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Extensions 1→N→G→Q→1 with N=D4 and Q=C22×D5

Direct product G=N×Q with N=D4 and Q=C22×D5
dρLabelID
C22×D4×D580C2^2xD4xD5320,1612

Semidirect products G=N:Q with N=D4 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
D4⋊1(C22×D5) = C2×D5×D8φ: C22×D5/D10 → C2 ⊆ Out D480D4:1(C2^2xD5)320,1426
D4⋊2(C22×D5) = C2×D8⋊D5φ: C22×D5/D10 → C2 ⊆ Out D480D4:2(C2^2xD5)320,1427
D4⋊3(C22×D5) = D5×C8⋊C22φ: C22×D5/D10 → C2 ⊆ Out D4408+D4:3(C2^2xD5)320,1444
D4⋊4(C22×D5) = C22×D4⋊D5φ: C22×D5/C2×C10 → C2 ⊆ Out D4160D4:4(C2^2xD5)320,1464
D4⋊5(C22×D5) = C2×D4⋊D10φ: C22×D5/C2×C10 → C2 ⊆ Out D480D4:5(C2^2xD5)320,1492
D4⋊6(C22×D5) = C22×D4⋊2D5φ: trivial image160D4:6(C2^2xD5)320,1613
D4⋊7(C22×D5) = C2×D4⋊6D10φ: trivial image80D4:7(C2^2xD5)320,1614
D4⋊8(C22×D5) = C2×D5×C4○D4φ: trivial image80D4:8(C2^2xD5)320,1618
D4⋊9(C22×D5) = C2×D4⋊8D10φ: trivial image80D4:9(C2^2xD5)320,1619
D4⋊10(C22×D5) = D5×2+ 1+4φ: trivial image408+D4:10(C2^2xD5)320,1622

Non-split extensions G=N.Q with N=D4 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
D4.1(C22×D5) = C2×D8⋊3D5φ: C22×D5/D10 → C2 ⊆ Out D4160D4.1(C2^2xD5)320,1428
D4.2(C22×D5) = D8⋊13D10φ: C22×D5/D10 → C2 ⊆ Out D4804D4.2(C2^2xD5)320,1429
D4.3(C22×D5) = C2×D5×SD16φ: C22×D5/D10 → C2 ⊆ Out D480D4.3(C2^2xD5)320,1430
D4.4(C22×D5) = C2×D40⋊C2φ: C22×D5/D10 → C2 ⊆ Out D480D4.4(C2^2xD5)320,1431
D4.5(C22×D5) = C2×SD16⋊D5φ: C22×D5/D10 → C2 ⊆ Out D4160D4.5(C2^2xD5)320,1432
D4.6(C22×D5) = C2×SD16⋊3D5φ: C22×D5/D10 → C2 ⊆ Out D4160D4.6(C2^2xD5)320,1433
D4.7(C22×D5) = D20.29D4φ: C22×D5/D10 → C2 ⊆ Out D4804D4.7(C2^2xD5)320,1434
D4.8(C22×D5) = D5×C4○D8φ: C22×D5/D10 → C2 ⊆ Out D4804D4.8(C2^2xD5)320,1439
D4.9(C22×D5) = Q16⋊D10φ: C22×D5/D10 → C2 ⊆ Out D4804D4.9(C2^2xD5)320,1440
D4.10(C22×D5) = D8⋊15D10φ: C22×D5/D10 → C2 ⊆ Out D4804+D4.10(C2^2xD5)320,1441
D4.11(C22×D5) = D8⋊11D10φ: C22×D5/D10 → C2 ⊆ Out D4804D4.11(C2^2xD5)320,1442
D4.12(C22×D5) = D20.47D4φ: C22×D5/D10 → C2 ⊆ Out D41604-D4.12(C2^2xD5)320,1443
D4.13(C22×D5) = SD16⋊D10φ: C22×D5/D10 → C2 ⊆ Out D4808-D4.13(C2^2xD5)320,1445
D4.14(C22×D5) = D8⋊5D10φ: C22×D5/D10 → C2 ⊆ Out D4808+D4.14(C2^2xD5)320,1446
D4.15(C22×D5) = D8⋊6D10φ: C22×D5/D10 → C2 ⊆ Out D4808-D4.15(C2^2xD5)320,1447
D4.16(C22×D5) = D5×C8.C22φ: C22×D5/D10 → C2 ⊆ Out D4808-D4.16(C2^2xD5)320,1448
D4.17(C22×D5) = D40⋊C22φ: C22×D5/D10 → C2 ⊆ Out D4808+D4.17(C2^2xD5)320,1449
D4.18(C22×D5) = C40.C23φ: C22×D5/D10 → C2 ⊆ Out D4808+D4.18(C2^2xD5)320,1450
D4.19(C22×D5) = D20.44D4φ: C22×D5/D10 → C2 ⊆ Out D41608-D4.19(C2^2xD5)320,1451
D4.20(C22×D5) = C2×D4.D10φ: C22×D5/C2×C10 → C2 ⊆ Out D480D4.20(C2^2xD5)320,1465
D4.21(C22×D5) = C22×D4.D5φ: C22×D5/C2×C10 → C2 ⊆ Out D4160D4.21(C2^2xD5)320,1466
D4.22(C22×D5) = C2×D4.8D10φ: C22×D5/C2×C10 → C2 ⊆ Out D4160D4.22(C2^2xD5)320,1493
D4.23(C22×D5) = C20.C24φ: C22×D5/C2×C10 → C2 ⊆ Out D4804D4.23(C2^2xD5)320,1494
D4.24(C22×D5) = C2×D4.9D10φ: C22×D5/C2×C10 → C2 ⊆ Out D4160D4.24(C2^2xD5)320,1495
D4.25(C22×D5) = D20.32C23φ: C22×D5/C2×C10 → C2 ⊆ Out D4808+D4.25(C2^2xD5)320,1507
D4.26(C22×D5) = D20.33C23φ: C22×D5/C2×C10 → C2 ⊆ Out D4808-D4.26(C2^2xD5)320,1508
D4.27(C22×D5) = D20.34C23φ: C22×D5/C2×C10 → C2 ⊆ Out D4808+D4.27(C2^2xD5)320,1509
D4.28(C22×D5) = D20.35C23φ: C22×D5/C2×C10 → C2 ⊆ Out D41608-D4.28(C2^2xD5)320,1510
D4.29(C22×D5) = C2×D4.10D10φ: trivial image160D4.29(C2^2xD5)320,1620
D4.30(C22×D5) = C10.C25φ: trivial image804D4.30(C2^2xD5)320,1621
D4.31(C22×D5) = D20.37C23φ: trivial image808-D4.31(C2^2xD5)320,1623
D4.32(C22×D5) = D5×2- 1+4φ: trivial image808-D4.32(C2^2xD5)320,1624
D4.33(C22×D5) = D20.39C23φ: trivial image808+D4.33(C2^2xD5)320,1625

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