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Extensions 1→N→G→Q→1 with N=C23.67C23 and Q=C2

Direct product G=N×Q with N=C23.67C23 and Q=C2
dρLabelID
C2×C23.67C23128C2xC2^3.67C2^3128,1026

Semidirect products G=N:Q with N=C23.67C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.67C23⋊1C2 = 2- 1+4⋊2C4φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3:1C2128,525
C23.67C23⋊2C2 = (C2×SD16)⋊14C4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:2C2128,609
C23.67C23⋊3C2 = C8.C22⋊C4φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3:3C2128,614
C23.67C23⋊4C2 = (C2×C4)⋊9SD16φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:4C2128,700
C23.67C23⋊5C2 = C8⋊(C22⋊C4)φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:5C2128,705
C23.67C23⋊6C2 = M4(2)⋊4D4φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3:6C2128,739
C23.67C23⋊7C2 = (C2×C8)⋊20D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:7C2128,746
C23.67C23⋊8C2 = (C2×C8).41D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:8C2128,747
C23.67C23⋊9C2 = M4(2).7D4φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3:9C2128,770
C23.67C23⋊10C2 = (C2×C4)⋊5SD16φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:10C2128,787
C23.67C23⋊11C2 = C23.192C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:11C2128,1042
C23.67C23⋊12C2 = C24.542C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:12C2128,1043
C23.67C23⋊13C2 = C42.159D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:13C2128,1055
C23.67C23⋊14C2 = C42.160D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:14C2128,1058
C23.67C23⋊15C2 = C23.211C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:15C2128,1061
C23.67C23⋊16C2 = C23.214C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:16C2128,1064
C23.67C23⋊17C2 = C24.205C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:17C2128,1069
C23.67C23⋊18C2 = C24.549C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:18C2128,1071
C23.67C23⋊19C2 = Q8×C22⋊C4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:19C2128,1072
C23.67C23⋊20C2 = C24.558C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:20C2128,1092
C23.67C23⋊21C2 = C23.244C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:21C2128,1094
C23.67C23⋊22C2 = C24.220C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:22C2128,1099
C23.67C23⋊23C2 = C23.250C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:23C2128,1100
C23.67C23⋊24C2 = C24.221C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:24C2128,1104
C23.67C23⋊25C2 = C24.227C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:25C2128,1110
C23.67C23⋊26C2 = C23.261C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:26C2128,1111
C23.67C23⋊27C2 = C24.244C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:27C2128,1139
C23.67C23⋊28C2 = C23.309C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:28C2128,1141
C23.67C23⋊29C2 = C23.315C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:29C2128,1147
C23.67C23⋊30C2 = C24.252C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:30C2128,1149
C23.67C23⋊31C2 = C23.321C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:31C2128,1153
C23.67C23⋊32C2 = C23.323C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:32C2128,1155
C23.67C23⋊33C2 = C23.327C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:33C2128,1159
C23.67C23⋊34C2 = C23.329C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:34C2128,1161
C23.67C23⋊35C2 = C24.263C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:35C2128,1163
C23.67C23⋊36C2 = C24.264C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:36C2128,1164
C23.67C23⋊37C2 = C23.334C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:37C2128,1166
C23.67C23⋊38C2 = C24.565C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:38C2128,1168
C23.67C23⋊39C2 = C24.567C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:39C2128,1170
C23.67C23⋊40C2 = C24.267C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:40C2128,1171
C23.67C23⋊41C2 = C24.271C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:41C2128,1179
C23.67C23⋊42C2 = C23.348C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:42C2128,1180
C23.67C23⋊43C2 = C23.350C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:43C2128,1182
C23.67C23⋊44C2 = C23.359C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:44C2128,1191
C23.67C23⋊45C2 = C24.285C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:45C2128,1197
C23.67C23⋊46C2 = C23.374C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:46C2128,1206
C23.67C23⋊47C2 = C23.377C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:47C2128,1209
C23.67C23⋊48C2 = C23.388C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:48C2128,1220
C23.67C23⋊49C2 = C24.301C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:49C2128,1221
C23.67C23⋊50C2 = C23.392C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:50C2128,1224
C23.67C23⋊51C2 = C24.308C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:51C2128,1231
C23.67C23⋊52C2 = C23.402C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:52C2128,1234
C23.67C23⋊53C2 = C24.579C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:53C2128,1235
C23.67C23⋊54C2 = C24.311C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:54C2128,1253
C23.67C23⋊55C2 = C24.313C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:55C2128,1255
C23.67C23⋊56C2 = C24.315C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:56C2128,1259
C23.67C23⋊57C2 = C23.432C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:57C2128,1264
C23.67C23⋊58C2 = C42⋊21D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:58C2128,1276
C23.67C23⋊59C2 = C42.168D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:59C2128,1277
