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

Direct product G=N×Q with N=C2×C42⋊C2 and Q=C2
dρLabelID
C22×C42⋊C264C2^2xC4^2:C2128,2153

Semidirect products G=N:Q with N=C2×C42⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C42⋊C2)⋊1C2 = C24.74D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):1C2128,607
(C2×C42⋊C2)⋊2C2 = C42⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):2C2128,629
(C2×C42⋊C2)⋊3C2 = C24.174C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):3C2128,631
(C2×C42⋊C2)⋊4C2 = C25.85C22φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):4C2128,1012
(C2×C42⋊C2)⋊5C2 = C42⋊42D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):5C2128,1022
(C2×C42⋊C2)⋊6C2 = C43⋊9C2φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):6C2128,1025
(C2×C42⋊C2)⋊7C2 = C23.179C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):7C2128,1029
(C2×C42⋊C2)⋊8C2 = C23.191C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):8C2128,1041
(C2×C42⋊C2)⋊9C2 = C24.542C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):9C2128,1043
(C2×C42⋊C2)⋊10C2 = C42⋊13D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):10C2128,1056
(C2×C42⋊C2)⋊11C2 = C23.224C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):11C2128,1074
(C2×C42⋊C2)⋊12C2 = C23.234C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):12C2128,1084
(C2×C42⋊C2)⋊13C2 = C23.236C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):13C2128,1086
(C2×C42⋊C2)⋊14C2 = C23.241C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):14C2128,1091
(C2×C42⋊C2)⋊15C2 = C24.217C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):15C2128,1095
(C2×C42⋊C2)⋊16C2 = C42⋊15D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):16C2128,1124
(C2×C42⋊C2)⋊17C2 = C23.295C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):17C2128,1127
(C2×C42⋊C2)⋊18C2 = C23.311C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):18C2128,1143
(C2×C42⋊C2)⋊19C2 = C23.313C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):19C2128,1145
(C2×C42⋊C2)⋊20C2 = C24.249C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):20C2128,1146
(C2×C42⋊C2)⋊21C2 = C23.315C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):21C2128,1147
(C2×C42⋊C2)⋊22C2 = C24.289C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):22C2128,1202
(C2×C42⋊C2)⋊23C2 = C24.290C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):23C2128,1203
(C2×C42⋊C2)⋊24C2 = C23.374C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):24C2128,1206
(C2×C42⋊C2)⋊25C2 = C24.293C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):25C2128,1208
(C2×C42⋊C2)⋊26C2 = C23.377C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):26C2128,1209
(C2×C42⋊C2)⋊27C2 = C23.379C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):27C2128,1211
(C2×C42⋊C2)⋊28C2 = C23.382C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):28C2128,1214
(C2×C42⋊C2)⋊29C2 = C23.385C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):29C2128,1217
(C2×C42⋊C2)⋊30C2 = C23.398C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):30C2128,1230
(C2×C42⋊C2)⋊31C2 = C23.400C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):31C2128,1232
(C2×C42⋊C2)⋊32C2 = C42⋊22D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):32C2128,1330
(C2×C42⋊C2)⋊33C2 = C42⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):33C2128,1333
(C2×C42⋊C2)⋊34C2 = C42⋊25D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):34C2128,1341
(C2×C42⋊C2)⋊35C2 = C42⋊26D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):35C2128,1342
(C2×C42⋊C2)⋊36C2 = C42⋊27D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):36C2128,1351
(C2×C42⋊C2)⋊37C2 = C42⋊28D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):37C2128,1352
(C2×C42⋊C2)⋊38C2 = C23.524C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):38C2128,1356
(C2×C42⋊C2)⋊39C2 = C2×C23.C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):39C2128,1614
(C2×C42⋊C2)⋊40C2 = C2×C23.24D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):40C2128,1624
(C2×C42⋊C2)⋊41C2 = C2×C23.37D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):41C2128,1625
(C2×C42⋊C2)⋊42C2 = C24.98D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):42C2128,1628
(C2×C42⋊C2)⋊43C2 = C2×C42⋊C22φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):43C2128,1632
(C2×C42⋊C2)⋊44C2 = C2×C23.19D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):44C2128,1819
