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

Direct product G=N×Q with N=C4×C4⋊C4 and Q=C2
dρLabelID
C2×C4×C4⋊C4128C2xC4xC4:C4128,1001

Semidirect products G=N:Q with N=C4×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C4⋊C4)⋊1C2 = C42.403D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4):1C2128,234
(C4×C4⋊C4)⋊2C2 = C42.57D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4):2C2128,241
(C4×C4⋊C4)⋊3C2 = C4×D4⋊C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):3C2128,492
(C4×C4⋊C4)⋊4C2 = D4⋊C42φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):4C2128,494
(C4×C4⋊C4)⋊5C2 = C42.102D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4):5C2128,538
(C4×C4⋊C4)⋊6C2 = D4⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):6C2128,657
(C4×C4⋊C4)⋊7C2 = C4.67(C4×D4)φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):7C2128,658
(C4×C4⋊C4)⋊8C2 = M4(2)⋊13D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4):8C2128,712
(C4×C4⋊C4)⋊9C2 = C42.118D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):9C2128,714
(C4×C4⋊C4)⋊10C2 = C42.119D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):10C2128,715
(C4×C4⋊C4)⋊11C2 = C24.524C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):11C2128,1006
(C4×C4⋊C4)⋊12C2 = D4⋊4C42φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):12C2128,1007
(C4×C4⋊C4)⋊13C2 = C23.165C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):13C2128,1015
(C4×C4⋊C4)⋊14C2 = C23.167C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):14C2128,1017
(C4×C4⋊C4)⋊15C2 = C42⋊42D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):15C2128,1022
(C4×C4⋊C4)⋊16C2 = C43⋊9C2φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):16C2128,1025
(C4×C4⋊C4)⋊17C2 = C23.178C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):17C2128,1028
(C4×C4⋊C4)⋊18C2 = C43⋊2C2φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):18C2128,1030
(C4×C4⋊C4)⋊19C2 = C4×C4⋊D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):19C2128,1032
(C4×C4⋊C4)⋊20C2 = C4×C22.D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):20C2128,1033
(C4×C4⋊C4)⋊21C2 = C4×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):21C2128,1034
(C4×C4⋊C4)⋊22C2 = C4×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):22C2128,1036
(C4×C4⋊C4)⋊23C2 = C24.192C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):23C2128,1046
(C4×C4⋊C4)⋊24C2 = C23.201C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):24C2128,1051
(C4×C4⋊C4)⋊25C2 = C42.159D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):25C2128,1055
(C4×C4⋊C4)⋊26C2 = C42⋊13D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):26C2128,1056
(C4×C4⋊C4)⋊27C2 = C23.214C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):27C2128,1064
(C4×C4⋊C4)⋊28C2 = C24.203C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):28C2128,1066
(C4×C4⋊C4)⋊29C2 = C24.204C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):29C2128,1067
(C4×C4⋊C4)⋊30C2 = C24.205C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):30C2128,1069
(C4×C4⋊C4)⋊31C2 = C23.225C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):31C2128,1075
(C4×C4⋊C4)⋊32C2 = C23.226C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):32C2128,1076
(C4×C4⋊C4)⋊33C2 = C23.227C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):33C2128,1077
(C4×C4⋊C4)⋊34C2 = C24.208C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):34C2128,1078
(C4×C4⋊C4)⋊35C2 = C23.229C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):35C2128,1079
(C4×C4⋊C4)⋊36C2 = D4×C4⋊C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):36C2128,1080
(C4×C4⋊C4)⋊37C2 = C23.231C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):37C2128,1081
(C4×C4⋊C4)⋊38C2 = C23.234C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):38C2128,1084
(C4×C4⋊C4)⋊39C2 = C23.236C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):39C2128,1086
(C4×C4⋊C4)⋊40C2 = C24.212C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):40C2128,1089
(C4×C4⋊C4)⋊41C2 = C23.241C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):41C2128,1091
(C4×C4⋊C4)⋊42C2 = C24.558C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):42C2128,1092
(C4×C4⋊C4)⋊43C2 = C24.215C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):43C2128,1093
(C4×C4⋊C4)⋊44C2 = C23.244C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):44C2128,1094
(C4×C4⋊C4)⋊45C2 = C24.217C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):45C2128,1095
(C4×C4⋊C4)⋊46C2 = C24.219C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):46C2128,1098
(C4×C4⋊C4)⋊47C2 = C24.220C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):47C2128,1099
(C4×C4⋊C4)⋊48C2 = C23.250C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):48C2128,1100
