Extensions 1→N→G→Q→1 with N=C₄²:₈C₄ and Q=C₂

Direct product G=NxQ with N=C₄²:₈C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₄²:₈C₄		128		C2xC4^2:8C4	128,1013

Semidirect products G=N:Q with N=C₄²:₈C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²:₈C₄:₁C₂ = C₄².₅₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4:1C2	128,244
C₄²:₈C₄:₂C₂ = C₄².₆₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4:2C2	128,249
C₄²:₈C₄:₃C₂ = C₄².₁₀₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:3C2	128,536
C₄²:₈C₄:₄C₂ = C₄²:₉(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4:4C2	128,592
C₄²:₈C₄:₅C₂ = C₄².₄₃₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:5C2	128,690
C₄²:₈C₄:₆C₂ = C₄².₁₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:6C2	128,693
C₄²:₈C₄:₇C₂ = C₄²:₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4:7C2	128,772
C₄²:₈C₄:₈C₂ = C₄²:₈C₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:8C2	128,805
C₄²:₈C₄:₉C₂ = (C₂xC₈).₁₆₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:9C2	128,824
C₄²:₈C₄:₁₀C₂ = C₂⁴.₁₉₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:10C2	128,1046
C₄²:₈C₄:₁₁C₂ = C₂³.₁₉₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:11C2	128,1049
C₄²:₈C₄:₁₂C₂ = C₂⁴.₅₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:12C2	128,1050
C₄²:₈C₄:₁₃C₂ = C₄²:₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:13C2	128,1060
C₄²:₈C₄:₁₄C₂ = C₂⁴.₂₀₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:14C2	128,1066
C₄²:₈C₄:₁₅C₂ = C₂³.₂₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:15C2	128,1075
C₄²:₈C₄:₁₆C₂ = C₂⁴.₂₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:16C2	128,1078
C₄²:₈C₄:₁₇C₂ = C₂³.₂₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:17C2	128,1081
C₄²:₈C₄:₁₈C₂ = C₂³.₂₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:18C2	128,1084
C₄²:₈C₄:₁₉C₂ = C₂⁴.₂₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:19C2	128,1089
C₄²:₈C₄:₂₀C₂ = C₂³.₂₆₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:20C2	128,1111
C₄²:₈C₄:₂₁C₂ = C₂⁴.₂₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:21C2	128,1152
C₄²:₈C₄:₂₂C₂ = C₂³.₃₂₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:22C2	128,1153
C₄²:₈C₄:₂₃C₂ = C₂⁴.₂₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:23C2	128,1171
C₄²:₈C₄:₂₄C₂ = C₂⁴.₅₆₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:24C2	128,1174
C₄²:₈C₄:₂₅C₂ = C₂³.₃₈₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:25C2	128,1220
C₄²:₈C₄:₂₆C₂ = C₂⁴.₃₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:26C2	128,1221
C₄²:₈C₄:₂₇C₂ = C₂⁴.₃₀₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:27C2	128,1226
C₄²:₈C₄:₂₈C₂ = C₂³.₃₉₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:28C2	128,1227
C₄²:₈C₄:₂₉C₂ = C₂⁴.₃₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:29C2	128,1231
C₄²:₈C₄:₃₀C₂ = C₂³.₄₀₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:30C2	128,1232
C₄²:₈C₄:₃₁C₂ = C₂⁴.₅₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:31C2	128,1235
C₄²:₈C₄:₃₂C₂ = C₂³.₄₀₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:32C2	128,1236
C₄²:₈C₄:₃₃C₂ = C₂³.₄₀₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:33C2	128,1237
C₄²:₈C₄:₃₄C₂ = C₂³.₄₁₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:34C2	128,1245
C₄²:₈C₄:₃₅C₂ = C₂⁴.₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:35C2	128,1247
C₄²:₈C₄:₃₆C₂ = C₂³.₄₁₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:36C2	128,1249
C₄²:₈C₄:₃₇C₂ = C₂³.₄₁₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:37C2	128,1250
C₄²:₈C₄:₃₈C₂ = C₂³.₄₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:38C2	128,1251
C₄²:₈C₄:₃₉C₂ = C₂³.₄₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:39C2	128,1261
C₄²:₈C₄:₄₀C₂ = C₄²:₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:40C2	128,1267
C₄²:₈C₄:₄₁C₂ = C₄².₁₆₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:41C2	128,1268
C₄²:₈C₄:₄₂C₂ = C₂⁴.₃₂₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:42C2	128,1285
C₄²:₈C₄:₄₃C₂ = C₄².₁₇₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:43C2	128,1295