(C2×C42⋊C2)⋊45C2 = C24.115D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):45C2128,1823
(C2×C42⋊C2)⋊46C2 = C24.116D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):46C2128,1825
(C2×C42⋊C2)⋊47C2 = C24.117D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):47C2128,1826
(C2×C42⋊C2)⋊48C2 = C2×C22.11C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):48C2128,2157
(C2×C42⋊C2)⋊49C2 = C2×C23.33C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):49C2128,2159
(C2×C42⋊C2)⋊50C2 = C22.14C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):50C2128,2160
(C2×C42⋊C2)⋊51C2 = C2×C22.19C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):51C2128,2167
(C2×C42⋊C2)⋊52C2 = C2×C23.36C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):52C2128,2171
(C2×C42⋊C2)⋊53C2 = C2×C22.29C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):53C2128,2178
(C2×C42⋊C2)⋊54C2 = C2×C23.38C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):54C2128,2179
(C2×C42⋊C2)⋊55C2 = C22.38C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):55C2128,2181
(C2×C42⋊C2)⋊56C2 = C2×C22.34C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):56C2128,2184
(C2×C42⋊C2)⋊57C2 = C2×C22.36C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):57C2128,2186
(C2×C42⋊C2)⋊58C2 = C22.44C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):58C2128,2187
(C2×C42⋊C2)⋊59C2 = C2×C22.45C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):59C2128,2201
(C2×C42⋊C2)⋊60C2 = C2×C22.46C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):60C2128,2202
(C2×C42⋊C2)⋊61C2 = C2×C22.47C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):61C2128,2203
(C2×C42⋊C2)⋊62C2 = C2×C22.49C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):62C2128,2205
(C2×C42⋊C2)⋊63C2 = C2×C22.50C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2):63C2128,2206
(C2×C42⋊C2)⋊64C2 = C22.64C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):64C2128,2207
(C2×C42⋊C2)⋊65C2 = C22.80C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):65C2128,2223
(C2×C42⋊C2)⋊66C2 = C22.82C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):66C2128,2225
(C2×C42⋊C2)⋊67C2 = C22.83C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):67C2128,2226
(C2×C42⋊C2)⋊68C2 = C22.84C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2):68C2128,2227
(C2×C42⋊C2)⋊69C2 = C2×C4×C4○D4φ: trivial image64(C2xC4^2:C2):69C2128,2156

Non-split extensions G=N.Q with N=C2×C42⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C42⋊C2).1C2 = C42.371D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).1C2128,190
(C2×C42⋊C2).2C2 = C42.42D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).2C2128,196
(C2×C42⋊C2).3C2 = C23.29C42φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).3C2128,461
(C2×C42⋊C2).4C2 = C2×C4.9C42φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).4C2128,462
(C2×C42⋊C2).5C2 = C2×C42⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).5C2128,464
(C2×C42⋊C2).6C2 = C24.63D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).6C2128,465
(C2×C42⋊C2).7C2 = C24.132D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).7C2128,467
(C2×C42⋊C2).8C2 = C24.152D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).8C2128,468
(C2×C42⋊C2).9C2 = C24.162C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).9C2128,472
(C2×C42⋊C2).10C2 = C23.15C42φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).10C2128,474
(C2×C42⋊C2).11C2 = C2×M4(2)⋊4C4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).11C2128,475
(C2×C42⋊C2).12C2 = C42.379D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).12C2128,482
(C2×C42⋊C2).13C2 = C42.95D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).13C2128,530
(C2×C42⋊C2).14C2 = C24.53(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).14C2128,550
(C2×C42⋊C2).15C2 = C24.169C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).15C2128,552
(C2×C42⋊C2).16C2 = (C22×C4).276D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).16C2128,554
(C2×C42⋊C2).17C2 = C24.69D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).17C2128,557
(C2×C42⋊C2).18C2 = C24.70D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).18C2128,558
(C2×C42⋊C2).19C2 = C24.71D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).19C2128,586
(C2×C42⋊C2).20C2 = C24.73D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).20C2128,605
(C2×C42⋊C2).21C2 = C24.524C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).21C2128,1006