(C4×C4⋊C4)⋊49C2 = C23.255C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):49C2128,1105
(C4×C4⋊C4)⋊50C2 = C24.223C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):50C2128,1106
(C4×C4⋊C4)⋊51C2 = C42⋊15D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):51C2128,1124
(C4×C4⋊C4)⋊52C2 = C23.295C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):52C2128,1127
(C4×C4⋊C4)⋊53C2 = C42.162D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):53C2128,1128
(C4×C4⋊C4)⋊54C2 = C23.301C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):54C2128,1133
(C4×C4⋊C4)⋊55C2 = C23.345C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):55C2128,1177
(C4×C4⋊C4)⋊56C2 = C24.271C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):56C2128,1179
(C4×C4⋊C4)⋊57C2 = C23.348C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):57C2128,1180
(C4×C4⋊C4)⋊58C2 = C23.352C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):58C2128,1184
(C4×C4⋊C4)⋊59C2 = C23.354C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):59C2128,1186
(C4×C4⋊C4)⋊60C2 = C24.282C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):60C2128,1193
(C4×C4⋊C4)⋊61C2 = C23.368C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):61C2128,1200
(C4×C4⋊C4)⋊62C2 = C23.369C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):62C2128,1201
(C4×C4⋊C4)⋊63C2 = C23.374C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):63C2128,1206
(C4×C4⋊C4)⋊64C2 = C23.375C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):64C2128,1207
(C4×C4⋊C4)⋊65C2 = C24.295C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):65C2128,1210
(C4×C4⋊C4)⋊66C2 = C23.379C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):66C2128,1211
(C4×C4⋊C4)⋊67C2 = C24.301C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):67C2128,1221
(C4×C4⋊C4)⋊68C2 = C23.390C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):68C2128,1222
(C4×C4⋊C4)⋊69C2 = C23.391C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):69C2128,1223
(C4×C4⋊C4)⋊70C2 = C23.392C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):70C2128,1224
(C4×C4⋊C4)⋊71C2 = C24.304C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):71C2128,1226
(C4×C4⋊C4)⋊72C2 = C23.395C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):72C2128,1227
(C4×C4⋊C4)⋊73C2 = C23.396C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):73C2128,1228
(C4×C4⋊C4)⋊74C2 = C23.397C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):74C2128,1229
(C4×C4⋊C4)⋊75C2 = C23.412C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):75C2128,1244
(C4×C4⋊C4)⋊76C2 = C23.413C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):76C2128,1245
(C4×C4⋊C4)⋊77C2 = C24.309C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):77C2128,1247
(C4×C4⋊C4)⋊78C2 = C23.416C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):78C2128,1248
(C4×C4⋊C4)⋊79C2 = C23.419C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):79C2128,1251
(C4×C4⋊C4)⋊80C2 = C24.311C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):80C2128,1253
(C4×C4⋊C4)⋊81C2 = C23.422C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):81C2128,1254
(C4×C4⋊C4)⋊82C2 = C23.425C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):82C2128,1257
(C4×C4⋊C4)⋊83C2 = C23.429C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):83C2128,1261
(C4×C4⋊C4)⋊84C2 = C23.432C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):84C2128,1264
(C4×C4⋊C4)⋊85C2 = C42⋊19D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):85C2128,1272
(C4×C4⋊C4)⋊86C2 = C42⋊20D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):86C2128,1273
(C4×C4⋊C4)⋊87C2 = C42.167D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):87C2128,1274
(C4×C4⋊C4)⋊88C2 = C42⋊21D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):88C2128,1276
(C4×C4⋊C4)⋊89C2 = C42.168D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):89C2128,1277
(C4×C4⋊C4)⋊90C2 = C42.170D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):90C2128,1279
(C4×C4⋊C4)⋊91C2 = C42.171D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):91C2128,1280
(C4×C4⋊C4)⋊92C2 = C24.327C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):92C2128,1286
(C4×C4⋊C4)⋊93C2 = C23.456C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):93C2128,1288
(C4×C4⋊C4)⋊94C2 = C23.458C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):94C2128,1290
(C4×C4⋊C4)⋊95C2 = C24.332C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):95C2128,1292
(C4×C4⋊C4)⋊96C2 = C42.172D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):96C2128,1294
(C4×C4⋊C4)⋊97C2 = C42.173D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):97C2128,1295
(C4×C4⋊C4)⋊98C2 = C42.175D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):98C2128,1298
