Extensions 1→N→G→Q→1 with N=C₈×D₅ and Q=C₂²

Direct product G=N×Q with N=C₈×D₅ and Q=C₂²

		d	ρ	Label	ID
D₅×C₂²×C₈		160		D5xC2^2xC8	320,1408

Semidirect products G=N:Q with N=C₈×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅)⋊₁C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8+	(C8xD5):1C2^2	320,1444
(C₈×D₅)⋊₂C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5):2C2^2	320,1445
(C₈×D₅)⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5):3C2^2	320,1446
(C₈×D₅)⋊₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5):4C2^2	320,1447
(C₈×D₅)⋊₅C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5):5C2^2	320,1449
(C₈×D₅)⋊₆C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5):6C2^2	320,1450
(C₈×D₅)⋊₇C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5):7C2^2	320,1429
(C₈×D₅)⋊₈C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4+	(C8xD5):8C2^2	320,1441
(C₈×D₅)⋊₉C₂² = D₂₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5):9C2^2	320,1434
(C₈×D₅)⋊₁₀C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5):10C2^2	320,1442
(C₈×D₅)⋊₁₁C₂² = C₄₀.₄₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5):11C2^2	320,1417
(C₈×D₅)⋊₁₂C₂² = C₂₀.₇₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5):12C2^2	320,1422
(C₈×D₅)⋊₁₃C₂² = C₂×D₅×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):13C2^2	320,1426
(C₈×D₅)⋊₁₄C₂² = C₂×D₈⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):14C2^2	320,1428
(C₈×D₅)⋊₁₅C₂² = C₂×Q₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):15C2^2	320,1437
(C₈×D₅)⋊₁₆C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5):16C2^2	320,1439
(C₈×D₅)⋊₁₇C₂² = C₂×D₅×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):17C2^2	320,1430
(C₈×D₅)⋊₁₈C₂² = C₂×SD₁₆⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):18C2^2	320,1433
(C₈×D₅)⋊₁₉C₂² = C₂×D₂₀.₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):19C2^2	320,1410
(C₈×D₅)⋊₂₀C₂² = D₅×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5):20C2^2	320,1421
(C₈×D₅)⋊₂₁C₂² = C₂×D₅×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):21C2^2	320,1415
(C₈×D₅)⋊₂₂C₂² = C₂×D₂₀.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):22C2^2	320,1416