(C2×C42⋊C2).22C2 = C23.167C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).22C2128,1017
(C2×C42⋊C2).23C2 = C23.178C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).23C2128,1028
(C2×C42⋊C2).24C2 = C43⋊2C2φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).24C2128,1030
(C2×C42⋊C2).25C2 = C23.192C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).25C2128,1042
(C2×C42⋊C2).26C2 = C24.192C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).26C2128,1046
(C2×C42⋊C2).27C2 = C24.545C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).27C2128,1048
(C2×C42⋊C2).28C2 = C23.199C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).28C2128,1049
(C2×C42⋊C2).29C2 = C42.159D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).29C2128,1055
(C2×C42⋊C2).30C2 = C23.225C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).30C2128,1075
(C2×C42⋊C2).31C2 = C23.226C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).31C2128,1076
(C2×C42⋊C2).32C2 = C24.208C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).32C2128,1078
(C2×C42⋊C2).33C2 = C23.229C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).33C2128,1079
(C2×C42⋊C2).34C2 = C23.244C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).34C2128,1094
(C2×C42⋊C2).35C2 = C42.162D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).35C2128,1128
(C2×C42⋊C2).36C2 = C24.567C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).36C2128,1170
(C2×C42⋊C2).37C2 = C24.267C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).37C2128,1171
(C2×C42⋊C2).38C2 = C24.268C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).38C2128,1173
(C2×C42⋊C2).39C2 = C23.375C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).39C2128,1207
(C2×C42⋊C2).40C2 = C24.295C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).40C2128,1210
(C2×C42⋊C2).41C2 = C24.576C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).41C2128,1216
(C2×C42⋊C2).42C2 = C24.308C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).42C2128,1231
(C2×C42⋊C2).43C2 = C42.183D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).43C2128,1331
(C2×C42⋊C2).44C2 = C42.185D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).44C2128,1343
(C2×C42⋊C2).45C2 = C42.186D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).45C2128,1353
(C2×C42⋊C2).46C2 = C23.525C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).46C2128,1357
(C2×C42⋊C2).47C2 = C42.187D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).47C2128,1360
(C2×C42⋊C2).48C2 = C42.188D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).48C2128,1361
(C2×C42⋊C2).49C2 = M4(2)○2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).49C2128,1605
(C2×C42⋊C2).50C2 = C2×C23.38D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).50C2128,1626
(C2×C42⋊C2).51C2 = C2×C42.6C22φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).51C2128,1636
(C2×C42⋊C2).52C2 = C42.257C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).52C2128,1637
(C2×C42⋊C2).53C2 = C2×C23.25D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).53C2128,1641
(C2×C42⋊C2).54C2 = C2×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).54C2128,1642
(C2×C42⋊C2).55C2 = C24.100D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).55C2128,1643
(C2×C42⋊C2).56C2 = C2×C42.7C22φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).56C2128,1651
(C2×C42⋊C2).57C2 = C42.259C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).57C2128,1653
(C2×C42⋊C2).58C2 = C42.262C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).58C2128,1656
(C2×C42⋊C2).59C2 = C2×C23.20D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).59C2128,1820
(C2×C42⋊C2).60C2 = C24.118D4φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).60C2128,1827
(C2×C42⋊C2).61C2 = C2×C23.32C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).61C2128,2158
(C2×C42⋊C2).62C2 = C2×C23.37C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).62C2128,2175
(C2×C42⋊C2).63C2 = C2×C22.35C24φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).63C2128,2185
(C2×C42⋊C2).64C2 = C2×C23.41C23φ: C2/C1 → C2 ⊆ Out C2×C42⋊C264(C2xC4^2:C2).64C2128,2189
(C2×C42⋊C2).65C2 = C22.47C25φ: C2/C1 → C2 ⊆ Out C2×C42⋊C232(C2xC4^2:C2).65C2128,2190
(C2×C42⋊C2).66C2 = C4×C42⋊C2φ: trivial image64(C2xC4^2:C2).66C2128,1002
(C2×C42⋊C2).67C2 = C2×C8○2M4(2)φ: trivial image64(C2xC4^2:C2).67C2128,1604

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