Extensions 1→N→G→Q→1 with N=C₂³×D₅ and Q=C₂²

Direct product G=N×Q with N=C₂³×D₅ and Q=C₂²

		d	ρ	Label	ID
D₅×C₂⁵		160		D5xC2^5	320,1639

Semidirect products G=N:Q with N=C₂³×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₅)⋊₁C₂² = C₂³⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5):1C2^2	320,368
(C₂³×D₅)⋊₂C₂² = 2₊¹⁺⁴⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5):2C2^2	320,871
(C₂³×D₅)⋊₃C₂² = C₂×C₂²⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):3C2^2	320,1159
(C₂³×D₅)⋊₄C₂² = C₂³⋊₃D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):4C2^2	320,1165
(C₂³×D₅)⋊₅C₂² = D₄×D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):5C2^2	320,1221
(C₂³×D₅)⋊₆C₂² = C₂⁴⋊₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):6C2^2	320,1261
(C₂³×D₅)⋊₇C₂² = C₂⁴⋊₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):7C2^2	320,1262
(C₂³×D₅)⋊₈C₂² = C₂⁴⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):8C2^2	320,1266
(C₂³×D₅)⋊₉C₂² = C₁₀.₃₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):9C2^2	320,1277
(C₂³×D₅)⋊₁₀C₂² = D₂₀⋊₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):10C2^2	320,1281
(C₂³×D₅)⋊₁₁C₂² = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):11C2^2	320,1325
(C₂³×D₅)⋊₁₂C₂² = C₄²⋊₂₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):12C2^2	320,1355
(C₂³×D₅)⋊₁₃C₂² = D₂₀⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):13C2^2	320,1389
(C₂³×D₅)⋊₁₄C₂² = D₄×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):14C2^2	320,1473
(C₂³×D₅)⋊₁₅C₂² = C₂⁴⋊₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):15C2^2	320,1476
(C₂³×D₅)⋊₁₆C₂² = C₂×C₂⁴⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):16C2^2	320,1512
(C₂³×D₅)⋊₁₇C₂² = C₂×D₄⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):17C2^2	320,1614
(C₂³×D₅)⋊₁₈C₂² = C₂×D₄⋊₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5):18C2^2	320,1619
(C₂³×D₅)⋊₁₉C₂² = D₅×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5):19C2^2	320,1622
(C₂³×D₅)⋊₂₀C₂² = D₅×C₂²≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5):20C2^2	320,1260
(C₂³×D₅)⋊₂₁C₂² = C₂×C₂³⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5):21C2^2	320,1471
(C₂³×D₅)⋊₂₂C₂² = C₂³×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5):22C2^2	320,1610
(C₂³×D₅)⋊₂₃C₂² = C₂²×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5):23C2^2	320,1612
(C₂³×D₅)⋊₂₄C₂² = C₂³×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5):24C2^2	320,1627

Non-split extensions G=N.Q with N=C₂³×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₅).₁C₂² = C₁₀.₅₄(C₄×D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).1C2^2	320,296
(C₂³×D₅).₂C₂² = C₁₀.₅₅(C₄×D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).2C2^2	320,297
(C₂³×D₅).₃C₂² = (C₂×C₂₀)⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).3C2^2	320,298
(C₂³×D₅).₄C₂² = (C₂×Dic₅)⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).4C2^2	320,299
(C₂³×D₅).₅C₂² = (C₂×C₄).₂₀D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).5C2^2	320,300
(C₂³×D₅).₆C₂² = (C₂×C₄).₂₁D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).6C2^2	320,301
(C₂³×D₅).₇C₂² = C₁₀.(C₄⋊D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).7C2^2	320,302
(C₂³×D₅).₈C₂² = (C₂²×D₅).Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).8C2^2	320,303
(C₂³×D₅).₉C₂² = (C₂×C₂₀).₃₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).9C2^2	320,304
(C₂³×D₅).₁₀C₂² = D₅×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5).10C2^2	320,370
(C₂³×D₅).₁₁C₂² = (C₂×C₄)⋊₆D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).11C2^2	320,566
(C₂³×D₅).₁₂C₂² = (C₂×C₄²)⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).12C2^2	320,567
(C₂³×D₅).₁₃C₂² = C₂⁴.₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).13C2^2	320,584
(C₂³×D₅).₁₄C₂² = C₂³.₄₅D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).14C2^2	320,585
(C₂³×D₅).₁₅C₂² = C₂⁴.₁₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).15C2^2	320,586
(C₂³×D₅).₁₆C₂² = C₂³⋊₂D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).16C2^2	320,587
(C₂³×D₅).₁₇C₂² = C₂⁴.₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).17C2^2	320,588
