊D₄₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):29C2^2	480,376
(C₅×C₃⋊C₈)⋊₃₀C₂² = C₂×C₆.D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):30C2^2	480,386
(C₅×C₃⋊C₈)⋊₃₁C₂² = C₂×C₁₅⋊SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):31C2^2	480,390
(C₅×C₃⋊C₈)⋊₃₂C₂² = S₃×C₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):32C2^2	480,319
(C₅×C₃⋊C₈)⋊₃₃C₂² = S₃×C₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):33C2^2	480,321
(C₅×C₃⋊C₈)⋊₃₄C₂² = C₂×D₅×C₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):34C2^2	480,357
(C₅×C₃⋊C₈)⋊₃₅C₂² = C₂×D₁₅⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):35C2^2	480,365
(C₅×C₃⋊C₈)⋊₃₆C₂² = C₂×C₂₀.₃₂D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):36C2^2	480,369
(C₅×C₃⋊C₈)⋊₃₇C₂² = C₂×D₃₀.₅C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):37C2^2	480,371
(C₅×C₃⋊C₈)⋊₃₈C₂² = C₅×S₃×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):38C2^2	480,789
(C₅×C₃⋊C₈)⋊₃₉C₂² = C₅×S₃×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):39C2^2	480,792
(C₅×C₃⋊C₈)⋊₄₀C₂² = C₁₀×D₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):40C2^2	480,810
(C₅×C₃⋊C₈)⋊₄₁C₂² = C₁₀×D₄.S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):41C2^2	480,812
(C₅×C₃⋊C₈)⋊₄₂C₂² = C₁₀×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):42C2^2	480,820
(C₅×C₃⋊C₈)⋊₄₃C₂² = C₁₀×C₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):43C2^2	480,779
(C₅×C₃⋊C₈)⋊₄₄C₂² = C₅×S₃×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):44C2^2	480,785
(C₅×C₃⋊C₈)⋊₄₅C₂² = C₁₀×C₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240		(C5xC3:C8):45C2^2	480,800
(C₅×C₃⋊C₈)⋊₄₆C₂² = S₃×C₂×C₄₀	φ: trivial image	240		(C5xC3:C8):46C2^2	480,778

Non-split extensions G=N.Q with N=C₅×C₃⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊C₈).₁C₂² = C₆₀.₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).1C2^2	480,560
(C₅×C₃⋊C₈).₂C₂² = D₃₀.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).2C2^2	480,564
(C₅×C₃⋊C₈).₃C₂² = D₁₂.₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).3C2^2	480,566
(C₅×C₃⋊C₈).₄C₂² = C₆₀.₁₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8+	(C5xC3:C8).4C2^2	480,568
(C₅×C₃⋊C₈).₅C₂² = D₂₀.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).5C2^2	480,573
(C₅×C₃⋊C₈).₆C₂² = D₃₀.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).6C2^2	480,575
(C₅×C₃⋊C₈).₇C₂² = D₅×C₃⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).7C2^2	480,583
(C₅×C₃⋊C₈).₈C₂² = D₂₀.₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).8C2^2	480,584
(C₅×C₃⋊C₈).₉C₂² = D₁₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).9C2^2	480,587
(C₅×C₃⋊C₈).₁₀C₂² = C₆₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8+	(C5xC3:C8).10C2^2	480,588
(C₅×C₃⋊C₈).₁₁C₂² = D₁₂.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).11C2^2	480,589
(C₅×C₃⋊C₈).₁₂C₂² = D₂₀.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).12C2^2	480,590
(C₅×C₃⋊C₈).₁₃C₂² = C₆₀.₃₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8+	(C5xC3:C8).13C2^2	480,591
(C₅×C₃⋊C₈).₁₄C₂² = D₂₀.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8+	(C5xC3:C8).14C2^2	480,592
(C₅×C₃⋊C₈).₁₅C₂² = D₂₀.₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8+	(C5xC3:C8).15C2^2	480,597
(C₅×C₃⋊C₈).₁₆C₂² = D₂₀.₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).16C2^2	480,598
