# Extensions 1→N→G→Q→1 with N=C5⋊2C8 and Q=C23

Direct product G=N×Q with N=C52C8 and Q=C23
dρLabelID
C23×C52C8320C2^3xC5:2C8320,1452

Semidirect products G=N:Q with N=C52C8 and Q=C23
extensionφ:Q→Out NdρLabelID
C52C81C23 = C2×D8⋊D5φ: C23/C2C22 ⊆ Out C52C880C5:2C8:1C2^3320,1427
C52C82C23 = C2×D40⋊C2φ: C23/C2C22 ⊆ Out C52C880C5:2C8:2C2^3320,1431
C52C83C23 = D5×C8⋊C22φ: C23/C2C22 ⊆ Out C52C8408+C5:2C8:3C2^3320,1444
C52C84C23 = C2×D4.D10φ: C23/C2C22 ⊆ Out C52C880C5:2C8:4C2^3320,1465
C52C85C23 = C2×D4⋊D10φ: C23/C2C22 ⊆ Out C52C880C5:2C8:5C2^3320,1492
C52C86C23 = C2×D5×D8φ: C23/C22C2 ⊆ Out C52C880C5:2C8:6C2^3320,1426
C52C87C23 = C2×D5×SD16φ: C23/C22C2 ⊆ Out C52C880C5:2C8:7C2^3320,1430
C52C88C23 = C22×D4⋊D5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8:8C2^3320,1464
C52C89C23 = C22×D4.D5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8:9C2^3320,1466
C52C810C23 = C22×Q8⋊D5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8:10C2^3320,1479
C52C811C23 = C22×C8⋊D5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8:11C2^3320,1409
C52C812C23 = C2×D5×M4(2)φ: C23/C22C2 ⊆ Out C52C880C5:2C8:12C2^3320,1415
C52C813C23 = C22×C4.Dic5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8:13C2^3320,1453
C52C814C23 = D5×C22×C8φ: trivial image160C5:2C8:14C2^3320,1408

