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Extensions 1→N→G→Q→1 with N=C4:D4 and Q=C10

Direct product G=NxQ with N=C4:D4 and Q=C10
dρLabelID
C10xC4:D4160C10xC4:D4320,1524

Semidirect products G=N:Q with N=C4:D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4:D4:1C10 = C5xC22:D8φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:1C10320,948
C4:D4:2C10 = C5xD4:D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:2C10320,950
C4:D4:3C10 = C5xC8:7D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:3C10320,967
C4:D4:4C10 = C5xC8:2D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:4C10320,970
C4:D4:5C10 = C5xC23:3D4φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:5C10320,1536
C4:D4:6C10 = C5xC22.29C24φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:6C10320,1537
C4:D4:7C10 = C5xC22.31C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:7C10320,1539
C4:D4:8C10 = C5xC22.32C24φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:8C10320,1540
C4:D4:9C10 = C5xC22.34C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:9C10320,1542
C4:D4:10C10 = C5xD42φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:10C10320,1547
C4:D4:11C10 = C5xD4:5D4φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:11C10320,1548
C4:D4:12C10 = C5xD4:6D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:12C10320,1549
C4:D4:13C10 = C5xQ8:5D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:13C10320,1550
C4:D4:14C10 = C5xQ8:6D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:14C10320,1552
C4:D4:15C10 = C5xC22.47C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:15C10320,1555
C4:D4:16C10 = C5xC22.49C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:16C10320,1557
C4:D4:17C10 = C5xC22.54C24φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4:17C10320,1562
C4:D4:18C10 = C5xC22.56C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4:18C10320,1564
C4:D4:19C10 = C5xC22.19C24φ: trivial image80C4:D4:19C10320,1527
C4:D4:20C10 = C5xC22.26C24φ: trivial image160C4:D4:20C10320,1534

Non-split extensions G=N.Q with N=C4:D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4:D4.1C10 = C5xC22.SD16φ: C10/C5 → C2 ⊆ Out C4:D480C4:D4.1C10320,132
C4:D4.2C10 = C5xQ8:D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.2C10320,949
C4:D4.3C10 = C5xC8:8D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.3C10320,966
C4:D4.4C10 = C5xC8:D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.4C10320,969
C4:D4.5C10 = C5xC22.D8φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.5C10320,981
C4:D4.6C10 = C5xC23.46D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.6C10320,982
C4:D4.7C10 = C5xC23.19D4φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.7C10320,983
C4:D4.8C10 = C5xC22.33C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.8C10320,1541
C4:D4.9C10 = C5xC22.36C24φ: C10/C5 → C2 ⊆ Out C4:D4160C4:D4.9C10320,1544
C4:D4.10C10 = C5xC23.36C23φ: trivial image160C4:D4.10C10320,1531

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