(C4×C4⋊C4)⋊99C2 = C23.473C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):99C2128,1305
(C4×C4⋊C4)⋊100C2 = C24.338C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):100C2128,1306
(C4×C4⋊C4)⋊101C2 = C24.339C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):101C2128,1307
(C4×C4⋊C4)⋊102C2 = C24.341C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):102C2128,1309
(C4×C4⋊C4)⋊103C2 = C24.345C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):103C2128,1319
(C4×C4⋊C4)⋊104C2 = C24.346C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):104C2128,1321
(C4×C4⋊C4)⋊105C2 = C42.182D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):105C2128,1324
(C4×C4⋊C4)⋊106C2 = C23.493C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):106C2128,1325
(C4×C4⋊C4)⋊107C2 = C23.494C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):107C2128,1326
(C4×C4⋊C4)⋊108C2 = C24.347C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):108C2128,1327
(C4×C4⋊C4)⋊109C2 = C23.496C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):109C2128,1328
(C4×C4⋊C4)⋊110C2 = C24.348C23φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):110C2128,1329
(C4×C4⋊C4)⋊111C2 = C42⋊23D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):111C2128,1333
(C4×C4⋊C4)⋊112C2 = C23.550C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):112C2128,1382
(C4×C4⋊C4)⋊113C2 = C23.551C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):113C2128,1383
(C4×C4⋊C4)⋊114C2 = C23.554C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):114C2128,1386
(C4×C4⋊C4)⋊115C2 = C42⋊32D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):115C2128,1394
(C4×C4⋊C4)⋊116C2 = C42.198D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C464(C4xC4:C4):116C2128,1396
(C4×C4⋊C4)⋊117C2 = C4×C42⋊C2φ: trivial image64(C4xC4:C4):117C2128,1002
(C4×C4⋊C4)⋊118C2 = D4×C42φ: trivial image64(C4xC4:C4):118C2128,1003

Non-split extensions G=N.Q with N=C4×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C4⋊C4).1C2 = C42.46Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).1C2128,11
(C4×C4⋊C4).2C2 = C42.4Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4).2C2128,17
(C4×C4⋊C4).3C2 = C42.10Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4).3C2128,35
(C4×C4⋊C4).4C2 = C42.404D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4).4C2128,235
(C4×C4⋊C4).5C2 = C4×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).5C2128,493
(C4×C4⋊C4).6C2 = Q8⋊C42φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).6C2128,495
(C4×C4⋊C4).7C2 = C4⋊C8⋊13C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).7C2128,502
(C4×C4⋊C4).8C2 = C4⋊C8⋊14C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).8C2128,503
(C4×C4⋊C4).9C2 = C4×C4.Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).9C2128,506
(C4×C4⋊C4).10C2 = C4×C2.D8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).10C2128,507
(C4×C4⋊C4).11C2 = C8⋊C42φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).11C2128,508
(C4×C4⋊C4).12C2 = C4⋊C4⋊3C8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).12C2128,648
(C4×C4⋊C4).13C2 = (C2×C8).Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).13C2128,649
(C4×C4⋊C4).14C2 = C2.D8⋊4C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).14C2128,650
(C4×C4⋊C4).15C2 = C4.Q8⋊9C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).15C2128,651
(C4×C4⋊C4).16C2 = C4.Q8⋊10C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).16C2128,652
(C4×C4⋊C4).17C2 = C2.D8⋊5C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).17C2128,653
(C4×C4⋊C4).18C2 = C4.68(C4×D4)φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).18C2128,659
(C4×C4⋊C4).19C2 = C2.(C4×Q16)φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).19C2128,660
(C4×C4⋊C4).20C2 = C42.61Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).20C2128,671
(C4×C4⋊C4).21C2 = C42.27Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).21C2128,672
(C4×C4⋊C4).22C2 = C42.29Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).22C2128,679
(C4×C4⋊C4).23C2 = C42.30Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).23C2128,680
(C4×C4⋊C4).24C2 = C42.31Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).24C2128,681
(C4×C4⋊C4).25C2 = C42.117D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).25C2128,713
(C4×C4⋊C4).26C2 = M4(2)⋊7Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C432(C4xC4:C4).26C2128,718
(C4×C4⋊C4).27C2 = C42.121D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).27C2128,719
(C4×C4⋊C4).28C2 = C42.122D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).28C2128,720
(C4×C4⋊C4).29C2 = C42.123D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).29C2128,721
(C4×C4⋊C4).30C2 = Q8⋊4C42φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).30C2128,1008