Non-split extensions G=N.Q with N=C52C8 and Q=C23
extensionφ:Q→Out NdρLabelID
C52C8.1C23 = D813D10φ: C23/C2C22 ⊆ Out C52C8804C5:2C8.1C2^3320,1429
C52C8.2C23 = C2×SD16⋊D5φ: C23/C2C22 ⊆ Out C52C8160C5:2C8.2C2^3320,1432
C52C8.3C23 = D20.29D4φ: C23/C2C22 ⊆ Out C52C8804C5:2C8.3C2^3320,1434
C52C8.4C23 = C2×Q16⋊D5φ: C23/C2C22 ⊆ Out C52C8160C5:2C8.4C2^3320,1436
C52C8.5C23 = D20.30D4φ: C23/C2C22 ⊆ Out C52C81604C5:2C8.5C2^3320,1438
C52C8.6C23 = Q16⋊D10φ: C23/C2C22 ⊆ Out C52C8804C5:2C8.6C2^3320,1440
C52C8.7C23 = D815D10φ: C23/C2C22 ⊆ Out C52C8804+C5:2C8.7C2^3320,1441
C52C8.8C23 = D811D10φ: C23/C2C22 ⊆ Out C52C8804C5:2C8.8C2^3320,1442
C52C8.9C23 = D20.47D4φ: C23/C2C22 ⊆ Out C52C81604-C5:2C8.9C2^3320,1443
C52C8.10C23 = SD16⋊D10φ: C23/C2C22 ⊆ Out C52C8808-C5:2C8.10C2^3320,1445
C52C8.11C23 = D5×C8.C22φ: C23/C2C22 ⊆ Out C52C8808-C5:2C8.11C2^3320,1448
C52C8.12C23 = D40⋊C22φ: C23/C2C22 ⊆ Out C52C8808+C5:2C8.12C2^3320,1449
C52C8.13C23 = C2×C20.C23φ: C23/C2C22 ⊆ Out C52C8160C5:2C8.13C2^3320,1480
C52C8.14C23 = C20.C24φ: C23/C2C22 ⊆ Out C52C8804C5:2C8.14C2^3320,1494
C52C8.15C23 = C2×D4.9D10φ: C23/C2C22 ⊆ Out C52C8160C5:2C8.15C2^3320,1495
C52C8.16C23 = D20.32C23φ: C23/C2C22 ⊆ Out C52C8808+C5:2C8.16C2^3320,1507
C52C8.17C23 = D20.33C23φ: C23/C2C22 ⊆ Out C52C8808-C5:2C8.17C2^3320,1508
C52C8.18C23 = D20.34C23φ: C23/C2C22 ⊆ Out C52C8808+C5:2C8.18C2^3320,1509
C52C8.19C23 = D20.35C23φ: C23/C2C22 ⊆ Out C52C81608-C5:2C8.19C2^3320,1510
C52C8.20C23 = C2×D83D5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.20C2^3320,1428
C52C8.21C23 = C2×SD163D5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.21C2^3320,1433
C52C8.22C23 = C2×D5×Q16φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.22C2^3320,1435
C52C8.23C23 = C2×Q8.D10φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.23C2^3320,1437
C52C8.24C23 = D5×C4○D8φ: C23/C22C2 ⊆ Out C52C8804C5:2C8.24C2^3320,1439
C52C8.25C23 = D85D10φ: C23/C22C2 ⊆ Out C52C8808+C5:2C8.25C2^3320,1446
C52C8.26C23 = D86D10φ: C23/C22C2 ⊆ Out C52C8808-C5:2C8.26C2^3320,1447
C52C8.27C23 = C40.C23φ: C23/C22C2 ⊆ Out C52C8808+C5:2C8.27C2^3320,1450
C52C8.28C23 = D20.44D4φ: C23/C22C2 ⊆ Out C52C81608-C5:2C8.28C2^3320,1451
C52C8.29C23 = C22×C5⋊Q16φ: C23/C22C2 ⊆ Out C52C8320C5:2C8.29C2^3320,1481
C52C8.30C23 = C2×D4.8D10φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.30C2^3320,1493
C52C8.31C23 = C2×D20.3C4φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.31C2^3320,1410
C52C8.32C23 = C40.47C23φ: C23/C22C2 ⊆ Out C52C8804C5:2C8.32C2^3320,1417
C52C8.33C23 = C20.72C24φ: C23/C22C2 ⊆ Out C52C8804C5:2C8.33C2^3320,1422
C52C8.34C23 = C20.76C24φ: C23/C22C2 ⊆ Out C52C8804C5:2C8.34C2^3320,1491
C52C8.35C23 = C2×D5⋊C16φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.35C2^3320,1051
C52C8.36C23 = C2×C8.F5φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.36C2^3320,1052
C52C8.37C23 = D5⋊M5(2)φ: C23/C22C2 ⊆ Out C52C8804C5:2C8.37C2^3320,1053
C52C8.38C23 = Dic10.C8φ: C23/C22C2 ⊆ Out C52C81608C5:2C8.38C2^3320,1063
C52C8.39C23 = C22×C5⋊C16φ: C23/C22C2 ⊆ Out C52C8320C5:2C8.39C2^3320,1080
C52C8.40C23 = C2×C20.C8φ: C23/C22C2 ⊆ Out C52C8160C5:2C8.40C2^3320,1081
C52C8.41C23 = C5⋊C16.C22φ: C23/C22C2 ⊆ Out C52C81608C5:2C8.41C2^3320,1129
C52C8.42C23 = C2×D20.2C4φ: trivial image160C5:2C8.42C2^3320,1416
C52C8.43C23 = D5×C8○D4φ: trivial image804C5:2C8.43C2^3320,1421
C52C8.44C23 = C2×D4.Dic5φ: trivial image160C5:2C8.44C2^3320,1490

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