Extensions 1→N→G→Q→1 with N=C4○D4 and Q=D10

Direct product G=N×Q with N=C4○D4 and Q=D10
dρLabelID
C2×D5×C4○D480C2xD5xC4oD4320,1618

Semidirect products G=N:Q with N=C4○D4 and Q=D10
extensionφ:Q→Out NdρLabelID
C4○D41D10 = D815D10φ: D10/C5C22 ⊆ Out C4○D4804+C4oD4:1D10320,1441
C4○D42D10 = D811D10φ: D10/C5C22 ⊆ Out C4○D4804C4oD4:2D10320,1442
C4○D43D10 = D85D10φ: D10/C5C22 ⊆ Out C4○D4808+C4oD4:3D10320,1446
C4○D44D10 = D86D10φ: D10/C5C22 ⊆ Out C4○D4808-C4oD4:4D10320,1447
C4○D45D10 = D20.32C23φ: D10/C5C22 ⊆ Out C4○D4808+C4oD4:5D10320,1507
C4○D46D10 = D20.34C23φ: D10/C5C22 ⊆ Out C4○D4808+C4oD4:6D10320,1509
C4○D47D10 = D5×C4○D8φ: D10/D5C2 ⊆ Out C4○D4804C4oD4:7D10320,1439
C4○D48D10 = Q16⋊D10φ: D10/D5C2 ⊆ Out C4○D4804C4oD4:8D10320,1440
C4○D49D10 = D5×C8⋊C22φ: D10/D5C2 ⊆ Out C4○D4408+C4oD4:9D10320,1444
C4○D410D10 = D5×2+ 1+4φ: D10/D5C2 ⊆ Out C4○D4408+C4oD4:10D10320,1622
C4○D411D10 = D20.37C23φ: D10/D5C2 ⊆ Out C4○D4808-C4oD4:11D10320,1623
C4○D412D10 = D5×2- 1+4φ: D10/D5C2 ⊆ Out C4○D4808-C4oD4:12D10320,1624
C4○D413D10 = D20.39C23φ: D10/D5C2 ⊆ Out C4○D4808+C4oD4:13D10320,1625
C4○D414D10 = C2×D4⋊D10φ: D10/C10C2 ⊆ Out C4○D480C4oD4:14D10320,1492
C4○D415D10 = C2×D4.8D10φ: D10/C10C2 ⊆ Out C4○D4160C4oD4:15D10320,1493
C4○D416D10 = C20.C24φ: D10/C10C2 ⊆ Out C4○D4804C4oD4:16D10320,1494
C4○D417D10 = C2×D48D10φ: D10/C10C2 ⊆ Out C4○D480C4oD4:17D10320,1619
C4○D418D10 = C2×D4.10D10φ: D10/C10C2 ⊆ Out C4○D4160C4oD4:18D10320,1620
C4○D419D10 = C10.C25φ: trivial image804C4oD4:19D10320,1621