Non-split extensions G=N.Q with N=C₈×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅).₁C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).1C2^2	320,1448
(C₈×D₅).₂C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	8-	(C8xD5).2C2^2	320,1451
(C₈×D₅).₃C₂² = D₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5).3C2^2	320,538
(C₈×D₅).₄C₂² = C₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4+	(C8xD5).4C2^2	320,541
(C₈×D₅).₅C₂² = SD₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	4-	(C8xD5).5C2^2	320,542
(C₈×D₅).₆C₂² = Q₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	4	(C8xD5).6C2^2	320,545
(C₈×D₅).₇C₂² = D₂₀.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	4	(C8xD5).7C2^2	320,1438
(C₈×D₅).₈C₂² = D₂₀.₄₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	4-	(C8xD5).8C2^2	320,1443
(C₈×D₅).₉C₂² = D₁₀.D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).9C2^2	320,241
(C₈×D₅).₁₀C₂² = D₄₀.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5).10C2^2	320,244
(C₈×D₅).₁₁C₂² = D₄₀⋊₁C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5).11C2^2	320,245
(C₈×D₅).₁₂C₂² = Dic₂₀.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	8-	(C8xD5).12C2^2	320,248
(C₈×D₅).₁₃C₂² = D₄₀⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8+	(C8xD5).13C2^2	320,1069
(C₈×D₅).₁₄C₂² = D₈⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).14C2^2	320,1071
(C₈×D₅).₁₅C₂² = Dic₂₀⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).15C2^2	320,1077
(C₈×D₅).₁₆C₂² = Q₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5).16C2^2	320,1079
(C₈×D₅).₁₇C₂² = D₅.D₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5).17C2^2	320,242
(C₈×D₅).₁₈C₂² = D₈.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	8-	(C8xD5).18C2^2	320,243
(C₈×D₅).₁₉C₂² = D₅.Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).19C2^2	320,246
(C₈×D₅).₂₀C₂² = Q₁₆.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	8+	(C8xD5).20C2^2	320,247
(C₈×D₅).₂₁C₂² = D₈×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8+	(C8xD5).21C2^2	320,1068
(C₈×D₅).₂₂C₂² = D₈⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).22C2^2	320,1070
(C₈×D₅).₂₃C₂² = Q₁₆×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8-	(C8xD5).23C2^2	320,1076
(C₈×D₅).₂₄C₂² = Q₁₆⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8+	(C8xD5).24C2^2	320,1078
(C₈×D₅).₂₅C₂² = SD₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8	(C8xD5).25C2^2	320,1073
(C₈×D₅).₂₆C₂² = SD₁₆⋊₂F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8	(C8xD5).26C2^2	320,1075
(C₈×D₅).₂₇C₂² = SD₁₆×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8	(C8xD5).27C2^2	320,1072
(C₈×D₅).₂₈C₂² = SD₁₆⋊₃F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8	(C8xD5).28C2^2	320,1074
(C₈×D₅).₂₉C₂² = M₄(2)⋊₁F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8	(C8xD5).29C2^2	320,1065
(C₈×D₅).₃₀C₂² = M₄(2).₁F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8	(C8xD5).30C2^2	320,1067
(C₈×D₅).₃₁C₂² = C₈₀⋊₄C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5).31C2^2	320,185
(C₈×D₅).₃₂C₂² = C₈₀⋊₅C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5).32C2^2	320,186
(C₈×D₅).₃₃C₂² = C₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5).33C2^2	320,183
(C₈×D₅).₃₄C₂² = C₁₆⋊₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	4	(C8xD5).34C2^2	320,184
(C₈×D₅).₃₅C₂² = Dic₁₀.C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	160	8	(C8xD5).35C2^2	320,1063
(C₈×D₅).₃₆C₂² = M₄(2)×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	40	8	(C8xD5).36C2^2	320,1064
(C₈×D₅).₃₇C₂² = M₄(2)⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₈×D₅	80	8	(C8xD5).37C2^2	320,1066
(C₈×D₅).₃₈C₂² = D₅×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4+	(C8xD5).38C2^2	320,537
(C₈×D₅).₃₉C₂² = D₁₆⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4-	(C8xD5).39C2^2	320,539
(C₈×D₅).₄₀C₂² = D₅×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).40C2^2	320,540
(C₈×D₅).₄₁C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4	(C8xD5).41C2^2	320,543
(C₈×D₅).₄₂C₂² = D₅×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4-	(C8xD5).42C2^2	320,544
(C₈×D₅).₄₃C₂² = D₈₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4+	(C8xD5).43C2^2	320,546
(C₈×D₅).₄₄C₂² = C₂×D₅×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).44C2^2	320,1435
(C₈×D₅).₄₅C₂² = C₂×C₈₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).45C2^2	320,527
(C₈×D₅).₄₆C₂² = D₂₀.₆C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	2	(C8xD5).46C2^2	320,528
(C₈×D₅).₄₇C₂² = D₅×M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).47C2^2	320,533
(C₈×D₅).₄₈C₂² = D₂₀.₅C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4	(C8xD5).48C2^2	320,534
(C₈×D₅).₄₉C₂² = C₈₀⋊₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).49C2^2	320,187
(C₈×D₅).₅₀C₂² = C₈₀⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).50C2^2	320,188
(C₈×D₅).₅₁C₂² = C₁₆.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4	(C8xD5).51C2^2	320,189
(C₈×D₅).₅₂C₂² = C₈₀.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160	4	(C8xD5).52C2^2	320,190
(C₈×D₅).₅₃C₂² = C₂×D₅.D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5).53C2^2	320,1058
(C₈×D₅).₅₄C₂² = (C₂×C₈)⋊₆F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).54C2^2	320,1059
(C₈×D₅).₅₅C₂² = C₂×D₁₀.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).55C2^2	320,1061
(C₈×D₅).₅₆C₂² = C₂×C₄₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5).56C2^2	320,1057
(C₈×D₅).₅₇C₂² = C₂×C₄₀.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).57C2^2	320,1060
(C₈×D₅).₅₈C₂² = (C₈×D₅).C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).58C2^2	320,1062
(C₈×D₅).₅₉C₂² = C₁₆×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).59C2^2	320,181
(C₈×D₅).₆₀C₂² = C₁₆⋊₇F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).60C2^2	320,182
(C₈×D₅).₆₁C₂² = C₂×D₅⋊C₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).61C2^2	320,1051
(C₈×D₅).₆₂C₂² = C₂×C₈.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).62C2^2	320,1052
(C₈×D₅).₆₃C₂² = D₅⋊M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).63C2^2	320,1053
(C₈×D₅).₆₄C₂² = C₂×C₈×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5).64C2^2	320,1054
(C₈×D₅).₆₅C₂² = C₂×C₈⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5).65C2^2	320,1055
(C₈×D₅).₆₆C₂² = C₂₀.₁₂C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).66C2^2	320,1056
(C₈×D₅).₆₇C₂² = D₅×C₂×C₁₆	φ: trivial image	160		(C8xD5).67C2^2	320,526

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Extensions 1→N→G→Q→1 with N=C8×D5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈×D₅ and Q=C₂²