(C₅×C₃⋊C₈).₁₇C₂² = D₁₂.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8+	(C5xC3:C8).17C2^2	480,599
(C₅×C₃⋊C₈).₁₈C₂² = D₃₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	8-	(C5xC3:C8).18C2^2	480,600
(C₅×C₃⋊C₈).₁₉C₂² = Dic₂₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).19C2^2	480,339
(C₅×C₃⋊C₈).₂₀C₂² = C₄₀.₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4-	(C5xC3:C8).20C2^2	480,350
(C₅×C₃⋊C₈).₂₁C₂² = C₆₀.₆₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4-	(C5xC3:C8).21C2^2	480,389
(C₅×C₃⋊C₈).₂₂C₂² = C₁₂.D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).22C2^2	480,391
(C₅×C₃⋊C₈).₂₃C₂² = C₄₀.₃₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).23C2^2	480,342
(C₅×C₃⋊C₈).₂₄C₂² = C₄₀.₃₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).24C2^2	480,344
(C₅×C₃⋊C₈).₂₅C₂² = D₂₀.₂Dic₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).25C2^2	480,360
(C₅×C₃⋊C₈).₂₆C₂² = D₆₀.₅C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).26C2^2	480,366
(C₅×C₃⋊C₈).₂₇C₂² = C₅×D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).27C2^2	480,794
(C₅×C₃⋊C₈).₂₈C₂² = C₅×Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).28C2^2	480,797
(C₅×C₃⋊C₈).₂₉C₂² = C₅×Q₈.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).29C2^2	480,821
(C₅×C₃⋊C₈).₃₀C₂² = C₅×Q₈.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).30C2^2	480,830
(C₅×C₃⋊C₈).₃₁C₂² = S₃×Dic₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4-	(C5xC3:C8).31C2^2	480,338
(C₅×C₃⋊C₈).₃₂C₂² = D₆.₁D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).32C2^2	480,348
(C₅×C₃⋊C₈).₃₃C₂² = D₄₀⋊₇S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4-	(C5xC3:C8).33C2^2	480,349
(C₅×C₃⋊C₈).₃₄C₂² = D₁₂₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4+	(C5xC3:C8).34C2^2	480,351
(C₅×C₃⋊C₈).₃₅C₂² = D₂₀.₃₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).35C2^2	480,387
(C₅×C₃⋊C₈).₃₆C₂² = C₂×C₃⋊Dic₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	480		(C5xC3:C8).36C2^2	480,395
(C₅×C₃⋊C₈).₃₇C₂² = C₄₀.₅₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).37C2^2	480,341
(C₅×C₃⋊C₈).₃₈C₂² = C₄₀.₅₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).38C2^2	480,343
(C₅×C₃⋊C₈).₃₉C₂² = D₂₀.₃Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).39C2^2	480,359
(C₅×C₃⋊C₈).₄₀C₂² = D₆₀.₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).40C2^2	480,367
(C₅×C₃⋊C₈).₄₁C₂² = C₅×D₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).41C2^2	480,791
(C₅×C₃⋊C₈).₄₂C₂² = C₅×Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).42C2^2	480,795
(C₅×C₃⋊C₈).₄₃C₂² = C₅×S₃×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).43C2^2	480,796
(C₅×C₃⋊C₈).₄₄C₂² = C₅×D₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).44C2^2	480,798
(C₅×C₃⋊C₈).₄₅C₂² = C₁₀×C₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	480		(C5xC3:C8).45C2^2	480,822
(C₅×C₃⋊C₈).₄₆C₂² = C₅×Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).46C2^2	480,829
(C₅×C₃⋊C₈).₄₇C₂² = C₅×C₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	2	(C5xC3:C8).47C2^2	480,780
(C₅×C₃⋊C₈).₄₈C₂² = C₅×D₁₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).48C2^2	480,786
(C₅×C₃⋊C₈).₄₉C₂² = C₅×D₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).49C2^2	480,827

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Extensions 1→N→G→Q→1 with N=C5×C3⋊C8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×C₃⋊C₈ and Q=C₂²