C23.67C23⋊60C2 = C42.170D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:60C2128,1279
C23.67C23⋊61C2 = C23.449C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:61C2128,1281
C23.67C23⋊62C2 = C23.456C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:62C2128,1288
C23.67C23⋊63C2 = C23.457C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:63C2128,1289
C23.67C23⋊64C2 = C24.332C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:64C2128,1292
C23.67C23⋊65C2 = C23.472C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:65C2128,1304
C23.67C23⋊66C2 = C24.338C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:66C2128,1306
C23.67C23⋊67C2 = C24.346C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:67C2128,1321
C23.67C23⋊68C2 = C42.182D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:68C2128,1324
C23.67C23⋊69C2 = C24.355C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:69C2128,1339
C23.67C23⋊70C2 = C42⋊28D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:70C2128,1352
C23.67C23⋊71C2 = C42.186D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:71C2128,1353
C23.67C23⋊72C2 = C23.525C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:72C2128,1357
C23.67C23⋊73C2 = C42.193D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:73C2128,1372
C23.67C23⋊74C2 = C23.550C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:74C2128,1382
C23.67C23⋊75C2 = C23.553C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:75C2128,1385
C23.67C23⋊76C2 = C24.379C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:76C2128,1397
C23.67C23⋊77C2 = C24.394C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:77C2128,1419
C23.67C23⋊78C2 = C23.589C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:78C2128,1421
C23.67C23⋊79C2 = C23.590C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:79C2128,1422
C23.67C23⋊80C2 = C23.592C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:80C2128,1424
C23.67C23⋊81C2 = C24.405C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:81C2128,1430
C23.67C23⋊82C2 = C23.600C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:82C2128,1432
C23.67C23⋊83C2 = C23.602C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:83C2128,1434
C23.67C23⋊84C2 = C24.408C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:84C2128,1436
C23.67C23⋊85C2 = C24.412C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:85C2128,1442
C23.67C23⋊86C2 = C23.612C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:86C2128,1444
C23.67C23⋊87C2 = C23.615C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:87C2128,1447
C23.67C23⋊88C2 = C23.616C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:88C2128,1448
C23.67C23⋊89C2 = C24.420C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:89C2128,1460
C23.67C23⋊90C2 = C24.421C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:90C2128,1461
C23.67C23⋊91C2 = C23.630C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:91C2128,1462
C23.67C23⋊92C2 = C23.631C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:92C2128,1463
C23.67C23⋊93C2 = C23.632C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:93C2128,1464
C23.67C23⋊94C2 = C23.633C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:94C2128,1465
C23.67C23⋊95C2 = C23.645C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:95C2128,1477
C23.67C23⋊96C2 = C23.651C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:96C2128,1483
C23.67C23⋊97C2 = C23.654C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:97C2128,1486
C23.67C23⋊98C2 = C23.659C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:98C2128,1491
C23.67C23⋊99C2 = C23.663C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:99C2128,1495
C23.67C23⋊100C2 = C23.664C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:100C2128,1496
C23.67C23⋊101C2 = C23.675C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:101C2128,1507
C23.67C23⋊102C2 = C23.688C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:102C2128,1520
C23.67C23⋊103C2 = C23.698C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:103C2128,1530
C23.67C23⋊104C2 = C24.456C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:104C2128,1536
C23.67C23⋊105C2 = C23.708C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:105C2128,1540
C23.67C23⋊106C2 = C23.731C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:106C2128,1563
C23.67C23⋊107C2 = C23.732C24φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:107C2128,1564
C23.67C23⋊108C2 = C42⋊46D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:108C2128,1582
C23.67C23⋊109C2 = C24.599C23φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:109C2128,1587
C23.67C23⋊110C2 = C42.440D4φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:110C2128,1589
C23.67C23⋊111C2 = C43⋊14C2φ: C2/C1 → C2 ⊆ Out C23.67C2364C2^3.67C2^3:111C2128,1593
C23.67C23⋊112C2 = C23.179C24φ: trivial image64C2^3.67C2^3:112C2128,1029
C23.67C23⋊113C2 = C4×C22⋊Q8φ: trivial image64C2^3.67C2^3:113C2128,1034
C23.67C23⋊114C2 = C4×C4.4D4φ: trivial image64C2^3.67C2^3:114C2128,1035

Non-split extensions G=N.Q with N=C23.67C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.67C23.1C2 = (C2×Q8)⋊C8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.1C2128,4
C23.67C23.2C2 = (C2×C42).C4φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3.2C2128,51
C23.67C23.3C2 = (C2×Q8).Q8φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3.3C2128,126
C23.67C23.4C2 = C4.10D4⋊2C4φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3.4C2128,589
C23.67C23.5C2 = (C2×C4)⋊9Q16φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.5C2128,610
C23.67C23.6C2 = C4.68(C4×D4)φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.6C2128,659