C₄²:₈C₄:₄₄C₂ = C₄².₁₇₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:44C2	128,1298
C₄²:₈C₄:₄₅C₂ = C₂⁴.₃₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:45C2	128,1306
C₄²:₈C₄:₄₆C₂ = C₂⁴.₃₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:46C2	128,1307
C₄²:₈C₄:₄₇C₂ = C₂⁴.₃₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:47C2	128,1308
C₄²:₈C₄:₄₈C₂ = C₄².₁₇₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:48C2	128,1312
C₄²:₈C₄:₄₉C₂ = C₄²:₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:49C2	128,1341
C₄²:₈C₄:₅₀C₂ = C₄²:₂₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:50C2	128,1351
C₄²:₈C₄:₅₁C₂ = C₄².₁₈₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:51C2	128,1353
C₄²:₈C₄:₅₂C₂ = C₄².₁₈₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:52C2	128,1360
C₄²:₈C₄:₅₃C₂ = C₄²:₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:53C2	128,1368
C₄²:₈C₄:₅₄C₂ = C₄².₁₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:54C2	128,1369
C₄²:₈C₄:₅₅C₂ = C₂⁴.₄₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:55C2	128,1430
C₄²:₈C₄:₅₆C₂ = C₂³.₆₀₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:56C2	128,1438
C₄²:₈C₄:₅₇C₂ = C₂⁴.₄₁₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:57C2	128,1455
C₄²:₈C₄:₅₈C₂ = C₂⁴.₄₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:58C2	128,1476
C₄²:₈C₄:₅₉C₂ = C₂⁴.₄₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:59C2	128,1485
C₄²:₈C₄:₆₀C₂ = C₂³.₆₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:60C2	128,1486
C₄²:₈C₄:₆₁C₂ = C₂⁴.₄₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:61C2	128,1493
C₄²:₈C₄:₆₂C₂ = C₂³.₆₆₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:62C2	128,1495
C₄²:₈C₄:₆₃C₂ = C₂⁴.₄₄₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:63C2	128,1497
C₄²:₈C₄:₆₄C₂ = C₂³.₆₆₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:64C2	128,1500
C₄²:₈C₄:₆₅C₂ = C₂³.₆₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:65C2	128,1504
C₄²:₈C₄:₆₆C₂ = C₂³.₆₇₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:66C2	128,1505
C₄²:₈C₄:₆₇C₂ = C₂³.₆₇₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:67C2	128,1507
C₄²:₈C₄:₆₈C₂ = C₂³.₆₈₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:68C2	128,1513
C₄²:₈C₄:₆₉C₂ = C₂³.₆₈₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:69C2	128,1514
C₄²:₈C₄:₇₀C₂ = C₂³.₆₈₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:70C2	128,1515
C₄²:₈C₄:₇₁C₂ = C₂³.₆₈₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:71C2	128,1517
C₄²:₈C₄:₇₂C₂ = C₄²:₃₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:72C2	128,1551
C₄²:₈C₄:₇₃C₂ = C₄².₁₉₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:73C2	128,1552
C₄²:₈C₄:₇₄C₂ = C₄²:₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:74C2	128,1582
C₄²:₈C₄:₇₅C₂ = C₄².₄₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	64	C4^2:8C4:75C2	128,1583
C₄²:₈C₄:₇₆C₂ = C₂³.₁₆₅C₂⁴	φ: trivial image	64	C4^2:8C4:76C2	128,1015
C₄²:₈C₄:₇₇C₂ = C₂³.₁₆₇C₂⁴	φ: trivial image	64	C4^2:8C4:77C2	128,1017
C₄²:₈C₄:₇₈C₂ = C₄xC₄.₄D₄	φ: trivial image	64	C4^2:8C4:78C2	128,1035

Non-split extensions G=N.Q with N=C₄²:₈C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²:₈C₄.₁C₂ = C₄².₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4.1C2	128,18
C₄²:₈C₄.₂C₂ = C₄².₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.2C2	128,27
C₄²:₈C₄.₃C₂ = C₄²:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4.3C2	128,56
C₄²:₈C₄.₄C₂ = C₄².₆₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4.4C2	128,250
C₄²:₈C₄.₅C₂ = C₄².₁₀₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.5C2	128,537
C₄²:₈C₄.₆C₂ = C₄².₅₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.6C2	128,567
C₄²:₈C₄.₇C₂ = C₄².₂₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.7C2	128,568
C₄²:₈C₄.₈C₂ = C₄².₆₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.8C2	128,578
C₄²:₈C₄.₉C₂ = C₄².₂₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.9C2	128,579
C₄²:₈C₄.₁₀C₂ = C₄².₃₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.10C2	128,681
C₄²:₈C₄.₁₁C₂ = C₄².₁₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.11C2	128,692
