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Extensions 1→N→G→Q→1 with N=D5xC22xC4 and Q=C2

Direct product G=NxQ with N=D5xC22xC4 and Q=C2
dρLabelID
D5xC23xC4160D5xC2^3xC4320,1609

Semidirect products G=N:Q with N=D5xC22xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC22xC4):1C2 = C2xC4:D20φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):1C2320,1178
(D5xC22xC4):2C2 = C42:8D10φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):2C2320,1196
(D5xC22xC4):3C2 = D5xC4:D4φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):3C2320,1276
(D5xC22xC4):4C2 = C4:C4:21D10φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):4C2320,1278
(D5xC22xC4):5C2 = C4:C4:26D10φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):5C2320,1299
(D5xC22xC4):6C2 = C2xC20:2D4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):6C2320,1472
(D5xC22xC4):7C2 = (C2xC20):15D4φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):7C2320,1500
(D5xC22xC4):8C2 = C22xD4xD5φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):8C2320,1612
(D5xC22xC4):9C2 = C22xD4:2D5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):9C2320,1613
(D5xC22xC4):10C2 = C22xQ8:2D5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):10C2320,1616
(D5xC22xC4):11C2 = C2xD5xC4oD4φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):11C2320,1618
(D5xC22xC4):12C2 = (C2xC4):9D20φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):12C2320,292
(D5xC22xC4):13C2 = C24.12D10φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):13C2320,583
(D5xC22xC4):14C2 = C2xC4xD20φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):14C2320,1145
(D5xC22xC4):15C2 = C2xD5xC22:C4φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):15C2320,1156
(D5xC22xC4):16C2 = C2xDic5:4D4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):16C2320,1157
(D5xC22xC4):17C2 = C2xD10.12D4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):17C2320,1160
(D5xC22xC4):18C2 = C2xD10:D4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):18C2320,1161
(D5xC22xC4):19C2 = C2xD20:8C4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):19C2320,1175
(D5xC22xC4):20C2 = C2xD10.13D4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):20C2320,1177
(D5xC22xC4):21C2 = C4xD4xD5φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):21C2320,1216
(D5xC22xC4):22C2 = C42:12D10φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):22C2320,1219
(D5xC22xC4):23C2 = D5xC22.D4φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):23C2320,1324
(D5xC22xC4):24C2 = C4:C4:28D10φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4):24C2320,1328
(D5xC22xC4):25C2 = C2xC4xC5:D4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):25C2320,1460
(D5xC22xC4):26C2 = C22xC4oD20φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4):26C2320,1611

Non-split extensions G=N.Q with N=D5xC22xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC22xC4).1C2 = D10:4(C4:C4)φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).1C2320,614
(D5xC22xC4).2C2 = D10:8M4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).2C2320,753
(D5xC22xC4).3C2 = C2xD5xC4:C4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).3C2320,1173
(D5xC22xC4).4C2 = C2xC4:C4:7D5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).4C2320,1174
(D5xC22xC4).5C2 = C2xD10:2Q8φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).5C2320,1181
(D5xC22xC4).6C2 = D5xC42:C2φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).6C2320,1192
(D5xC22xC4).7C2 = D5xC22:Q8φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).7C2320,1298
(D5xC22xC4).8C2 = C2xD5xM4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).8C2320,1415
(D5xC22xC4).9C2 = C2xD10:3Q8φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).9C2320,1485
(D5xC22xC4).10C2 = C22xQ8xD5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).10C2320,1615
(D5xC22xC4).11C2 = D5xC2.C42φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).11C2320,290
(D5xC22xC4).12C2 = C22.58(D4xD5)φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).12C2320,291
(D5xC22xC4).13C2 = D10:2C42φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).13C2320,293
(D5xC22xC4).14C2 = D10:2(C4:C4)φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).14C2320,294
(D5xC22xC4).15C2 = D10:3(C4:C4)φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).15C2320,295
(D5xC22xC4).16C2 = D5xC22:C8φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).16C2320,351
(D5xC22xC4).17C2 = D10:7M4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).17C2320,353
(D5xC22xC4).18C2 = C4xD10:C4φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).18C2320,565
(D5xC22xC4).19C2 = D10:5(C4:C4)φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).19C2320,616
(D5xC22xC4).20C2 = C2xD10:1C8φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).20C2320,735
(D5xC22xC4).21C2 = C2xD10:C8φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).21C2320,1089
(D5xC22xC4).22C2 = D10:9M4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).22C2320,1093
(D5xC22xC4).23C2 = C2xD10.3Q8φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).23C2320,1100
(D5xC22xC4).24C2 = (C22xC4):7F5φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).24C2320,1102
(D5xC22xC4).25C2 = C2xC42:D5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).25C2320,1144
(D5xC22xC4).26C2 = C2xD10:Q8φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).26C2320,1180
(D5xC22xC4).27C2 = C22xC8:D5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).27C2320,1409
(D5xC22xC4).28C2 = D10:10M4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).28C2320,1094
(D5xC22xC4).29C2 = D10:6(C4:C4)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).29C2320,1103
(D5xC22xC4).30C2 = C22xC4.F5φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).30C2320,1588
(D5xC22xC4).31C2 = C22xC4:F5φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).31C2320,1591
(D5xC22xC4).32C2 = C2xD5:M4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).32C2320,1589
(D5xC22xC4).33C2 = C2xD10.C23φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).33C2320,1592
(D5xC22xC4).34C2 = D10.11M4(2)φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).34C2320,1091
(D5xC22xC4).35C2 = C4xC22:F5φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).35C2320,1101
(D5xC22xC4).36C2 = C22xD5:C8φ: C2/C1 → C2 ⊆ Out D5xC22xC4160(D5xC2^2xC4).36C2320,1587
(D5xC22xC4).37C2 = C22xC4xF5φ: C2/C1 → C2 ⊆ Out D5xC22xC480(D5xC2^2xC4).37C2320,1590
(D5xC22xC4).38C2 = D5xC2xC42φ: trivial image160(D5xC2^2xC4).38C2320,1143
(D5xC22xC4).39C2 = D5xC22xC8φ: trivial image160(D5xC2^2xC4).39C2320,1408

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