(C₂³×D₅).₁₈C₂² = (C₂×D₂₀)⋊₂₂C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).18C2^2	320,615
(C₂³×D₅).₁₉C₂² = C₁₀.₉₀(C₄×D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).19C2^2	320,617
(C₂³×D₅).₂₀C₂² = (C₂×C₄)⋊₃D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).20C2^2	320,618
(C₂³×D₅).₂₁C₂² = (C₂×C₂₀).₂₈₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).21C2^2	320,619
(C₂³×D₅).₂₂C₂² = (C₂×C₂₀).₂₉₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).22C2^2	320,620
(C₂³×D₅).₂₃C₂² = (C₂×C₂₀).₅₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).23C2^2	320,621
(C₂³×D₅).₂₄C₂² = C₂⁴.₆₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).24C2^2	320,840
(C₂³×D₅).₂₅C₂² = C₂⁴.₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).25C2^2	320,850
(C₂³×D₅).₂₆C₂² = (C₂²×D₅)⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).26C2^2	320,858
(C₂³×D₅).₂₇C₂² = C₂×C₂₀⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).27C2^2	320,1147
(C₂³×D₅).₂₈C₂² = C₂×C₄.D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).28C2^2	320,1148
(C₂³×D₅).₂₉C₂² = C₂×C₄²⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).29C2^2	320,1150
(C₂³×D₅).₃₀C₂² = C₂⁴.₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).30C2^2	320,1158
(C₂³×D₅).₃₁C₂² = C₂⁴.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).31C2^2	320,1162
(C₂³×D₅).₃₂C₂² = C₂×Dic₅.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).32C2^2	320,1163
(C₂³×D₅).₃₃C₂² = C₂×C₂².D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).33C2^2	320,1164
(C₂³×D₅).₃₄C₂² = C₂×C₄⋊C₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).34C2^2	320,1184
(C₂³×D₅).₃₅C₂² = C₄²⋊₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).35C2^2	320,1193
(C₂³×D₅).₃₆C₂² = C₄²⋊₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).36C2^2	320,1197
(C₂³×D₅).₃₇C₂² = C₄²⋊₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).37C2^2	320,1199
(C₂³×D₅).₃₈C₂² = C₄²⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).38C2^2	320,1217
(C₂³×D₅).₃₉C₂² = D₂₀⋊₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).39C2^2	320,1222
(C₂³×D₅).₄₀C₂² = D₄⋊₅D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).40C2^2	320,1226
(C₂³×D₅).₄₁C₂² = C₄²⋊₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).41C2^2	320,1228
(C₂³×D₅).₄₂C₂² = C₄²⋊₁₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).42C2^2	320,1232
(C₂³×D₅).₄₃C₂² = C₂⁴.₃₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).43C2^2	320,1263
(C₂³×D₅).₄₄C₂² = C₂⁴.₃₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).44C2^2	320,1264
(C₂³×D₅).₄₅C₂² = D₅×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).45C2^2	320,1276
(C₂³×D₅).₄₆C₂² = C₁₀.₃₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).46C2^2	320,1279
(C₂³×D₅).₄₇C₂² = C₁₀.₄₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).47C2^2	320,1282
(C₂³×D₅).₄₈C₂² = D₂₀⋊₂₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).48C2^2	320,1284
(C₂³×D₅).₄₉C₂² = C₁₀.₄₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).49C2^2	320,1285
(C₂³×D₅).₅₀C₂² = C₁₀.₄₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).50C2^2	320,1289
(C₂³×D₅).₅₁C₂² = C₁₀.₄₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).51C2^2	320,1292
(C₂³×D₅).₅₂C₂² = D₂₀⋊₂₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).52C2^2	320,1302
(C₂³×D₅).₅₃C₂² = C₁₀.₅₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).53C2^2	320,1306
(C₂³×D₅).₅₄C₂² = C₁₀.₅₃2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).54C2^2	320,1309
(C₂³×D₅).₅₅C₂² = C₁₀.₅₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).55C2^2	320,1316
(C₂³×D₅).₅₆C₂² = D₅×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).56C2^2	320,1324
(C₂³×D₅).₅₇C₂² = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).57C2^2	320,1326
(C₂³×D₅).₅₈C₂² = C₁₀.₆₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).58C2^2	320,1329
(C₂³×D₅).₅₉C₂² = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).59C2^2	320,1330
(C₂³×D₅).₆₀C₂² = C₁₀.₆₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).60C2^2	320,1331
(C₂³×D₅).₆₁C₂² = C₁₀.₆₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).61C2^2	320,1338