Non-split extensions G=N.Q with N=C4○D4 and Q=D10
extensionφ:Q→Out NdρLabelID
C4○D4.1D10 = D44D20φ: D10/C5C22 ⊆ Out C4○D4404+C4oD4.1D10320,449
C4○D4.2D10 = M4(2)⋊D10φ: D10/C5C22 ⊆ Out C4○D4804C4oD4.2D10320,452
C4○D4.3D10 = D4.9D20φ: D10/C5C22 ⊆ Out C4○D4804-C4oD4.3D10320,453
C4○D4.4D10 = D4.10D20φ: D10/C5C22 ⊆ Out C4○D4804C4oD4.4D10320,454
C4○D4.5D10 = D2018D4φ: D10/C5C22 ⊆ Out C4○D4408+C4oD4.5D10320,825
C4○D4.6D10 = D20.38D4φ: D10/C5C22 ⊆ Out C4○D4808-C4oD4.6D10320,828
C4○D4.7D10 = D20.39D4φ: D10/C5C22 ⊆ Out C4○D4808+C4oD4.7D10320,829
C4○D4.8D10 = D20.40D4φ: D10/C5C22 ⊆ Out C4○D4808-C4oD4.8D10320,832
C4○D4.9D10 = 2+ 1+4⋊D5φ: D10/C5C22 ⊆ Out C4○D4408+C4oD4.9D10320,868
C4○D4.10D10 = 2+ 1+4.D5φ: D10/C5C22 ⊆ Out C4○D4808-C4oD4.10D10320,869
C4○D4.11D10 = 2- 1+42D5φ: D10/C5C22 ⊆ Out C4○D4808+C4oD4.11D10320,872
C4○D4.12D10 = 2- 1+4.2D5φ: D10/C5C22 ⊆ Out C4○D4808-C4oD4.12D10320,873
C4○D4.13D10 = D20.47D4φ: D10/C5C22 ⊆ Out C4○D41604-C4oD4.13D10320,1443
C4○D4.14D10 = C40.C23φ: D10/C5C22 ⊆ Out C4○D4808+C4oD4.14D10320,1450
C4○D4.15D10 = D20.44D4φ: D10/C5C22 ⊆ Out C4○D41608-C4oD4.15D10320,1451
C4○D4.16D10 = D20.33C23φ: D10/C5C22 ⊆ Out C4○D4808-C4oD4.16D10320,1508
C4○D4.17D10 = D20.35C23φ: D10/C5C22 ⊆ Out C4○D41608-C4oD4.17D10320,1510
C4○D4.18D10 = D5×C4≀C2φ: D10/D5C2 ⊆ Out C4○D4404C4oD4.18D10320,447
C4○D4.19D10 = C42⋊D10φ: D10/D5C2 ⊆ Out C4○D4804C4oD4.19D10320,448
C4○D4.20D10 = M4(2).22D10φ: D10/D5C2 ⊆ Out C4○D4804C4oD4.20D10320,450
C4○D4.21D10 = C42.196D10φ: D10/D5C2 ⊆ Out C4○D4804C4oD4.21D10320,451
C4○D4.22D10 = D85Dic5φ: D10/D5C2 ⊆ Out C4○D4804C4oD4.22D10320,823
C4○D4.23D10 = D84Dic5φ: D10/D5C2 ⊆ Out C4○D4804C4oD4.23D10320,824
C4○D4.24D10 = M4(2).D10φ: D10/D5C2 ⊆ Out C4○D4808+C4oD4.24D10320,826
C4○D4.25D10 = M4(2).13D10φ: D10/D5C2 ⊆ Out C4○D4808-C4oD4.25D10320,827
C4○D4.26D10 = M4(2).15D10φ: D10/D5C2 ⊆ Out C4○D4808+C4oD4.26D10320,830
C4○D4.27D10 = M4(2).16D10φ: D10/D5C2 ⊆ Out C4○D41608-C4oD4.27D10320,831
C4○D4.28D10 = SD16⋊D10φ: D10/D5C2 ⊆ Out C4○D4808-C4oD4.28D10320,1445
C4○D4.29D10 = D5×C8.C22φ: D10/D5C2 ⊆ Out C4○D4808-C4oD4.29D10320,1448
C4○D4.30D10 = D40⋊C22φ: D10/D5C2 ⊆ Out C4○D4808+C4oD4.30D10320,1449
C4○D4.31D10 = D4.3D20φ: D10/C10C2 ⊆ Out C4○D4804C4oD4.31D10320,768
C4○D4.32D10 = D4.4D20φ: D10/C10C2 ⊆ Out C4○D4804+C4oD4.32D10320,769
C4○D4.33D10 = D4.5D20φ: D10/C10C2 ⊆ Out C4○D41604-C4oD4.33D10320,770
C4○D4.34D10 = C40.93D4φ: D10/C10C2 ⊆ Out C4○D4804C4oD4.34D10320,771
C4○D4.35D10 = C40.50D4φ: D10/C10C2 ⊆ Out C4○D4804C4oD4.35D10320,772
C4○D4.36D10 = C2×D42Dic5φ: D10/C10C2 ⊆ Out C4○D480C4oD4.36D10320,862
C4○D4.37D10 = (D4×C10)⋊21C4φ: D10/C10C2 ⊆ Out C4○D4804C4oD4.37D10320,863
C4○D4.38D10 = D4.11D20φ: D10/C10C2 ⊆ Out C4○D4804C4oD4.38D10320,1423
C4○D4.39D10 = D4.12D20φ: D10/C10C2 ⊆ Out C4○D4804+C4oD4.39D10320,1424
C4○D4.40D10 = D4.13D20φ: D10/C10C2 ⊆ Out C4○D41604-C4oD4.40D10320,1425
C4○D4.41D10 = C2×D4.9D10φ: D10/C10C2 ⊆ Out C4○D4160C4oD4.41D10320,1495
C4○D4.42D10 = D5×C8○D4φ: trivial image804C4oD4.42D10320,1421
C4○D4.43D10 = C20.72C24φ: trivial image804C4oD4.43D10320,1422
C4○D4.44D10 = C2×D4.Dic5φ: trivial image160C4oD4.44D10320,1490
C4○D4.45D10 = C20.76C24φ: trivial image804C4oD4.45D10320,1491

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