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Extensions 1→N→G→Q→1 with N=C2×D10⋊C4 and Q=C2

Direct product G=N×Q with N=C2×D10⋊C4 and Q=C2
dρLabelID
C22×D10⋊C4160C2^2xD10:C4320,1459

Semidirect products G=N:Q with N=C2×D10⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D10⋊C4)⋊1C2 = (C2×Dic5)⋊3D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):1C2320,299
(C2×D10⋊C4)⋊2C2 = (C2×C4)⋊6D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):2C2320,566
(C2×D10⋊C4)⋊3C2 = C24.48D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):3C2320,582
(C2×D10⋊C4)⋊4C2 = C24.12D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):4C2320,583
(C2×D10⋊C4)⋊5C2 = C24.13D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):5C2320,584
(C2×D10⋊C4)⋊6C2 = C23.45D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):6C2320,585
(C2×D10⋊C4)⋊7C2 = C24.14D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):7C2320,586
(C2×D10⋊C4)⋊8C2 = C23⋊2D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):8C2320,587
(C2×D10⋊C4)⋊9C2 = C24.16D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):9C2320,588
(C2×D10⋊C4)⋊10C2 = (C2×D20)⋊22C4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):10C2320,615
(C2×D10⋊C4)⋊11C2 = C24.65D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):11C2320,840
(C2×D10⋊C4)⋊12C2 = C2×C4.D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):12C2320,1148
(C2×D10⋊C4)⋊13C2 = C2×C23.23D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):13C2320,1461
(C2×D10⋊C4)⋊14C2 = C2×C20⋊7D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):14C2320,1462
(C2×D10⋊C4)⋊15C2 = (C2×C20)⋊5D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):15C2320,298
(C2×D10⋊C4)⋊16C2 = C2×C22⋊D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):16C2320,1159
(C2×D10⋊C4)⋊17C2 = C2×D10.12D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):17C2320,1160
(C2×D10⋊C4)⋊18C2 = C2×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):18C2320,1163
(C2×D10⋊C4)⋊19C2 = C2×C22.D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):19C2320,1164
(C2×D10⋊C4)⋊20C2 = C2×C4⋊D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):20C2320,1178
(C2×D10⋊C4)⋊21C2 = D4⋊5D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):21C2320,1226
(C2×D10⋊C4)⋊22C2 = C42⋊16D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):22C2320,1228
(C2×D10⋊C4)⋊23C2 = C10.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):23C2320,1326
(C2×D10⋊C4)⋊24C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):24C2320,1330
(C2×D10⋊C4)⋊25C2 = C10.372+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):25C2320,1277
(C2×D10⋊C4)⋊26C2 = C10.462+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):26C2320,1289
(C2×D10⋊C4)⋊27C2 = C10.562+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):27C2320,1316
(C2×D10⋊C4)⋊28C2 = (C2×C4)⋊9D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):28C2320,292
(C2×D10⋊C4)⋊29C2 = C2×D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):29C2320,1156
(C2×D10⋊C4)⋊30C2 = C2×Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):30C2320,1157
(C2×D10⋊C4)⋊31C2 = C2×D10⋊D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):31C2320,1161
(C2×D10⋊C4)⋊32C2 = C2×D20⋊8C4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):32C2320,1175
(C2×D10⋊C4)⋊33C2 = C2×D10.13D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):33C2320,1177
(C2×D10⋊C4)⋊34C2 = C42⋊11D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):34C2320,1217
(C2×D10⋊C4)⋊35C2 = C42⋊17D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):35C2320,1232
(C2×D10⋊C4)⋊36C2 = C10.402+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):36C2320,1282
(C2×D10⋊C4)⋊37C2 = C10.532+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):37C2320,1309
(C2×D10⋊C4)⋊38C2 = (C2×C4)⋊3D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):38C2320,618
(C2×D10⋊C4)⋊39C2 = C24.21D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):39C2320,850
(C2×D10⋊C4)⋊40C2 = C42⋊10D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):40C2320,1199
(C2×D10⋊C4)⋊41C2 = C2×C23⋊D10φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):41C2320,1471
(C2×D10⋊C4)⋊42C2 = C2×Dic5⋊D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):42C2320,1474
(C2×D10⋊C4)⋊43C2 = C2×C20.23D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4):43C2320,1486
(C2×D10⋊C4)⋊44C2 = C10.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4):44C2320,1501
(C2×D10⋊C4)⋊45C2 = C2×C4×D20φ: trivial image160(C2xD10:C4):45C2320,1145
(C2×D10⋊C4)⋊46C2 = C2×C4×C5⋊D4φ: trivial image160(C2xD10:C4):46C2320,1460

Non-split extensions G=N.Q with N=C2×D10⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D10⋊C4).1C2 = C5⋊(C23⋊C8)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4).1C2320,253
(C2×D10⋊C4).2C2 = C22⋊F5⋊C4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4).2C2320,255
(C2×D10⋊C4).3C2 = C22.58(D4×D5)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).3C2320,291
(C2×D10⋊C4).4C2 = D10⋊2(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).4C2320,294
(C2×D10⋊C4).5C2 = D10⋊3(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).5C2320,295
(C2×D10⋊C4).6C2 = C10.54(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).6C2320,296
(C2×D10⋊C4).7C2 = C10.55(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).7C2320,297
(C2×D10⋊C4).8C2 = (C2×C4).20D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).8C2320,300
(C2×D10⋊C4).9C2 = (C2×C4).21D20φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).9C2320,301
(C2×D10⋊C4).10C2 = C10.(C4⋊D4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).10C2320,302
(C2×D10⋊C4).11C2 = (C22×D5).Q8φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).11C2320,303
(C2×D10⋊C4).12C2 = (C2×C42)⋊D5φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).12C2320,567
(C2×D10⋊C4).13C2 = D10⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).13C2320,614
(C2×D10⋊C4).14C2 = D10⋊5(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).14C2320,616
(C2×D10⋊C4).15C2 = C10.90(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).15C2320,617
(C2×D10⋊C4).16C2 = (C2×C20).289D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).16C2320,619
(C2×D10⋊C4).17C2 = (C2×C20).290D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).17C2320,620
(C2×D10⋊C4).18C2 = C2×C42⋊2D5φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).18C2320,1150
(C2×D10⋊C4).19C2 = (C2×C20).33D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).19C2320,304
(C2×D10⋊C4).20C2 = C2×D10⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).20C2320,1180
(C2×D10⋊C4).21C2 = C2×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).21C2320,1181
(C2×D10⋊C4).22C2 = C10.512+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4).22C2320,1306
(C2×D10⋊C4).23C2 = C5⋊3(C23⋊C8)φ: C2/C1 → C2 ⊆ Out C2×D10⋊C480(C2xD10:C4).23C2320,26
(C2×D10⋊C4).24C2 = D10⋊2C42φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).24C2320,293
(C2×D10⋊C4).25C2 = C2×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).25C2320,1174
(C2×D10⋊C4).26C2 = (C2×C20).56D4φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).26C2320,621
(C2×D10⋊C4).27C2 = (C22×D5)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).27C2320,858
(C2×D10⋊C4).28C2 = C2×C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).28C2320,1184
(C2×D10⋊C4).29C2 = C2×D10⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×D10⋊C4160(C2xD10:C4).29C2320,1485
(C2×D10⋊C4).30C2 = C4×D10⋊C4φ: trivial image160(C2xD10:C4).30C2320,565
(C2×D10⋊C4).31C2 = C2×C42⋊D5φ: trivial image160(C2xD10:C4).31C2320,1144

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