(C₂³×D₅).₆₂C₂² = D₅×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).62C2^2	320,1345
(C₂³×D₅).₆₃C₂² = C₄²⋊₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).63C2^2	320,1346
(C₂³×D₅).₆₄C₂² = D₂₀⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).64C2^2	320,1348
(C₂³×D₅).₆₅C₂² = C₄²⋊₂₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).65C2^2	320,1350
(C₂³×D₅).₆₆C₂² = C₄²⋊₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).66C2^2	320,1351
(C₂³×D₅).₆₇C₂² = D₅×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).67C2^2	320,1375
(C₂³×D₅).₆₈C₂² = C₄²⋊₂₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).68C2^2	320,1376
(C₂³×D₅).₆₉C₂² = C₄²⋊₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).69C2^2	320,1377
(C₂³×D₅).₇₀C₂² = C₄²⋊₂₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).70C2^2	320,1383
(C₂³×D₅).₇₁C₂² = D₅×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).71C2^2	320,1386
(C₂³×D₅).₇₂C₂² = C₄²⋊₂₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).72C2^2	320,1387
(C₂³×D₅).₇₃C₂² = C₄²⋊₂₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).73C2^2	320,1392
(C₂³×D₅).₇₄C₂² = C₂×C₂³.₂₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).74C2^2	320,1461
(C₂³×D₅).₇₅C₂² = C₂×C₂₀⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).75C2^2	320,1462
(C₂³×D₅).₇₆C₂² = C₂×Dic₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).76C2^2	320,1474
(C₂³×D₅).₇₇C₂² = C₂×C₂₀⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).77C2^2	320,1475
(C₂³×D₅).₇₈C₂² = C₂×C₂₀.₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	160		(C2^3xD5).78C2^2	320,1486
(C₂³×D₅).₇₉C₂² = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).79C2^2	320,1501
(C₂³×D₅).₈₀C₂² = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).80C2^2	320,1502
(C₂³×D₅).₈₁C₂² = (C₂²×F₅)⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5).81C2^2	320,204
(C₂³×D₅).₈₂C₂² = C₂²⋊F₅⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).82C2^2	320,255
(C₂³×D₅).₈₃C₂² = C₂²⋊C₄×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40		(C2^3xD5).83C2^2	320,1036
(C₂³×D₅).₈₄C₂² = D₁₀⋊(C₄⋊C₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40		(C2^3xD5).84C2^2	320,1037
(C₂³×D₅).₈₅C₂² = C₁₀.(C₄×D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).85C2^2	320,1038
(C₂³×D₅).₈₆C₂² = C₂×D₁₀.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).86C2^2	320,1082
(C₂³×D₅).₈₇C₂² = (C₂×D₄)⋊₇F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5).87C2^2	320,1108
(C₂³×D₅).₈₈C₂² = (C₂×F₅)⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40		(C2^3xD5).88C2^2	320,1117
(C₂³×D₅).₈₉C₂² = C₂.(D₄×F₅)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).89C2^2	320,1118
(C₂³×D₅).₉₀C₂² = C₂×C₂³⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	80		(C2^3xD5).90C2^2	320,1134
(C₂³×D₅).₉₁C₂² = C₂×D₄×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40		(C2^3xD5).91C2^2	320,1595
(C₂³×D₅).₉₂C₂² = D₁₀.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³×D₅	40	8+	(C2^3xD5).92C2^2	320,1596
(C₂³×D₅).₉₃C₂² = C₂².₅₈(D₄×D₅)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).93C2^2	320,291
(C₂³×D₅).₉₄C₂² = (C₂×C₄)⋊₉D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).94C2^2	320,292
(C₂³×D₅).₉₅C₂² = D₁₀⋊₂C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).95C2^2	320,293
(C₂³×D₅).₉₆C₂² = D₁₀⋊₂(C₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).96C2^2	320,294
(C₂³×D₅).₉₇C₂² = D₁₀⋊₃(C₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).97C2^2	320,295
(C₂³×D₅).₉₈C₂² = C₄×D₁₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).98C2^2	320,565
(C₂³×D₅).₉₉C₂² = C₂⁴.₄₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).99C2^2	320,582
(C₂³×D₅).₁₀₀C₂² = C₂⁴.₁₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).100C2^2	320,583
(C₂³×D₅).₁₀₁C₂² = D₁₀⋊₄(C₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).101C2^2	320,614
(C₂³×D₅).₁₀₂C₂² = D₁₀⋊₅(C₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).102C2^2	320,616
(C₂³×D₅).₁₀₃C₂² = C₂×C₄²⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).103C2^2	320,1144
(C₂³×D₅).₁₀₄C₂² = C₂×C₄×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).104C2^2	320,1145
