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Extensions 1→N→G→Q→1 with N=C10xC22:C4 and Q=C2

Direct product G=NxQ with N=C10xC22:C4 and Q=C2
dρLabelID
C22:C4xC2xC10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C10xC22:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xC22:C4):1C2 = C2xC23.1D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):1C2320,581
(C10xC22:C4):2C2 = C24.48D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):2C2320,582
(C10xC22:C4):3C2 = C23.45D20φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):3C2320,585
(C10xC22:C4):4C2 = C24.14D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):4C2320,586
(C10xC22:C4):5C2 = C5xC24:3C4φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):5C2320,880
(C10xC22:C4):6C2 = C5xC23.23D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):6C2320,887
(C10xC22:C4):7C2 = C5xC24.3C22φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):7C2320,891
(C10xC22:C4):8C2 = C5xC23.10D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):8C2320,895
(C10xC22:C4):9C2 = C10xC23:C4φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):9C2320,910
(C10xC22:C4):10C2 = C5xC22.11C24φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):10C2320,1520
(C10xC22:C4):11C2 = C23:2D20φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):11C2320,587
(C10xC22:C4):12C2 = C24.16D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):12C2320,588
(C10xC22:C4):13C2 = C2xC22:D20φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):13C2320,1159
(C10xC22:C4):14C2 = C2xC22.D20φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):14C2320,1164
(C10xC22:C4):15C2 = C23:3D20φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):15C2320,1165
(C10xC22:C4):16C2 = C2xD10.12D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):16C2320,1160
(C10xC22:C4):17C2 = C2xD10:D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):17C2320,1161
(C10xC22:C4):18C2 = C24.27D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):18C2320,1162
(C10xC22:C4):19C2 = C2xDic5.5D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):19C2320,1163
(C10xC22:C4):20C2 = C24.30D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):20C2320,1166
(C10xC22:C4):21C2 = C24.31D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):21C2320,1167
(C10xC22:C4):22C2 = C24.12D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):22C2320,583
(C10xC22:C4):23C2 = C24.13D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):23C2320,584
(C10xC22:C4):24C2 = C2xD5xC22:C4φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):24C2320,1156
(C10xC22:C4):25C2 = C2xDic5:4D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):25C2320,1157
(C10xC22:C4):26C2 = C24.24D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):26C2320,1158
(C10xC22:C4):27C2 = C5xC23:2D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):27C2320,893
(C10xC22:C4):28C2 = C10xC22wrC2φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):28C2320,1523
(C10xC22:C4):29C2 = C10xC4:D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):29C2320,1524
(C10xC22:C4):30C2 = C10xC22.D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):30C2320,1526
(C10xC22:C4):31C2 = C10xC4.4D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4):31C2320,1528
(C10xC22:C4):32C2 = C5xC23:3D4φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):32C2320,1536
(C10xC22:C4):33C2 = C5xC22.32C24φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):33C2320,1540
(C10xC22:C4):34C2 = C5xD4:5D4φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):34C2320,1548
(C10xC22:C4):35C2 = C5xC22.45C24φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4):35C2320,1553
(C10xC22:C4):36C2 = D4xC2xC20φ: trivial image160(C10xC2^2:C4):36C2320,1517

Non-split extensions G=N.Q with N=C10xC22:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xC22:C4).1C2 = C24.D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).1C2320,84
(C10xC22:C4).2C2 = C24.2D10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).2C2320,85
(C10xC22:C4).3C2 = C5xC23:C8φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).3C2320,128
(C10xC22:C4).4C2 = C5xC23.9D4φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).4C2320,147
(C10xC22:C4).5C2 = C24.44D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).5C2320,569
(C10xC22:C4).6C2 = C23.42D20φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).6C2320,570
(C10xC22:C4).7C2 = C24.46D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).7C2320,573
(C10xC22:C4).8C2 = C24.9D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).8C2320,579
(C10xC22:C4).9C2 = C5xC23.7Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).9C2320,881
(C10xC22:C4).10C2 = C5xC23.34D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).10C2320,882
(C10xC22:C4).11C2 = C5xC23.8Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).11C2320,886
(C10xC22:C4).12C2 = C23:Dic10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).12C2320,574
(C10xC22:C4).13C2 = C24.6D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).13C2320,575
(C10xC22:C4).14C2 = C24.7D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).14C2320,576
(C10xC22:C4).15C2 = C24.47D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).15C2320,577
(C10xC22:C4).16C2 = C23.14D20φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).16C2320,580
(C10xC22:C4).17C2 = C2xDic5.14D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).17C2320,1153
(C10xC22:C4).18C2 = C23:2Dic10φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).18C2320,1155
(C10xC22:C4).19C2 = C24.8D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).19C2320,578
(C10xC22:C4).20C2 = C2xC23.D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).20C2320,1154
(C10xC22:C4).21C2 = C24.Dic5φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).21C2320,83
(C10xC22:C4).22C2 = C22:C4xDic5φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).22C2320,568
(C10xC22:C4).23C2 = C24.3D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).23C2320,571
(C10xC22:C4).24C2 = C24.4D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).24C2320,572
(C10xC22:C4).25C2 = C2xC23.11D10φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).25C2320,1152
(C10xC22:C4).26C2 = C5xC24.C22φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).26C2320,889
(C10xC22:C4).27C2 = C5xC23:Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).27C2320,894
(C10xC22:C4).28C2 = C5xC23.Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).28C2320,897
(C10xC22:C4).29C2 = C5xC23.11D4φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).29C2320,898
(C10xC22:C4).30C2 = C5xC23.4Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).30C2320,900
(C10xC22:C4).31C2 = C10xC22:Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).31C2320,1525
(C10xC22:C4).32C2 = C10xC42:2C2φ: C2/C1 → C2 ⊆ Out C10xC22:C4160(C10xC2^2:C4).32C2320,1530
(C10xC22:C4).33C2 = C5xC23:2Q8φ: C2/C1 → C2 ⊆ Out C10xC22:C480(C10xC2^2:C4).33C2320,1545
(C10xC22:C4).34C2 = C22:C4xC20φ: trivial image160(C10xC2^2:C4).34C2320,878
(C10xC22:C4).35C2 = C10xC42:C2φ: trivial image160(C10xC2^2:C4).35C2320,1516

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