C₄²:₈C₄.₁₂C₂ = C₄².₄₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.12C2	128,723
C₄²:₈C₄.₁₃C₂ = C₄².₁₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.13C2	128,725
C₄²:₈C₄.₁₄C₂ = C₄²:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	32	C4^2:8C4.14C2	128,793
C₄²:₈C₄.₁₅C₂ = (C₂xQ₈).₁₀₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.15C2	128,806
C₄²:₈C₄.₁₆C₂ = (C₂xC₈).₂₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.16C2	128,817
C₄²:₈C₄.₁₇C₂ = (C₂xC₈).₁₇₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.17C2	128,829
C₄²:₈C₄.₁₈C₂ = C₄:C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.18C2	128,833
C₄²:₈C₄.₁₉C₂ = C₂³.₂₀₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.19C2	128,1052
C₄²:₈C₄.₂₀C₂ = C₄².₁₆₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.20C2	128,1059
C₄²:₈C₄.₂₁C₂ = C₄²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.21C2	128,1063
C₄²:₈C₄.₂₂C₂ = C₂³.₂₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.22C2	128,1083
C₄²:₈C₄.₂₃C₂ = C₂³.₂₃₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.23C2	128,1087
C₄²:₈C₄.₂₄C₂ = C₂³.₂₃₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.24C2	128,1088
C₄²:₈C₄.₂₅C₂ = C₂³.₂₆₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.25C2	128,1114
C₄²:₈C₄.₂₆C₂ = C₂³.₄₀₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.26C2	128,1240
C₄²:₈C₄.₂₇C₂ = C₂³.₄₀₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.27C2	128,1241
C₄²:₈C₄.₂₈C₂ = C₂³.₄₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.28C2	128,1246
C₄²:₈C₄.₂₉C₂ = C₂³.₄₂₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.29C2	128,1252
C₄²:₈C₄.₃₀C₂ = C₂³.₄₂₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.30C2	128,1256
C₄²:₈C₄.₃₁C₂ = C₂³.₄₂₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.31C2	128,1260
C₄²:₈C₄.₃₂C₂ = C₄²:₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.32C2	128,1282
C₄²:₈C₄.₃₃C₂ = C₄².₁₇₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.33C2	128,1297
C₄²:₈C₄.₃₄C₂ = C₄².₁₇₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.34C2	128,1300
C₄²:₈C₄.₃₅C₂ = C₄².₃₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.35C2	128,1302
C₄²:₈C₄.₃₆C₂ = C₄².₃₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.36C2	128,1303
C₄²:₈C₄.₃₇C₂ = C₄².₁₇₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.37C2	128,1313
C₄²:₈C₄.₃₈C₂ = C₄²:₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.38C2	128,1344
C₄²:₈C₄.₃₉C₂ = C₄².₃₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.39C2	128,1379
C₄²:₈C₄.₄₀C₂ = C₄²:₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.40C2	128,1392
C₄²:₈C₄.₄₁C₂ = C₄²:₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.41C2	128,1398
C₄²:₈C₄.₄₂C₂ = C₂³.₆₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.42C2	128,1451
C₄²:₈C₄.₄₃C₂ = C₂³.₆₅₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.43C2	128,1487
C₄²:₈C₄.₄₄C₂ = C₂³.₆₆₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.44C2	128,1494
C₄²:₈C₄.₄₅C₂ = C₂³.₆₆₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.45C2	128,1498
C₄²:₈C₄.₄₆C₂ = C₂³.₆₆₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.46C2	128,1499
C₄²:₈C₄.₄₇C₂ = C₂³.₆₆₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.47C2	128,1501
C₄²:₈C₄.₄₈C₂ = C₂³.₆₇₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.48C2	128,1506
C₄²:₈C₄.₄₉C₂ = C₂³.₆₈₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.49C2	128,1521
C₄²:₈C₄.₅₀C₂ = C₄².₂₀₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.50C2	128,1554
C₄²:₈C₄.₅₁C₂ = C₄²:₁₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.51C2	128,1576
C₄²:₈C₄.₅₂C₂ = C₄².₄₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.52C2	128,1577
C₄²:₈C₄.₅₃C₂ = C₄³.₁₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.53C2	128,1591
C₄²:₈C₄.₅₄C₂ = C₄²:₁₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.54C2	128,1594
C₄²:₈C₄.₅₅C₂ = C₄³.₁₈C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₈C₄	128	C4^2:8C4.55C2	128,1596
C₄²:₈C₄.₅₆C₂ = C₄xC₄².C₂	φ: trivial image	128	C4^2:8C4.56C2	128,1037

Extensions 1→N→G→Q→1 with N=C42:8C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²:₈C₄ and Q=C₂