(C₂³×D₅).₁₀₅C₂² = C₂×D₅×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).105C2^2	320,1156
(C₂³×D₅).₁₀₆C₂² = C₂×Dic₅⋊₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).106C2^2	320,1157
(C₂³×D₅).₁₀₇C₂² = C₂×D₁₀.₁₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).107C2^2	320,1160
(C₂³×D₅).₁₀₈C₂² = C₂×D₁₀⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).108C2^2	320,1161
(C₂³×D₅).₁₀₉C₂² = C₂×C₄⋊C₄⋊₇D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).109C2^2	320,1174
(C₂³×D₅).₁₁₀C₂² = C₂×D₂₀⋊₈C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).110C2^2	320,1175
(C₂³×D₅).₁₁₁C₂² = C₂×D₁₀.₁₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).111C2^2	320,1177
(C₂³×D₅).₁₁₂C₂² = C₂×C₄⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).112C2^2	320,1178
(C₂³×D₅).₁₁₃C₂² = C₂×D₁₀⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).113C2^2	320,1180
(C₂³×D₅).₁₁₄C₂² = C₂×D₁₀⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).114C2^2	320,1181
(C₂³×D₅).₁₁₅C₂² = D₅×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).115C2^2	320,1192
(C₂³×D₅).₁₁₆C₂² = C₄²⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).116C2^2	320,1196
(C₂³×D₅).₁₁₇C₂² = C₄×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).117C2^2	320,1216
(C₂³×D₅).₁₁₈C₂² = C₄²⋊₁₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).118C2^2	320,1219
(C₂³×D₅).₁₁₉C₂² = C₄⋊C₄⋊₂₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).119C2^2	320,1278
(C₂³×D₅).₁₂₀C₂² = D₅×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).120C2^2	320,1298
(C₂³×D₅).₁₂₁C₂² = C₄⋊C₄⋊₂₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).121C2^2	320,1299
(C₂³×D₅).₁₂₂C₂² = C₄⋊C₄⋊₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).122C2^2	320,1328
(C₂³×D₅).₁₂₃C₂² = C₂²×D₁₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).123C2^2	320,1459
(C₂³×D₅).₁₂₄C₂² = C₂×C₄×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).124C2^2	320,1460
(C₂³×D₅).₁₂₅C₂² = C₂×C₂₀⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).125C2^2	320,1472
(C₂³×D₅).₁₂₆C₂² = C₂×D₁₀⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).126C2^2	320,1485
(C₂³×D₅).₁₂₇C₂² = (C₂×C₂₀)⋊₁₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).127C2^2	320,1500
(C₂³×D₅).₁₂₈C₂² = C₂²×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).128C2^2	320,1611
(C₂³×D₅).₁₂₉C₂² = C₂²×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).129C2^2	320,1613
(C₂³×D₅).₁₃₀C₂² = C₂²×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	160		(C2^3xD5).130C2^2	320,1616
(C₂³×D₅).₁₃₁C₂² = C₂×D₅×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).131C2^2	320,1618
(C₂³×D₅).₁₃₂C₂² = C₂×D₁₀.₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).132C2^2	320,1100
(C₂³×D₅).₁₃₃C₂² = C₄×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).133C2^2	320,1101
(C₂³×D₅).₁₃₄C₂² = (C₂²×C₄)⋊₇F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).134C2^2	320,1102
(C₂³×D₅).₁₃₅C₂² = D₁₀⋊₆(C₄⋊C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).135C2^2	320,1103
(C₂³×D₅).₁₃₆C₂² = C₂⁴⋊₄F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5).136C2^2	320,1138
(C₂³×D₅).₁₃₇C₂² = C₂²×C₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).137C2^2	320,1590
(C₂³×D₅).₁₃₈C₂² = C₂²×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).138C2^2	320,1591
(C₂³×D₅).₁₃₉C₂² = C₂×D₁₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).139C2^2	320,1592
(C₂³×D₅).₁₄₀C₂² = C₂²×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).140C2^2	320,1607
(C₂³×D₅).₁₄₁C₂² = C₂⁴×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).141C2^2	320,1638
(C₂³×D₅).₁₄₂C₂² = D₅×C₂.C₄²	φ: trivial image	160		(C2^3xD5).142C2^2	320,290
(C₂³×D₅).₁₄₃C₂² = D₅×C₂×C₄²	φ: trivial image	160		(C2^3xD5).143C2^2	320,1143
(C₂³×D₅).₁₄₄C₂² = C₂×D₅×C₄⋊C₄	φ: trivial image	160		(C2^3xD5).144C2^2	320,1173
(C₂³×D₅).₁₄₅C₂² = D₅×C₂³×C₄	φ: trivial image	160		(C2^3xD5).145C2^2	320,1609
(C₂³×D₅).₁₄₆C₂² = C₂²×Q₈×D₅	φ: trivial image	160		(C2^3xD5).146C2^2	320,1615

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Extensions 1→N→G→Q→1 with N=C23×D5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³×D₅ and Q=C₂²