C23.67C23.7C2 = C2.(C4×Q16)φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.7C2128,660
C23.67C23.8C2 = C2.(C8⋊8D4)φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.8C2128,665
C23.67C23.9C2 = C2.(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.9C2128,667
C23.67C23.10C2 = (C2×C4)⋊6Q16φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.10C2128,701
C23.67C23.11C2 = (C2×Q16)⋊10C4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.11C2128,703
C23.67C23.12C2 = (C2×C4)⋊2Q16φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.12C2128,748
C23.67C23.13C2 = (C2×Q8)⋊Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.13C2128,756
C23.67C23.14C2 = C4⋊C4.85D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.14C2128,758
C23.67C23.15C2 = (C2×Q8)⋊2Q8φ: C2/C1 → C2 ⊆ Out C23.67C2332C2^3.67C2^3.15C2128,760
C23.67C23.16C2 = (C2×C4)⋊3Q16φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.16C2128,788
C23.67C23.17C2 = (C2×Q8).8Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.17C2128,798
C23.67C23.18C2 = (C2×C8).52D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.18C2128,800
C23.67C23.19C2 = (C2×C4).19Q16φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.19C2128,804
C23.67C23.20C2 = (C2×Q8).109D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.20C2128,806
C23.67C23.21C2 = (C2×C8).60D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.21C2128,827
C23.67C23.22C2 = (C2×C8).170D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.22C2128,828
C23.67C23.23C2 = (C2×C8).171D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.23C2128,829
C23.67C23.24C2 = C23.202C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.24C2128,1052
C23.67C23.25C2 = C42.161D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.25C2128,1059
C23.67C23.26C2 = C42⋊4Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.26C2128,1063
C23.67C23.27C2 = C23.237C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.27C2128,1087
C23.67C23.28C2 = C23.238C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.28C2128,1088
C23.67C23.29C2 = C23.247C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.29C2128,1097
C23.67C23.30C2 = C23.251C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.30C2128,1101
C23.67C23.31C2 = C23.263C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.31C2128,1113
C23.67C23.32C2 = C23.346C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.32C2128,1178
C23.67C23.33C2 = C23.351C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.33C2128,1183
C23.67C23.34C2 = C23.353C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.34C2128,1185
C23.67C23.35C2 = C23.411C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.35C2128,1243
C23.67C23.36C2 = C23.414C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.36C2128,1246
C23.67C23.37C2 = C23.420C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.37C2128,1252
C23.67C23.38C2 = C42.169D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.38C2128,1278
C23.67C23.39C2 = C42⋊6Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.39C2128,1282
C23.67C23.40C2 = C42.174D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.40C2128,1297
C23.67C23.41C2 = C42.176D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.41C2128,1299
C23.67C23.42C2 = C42.177D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.42C2128,1300
C23.67C23.43C2 = C42.179D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.43C2128,1313
C23.67C23.44C2 = C42.180D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.44C2128,1314
C23.67C23.45C2 = C23.486C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.45C2128,1318
C23.67C23.46C2 = C23.488C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.46C2128,1320
C23.67C23.47C2 = C42⋊8Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.47C2128,1337
C23.67C23.48C2 = C42⋊9Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.48C2128,1344
C23.67C23.49C2 = C42.195D4φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.49C2128,1374
C23.67C23.50C2 = C23.545C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.50C2128,1377
C23.67C23.51C2 = C42⋊11Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.51C2128,1398
C23.67C23.52C2 = C23.613C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.52C2128,1445
C23.67C23.53C2 = C23.634C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.53C2128,1466
C23.67C23.54C2 = C23.655C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.54C2128,1487
C23.67C23.55C2 = C23.658C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.55C2128,1490
C23.67C23.56C2 = C23.662C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.56C2128,1494
C23.67C23.57C2 = C23.674C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.57C2128,1506
C23.67C23.58C2 = C23.689C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.58C2128,1521
C23.67C23.59C2 = C23.699C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.59C2128,1531
C23.67C23.60C2 = C23.705C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.60C2128,1537
C23.67C23.61C2 = C23.706C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.61C2128,1538
C23.67C23.62C2 = C23.709C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.62C2128,1541
C23.67C23.63C2 = C23.711C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.63C2128,1543
C23.67C23.64C2 = C23.733C24φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.64C2128,1565
C23.67C23.65C2 = C42⋊18Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.65C2128,1594
C23.67C23.66C2 = C42⋊15Q8φ: C2/C1 → C2 ⊆ Out C23.67C23128C2^3.67C2^3.66C2128,1595
C23.67C23.67C2 = C42⋊14Q8φ: trivial image128C2^3.67C2^3.67C2128,1027
C23.67C23.68C2 = C4×C4⋊Q8φ: trivial image128C2^3.67C2^3.68C2128,1039

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