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

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

Semidirect products G=N:Q with N=C4⋊D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4⋊D41C10 = C5×C22⋊D8φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:1C10320,948
C4⋊D42C10 = C5×D4⋊D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:2C10320,950
C4⋊D43C10 = C5×C87D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:3C10320,967
C4⋊D44C10 = C5×C82D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:4C10320,970
C4⋊D45C10 = C5×C233D4φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:5C10320,1536
C4⋊D46C10 = C5×C22.29C24φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:6C10320,1537
C4⋊D47C10 = C5×C22.31C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:7C10320,1539
C4⋊D48C10 = C5×C22.32C24φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:8C10320,1540
C4⋊D49C10 = C5×C22.34C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:9C10320,1542
C4⋊D410C10 = C5×D42φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:10C10320,1547
C4⋊D411C10 = C5×D45D4φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:11C10320,1548
C4⋊D412C10 = C5×D46D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:12C10320,1549
C4⋊D413C10 = C5×Q85D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:13C10320,1550
C4⋊D414C10 = C5×Q86D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:14C10320,1552
C4⋊D415C10 = C5×C22.47C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:15C10320,1555
C4⋊D416C10 = C5×C22.49C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:16C10320,1557
C4⋊D417C10 = C5×C22.54C24φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4:17C10320,1562
C4⋊D418C10 = C5×C22.56C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4:18C10320,1564
C4⋊D419C10 = C5×C22.19C24φ: trivial image80C4:D4:19C10320,1527
C4⋊D420C10 = C5×C22.26C24φ: 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 = C5×C22.SD16φ: C10/C5C2 ⊆ Out C4⋊D480C4:D4.1C10320,132
C4⋊D4.2C10 = C5×Q8⋊D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.2C10320,949
C4⋊D4.3C10 = C5×C88D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.3C10320,966
C4⋊D4.4C10 = C5×C8⋊D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.4C10320,969
C4⋊D4.5C10 = C5×C22.D8φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.5C10320,981
C4⋊D4.6C10 = C5×C23.46D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.6C10320,982
C4⋊D4.7C10 = C5×C23.19D4φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.7C10320,983
C4⋊D4.8C10 = C5×C22.33C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.8C10320,1541
C4⋊D4.9C10 = C5×C22.36C24φ: C10/C5C2 ⊆ Out C4⋊D4160C4:D4.9C10320,1544
C4⋊D4.10C10 = C5×C23.36C23φ: trivial image160C4:D4.10C10320,1531

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