(C4×C4⋊C4).31C2 = C42⋊14Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).31C2128,1027
(C4×C4⋊C4).32C2 = C4×C42.C2φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).32C2128,1037
(C4×C4⋊C4).33C2 = C4×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).33C2128,1039
(C4×C4⋊C4).34C2 = C23.202C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).34C2128,1052
(C4×C4⋊C4).35C2 = C42.33Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).35C2128,1062
(C4×C4⋊C4).36C2 = C42⋊4Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).36C2128,1063
(C4×C4⋊C4).37C2 = C23.218C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).37C2128,1068
(C4×C4⋊C4).38C2 = Q8×C4⋊C4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).38C2128,1082
(C4×C4⋊C4).39C2 = C23.233C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).39C2128,1083
(C4×C4⋊C4).40C2 = C23.237C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).40C2128,1087
(C4×C4⋊C4).41C2 = C23.238C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).41C2128,1088
(C4×C4⋊C4).42C2 = C23.247C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).42C2128,1097
(C4×C4⋊C4).43C2 = C23.251C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).43C2128,1101
(C4×C4⋊C4).44C2 = C23.252C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).44C2128,1102
(C4×C4⋊C4).45C2 = C23.253C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).45C2128,1103
(C4×C4⋊C4).46C2 = C42⋊5Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).46C2128,1131
(C4×C4⋊C4).47C2 = C42.34Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).47C2128,1134
(C4×C4⋊C4).48C2 = C23.346C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).48C2128,1178
(C4×C4⋊C4).49C2 = C23.351C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).49C2128,1183
(C4×C4⋊C4).50C2 = C23.353C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).50C2128,1185
(C4×C4⋊C4).51C2 = C23.362C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).51C2128,1194
(C4×C4⋊C4).52C2 = C23.406C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).52C2128,1238
(C4×C4⋊C4).53C2 = C23.407C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).53C2128,1239
(C4×C4⋊C4).54C2 = C23.408C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).54C2128,1240
(C4×C4⋊C4).55C2 = C23.409C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).55C2128,1241
(C4×C4⋊C4).56C2 = C23.411C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).56C2128,1243
(C4×C4⋊C4).57C2 = C23.414C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).57C2128,1246
(C4×C4⋊C4).58C2 = C23.420C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).58C2128,1252
(C4×C4⋊C4).59C2 = C23.424C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).59C2128,1256
(C4×C4⋊C4).60C2 = C23.428C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).60C2128,1260
(C4×C4⋊C4).61C2 = C23.433C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).61C2128,1265
(C4×C4⋊C4).62C2 = C42.169D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).62C2128,1278
(C4×C4⋊C4).63C2 = C42⋊6Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).63C2128,1282
(C4×C4⋊C4).64C2 = C42⋊7Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).64C2128,1283
(C4×C4⋊C4).65C2 = C42.35Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).65C2128,1284
(C4×C4⋊C4).66C2 = C42.174D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).66C2128,1297
(C4×C4⋊C4).67C2 = C42.176D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).67C2128,1299
(C4×C4⋊C4).68C2 = C42.177D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).68C2128,1300
(C4×C4⋊C4).69C2 = C42.36Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).69C2128,1302
(C4×C4⋊C4).70C2 = C42.37Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).70C2128,1303
(C4×C4⋊C4).71C2 = C42.181D4φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).71C2128,1316
(C4×C4⋊C4).72C2 = C23.485C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).72C2128,1317
(C4×C4⋊C4).73C2 = C23.486C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).73C2128,1318
(C4×C4⋊C4).74C2 = C23.488C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).74C2128,1320
(C4×C4⋊C4).75C2 = C23.490C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).75C2128,1322
(C4×C4⋊C4).76C2 = C42⋊8Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).76C2128,1337
(C4×C4⋊C4).77C2 = C42.38Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).77C2128,1338
(C4×C4⋊C4).78C2 = C23.555C24φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).78C2128,1387
(C4×C4⋊C4).79C2 = C42⋊11Q8φ: C2/C1 → C2 ⊆ Out C4×C4⋊C4128(C4xC4:C4).79C2128,1398
(C4×C4⋊C4).80C2 = C8×C4⋊C4φ: trivial image128(C4xC4:C4).80C2128,501
(C4×C4⋊C4).81C2 = Q8×C42φ: trivial image128(C4xC4:C4).81C2128,1004

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