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

Direct product G=N×Q with N=C₄²⋊₈C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊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(C₂×C₄)	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 = (C₂×C₈).₁₆₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	64	C4^2:8C4:9C2	128,824
C₄²⋊₈C₄⋊₁₀C₂ = C₂³.₁₉₆C₂⁴	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 = C₂³.₂₀₀C₂⁴	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 = C₂³.₂₁₆C₂⁴	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 = C₂⁴.₅₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	64	C4^2:8C4:17C2	128,1081
C₄²⋊₈C₄⋊₁₈C₂ = C₂⁴.₂₁₀C₂³	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 = C₂⁴.₂₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	64	C4^2:8C4:20C2	128,1111
C₄²⋊₈C₄⋊₂₁C₂ = C₂³.₃₂₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	64	C4^2:8C4:21C2	128,1152
C₄²⋊₈C₄⋊₂₂C₂ = C₂⁴.₂₅₅C₂³	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 = C₂³.₃₄₂C₂⁴	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 = C₂³.₃₉₄C₂⁴	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 = C₂³.₃₉₉C₂⁴	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 = C₂³.₄₁₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	64	C4^2:8C4:35C2	128,1247
C₄²⋊₈C₄⋊₃₆C₂ = C₂⁴.₃₁₀C₂³	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 = C₂³.₆₂₃C₂⁴	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 = C₂⁴.₄₄₁C₂³	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 = C₂⁴.₄₄₉C₂³	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 = C₂⁴.₅₂₉C₂³	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 = C₄×C₄.₄D₄	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 = (C₂×Q₈).₁₀₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	128	C4^2:8C4.15C2	128,806
C₄²⋊₈C₄.₁₆C₂ = (C₂×C₈).₂₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₈C₄	128	C4^2:8C4.16C2	128,817
C₄²⋊₈C₄.₁₇C₂ = (C₂×C₈).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 = C₄×C₄².C₂	φ: trivial image	128	C4^2:8C4.56C2	128,1037

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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