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Extensions 1→N→G→Q→1 with N=Q8 and Q=C22×D5

Direct product G=N×Q with N=Q8 and Q=C22×D5
dρLabelID
C22×Q8×D5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=Q8 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
Q8⋊1(C22×D5) = C2×D5×SD16φ: C22×D5/D10 → C2 ⊆ Out Q880Q8:1(C2^2xD5)320,1430
Q8⋊2(C22×D5) = C2×D40⋊C2φ: C22×D5/D10 → C2 ⊆ Out Q880Q8:2(C2^2xD5)320,1431
Q8⋊3(C22×D5) = D5×C8⋊C22φ: C22×D5/D10 → C2 ⊆ Out Q8408+Q8:3(C2^2xD5)320,1444
Q8⋊4(C22×D5) = C22×Q8⋊D5φ: C22×D5/C2×C10 → C2 ⊆ Out Q8160Q8:4(C2^2xD5)320,1479
Q8⋊5(C22×D5) = C2×D4⋊D10φ: C22×D5/C2×C10 → C2 ⊆ Out Q880Q8:5(C2^2xD5)320,1492
Q8⋊6(C22×D5) = C22×Q8⋊2D5φ: trivial image160Q8:6(C2^2xD5)320,1616
Q8⋊7(C22×D5) = C2×D5×C4○D4φ: trivial image80Q8:7(C2^2xD5)320,1618
Q8⋊8(C22×D5) = C2×D4⋊8D10φ: trivial image80Q8:8(C2^2xD5)320,1619
Q8⋊9(C22×D5) = D5×2+ 1+4φ: trivial image408+Q8:9(C2^2xD5)320,1622

Non-split extensions G=N.Q with N=Q8 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
Q8.1(C22×D5) = C2×SD16⋊D5φ: C22×D5/D10 → C2 ⊆ Out Q8160Q8.1(C2^2xD5)320,1432
Q8.2(C22×D5) = C2×SD16⋊3D5φ: C22×D5/D10 → C2 ⊆ Out Q8160Q8.2(C2^2xD5)320,1433
Q8.3(C22×D5) = D20.29D4φ: C22×D5/D10 → C2 ⊆ Out Q8804Q8.3(C2^2xD5)320,1434
Q8.4(C22×D5) = C2×D5×Q16φ: C22×D5/D10 → C2 ⊆ Out Q8160Q8.4(C2^2xD5)320,1435
Q8.5(C22×D5) = C2×Q16⋊D5φ: C22×D5/D10 → C2 ⊆ Out Q8160Q8.5(C2^2xD5)320,1436
Q8.6(C22×D5) = C2×Q8.D10φ: C22×D5/D10 → C2 ⊆ Out Q8160Q8.6(C2^2xD5)320,1437
Q8.7(C22×D5) = D20.30D4φ: C22×D5/D10 → C2 ⊆ Out Q81604Q8.7(C2^2xD5)320,1438
Q8.8(C22×D5) = D5×C4○D8φ: C22×D5/D10 → C2 ⊆ Out Q8804Q8.8(C2^2xD5)320,1439
Q8.9(C22×D5) = Q16⋊D10φ: C22×D5/D10 → C2 ⊆ Out Q8804Q8.9(C2^2xD5)320,1440
Q8.10(C22×D5) = D8⋊15D10φ: C22×D5/D10 → C2 ⊆ Out Q8804+Q8.10(C2^2xD5)320,1441
Q8.11(C22×D5) = D8⋊11D10φ: C22×D5/D10 → C2 ⊆ Out Q8804Q8.11(C2^2xD5)320,1442
Q8.12(C22×D5) = D20.47D4φ: C22×D5/D10 → C2 ⊆ Out Q81604-Q8.12(C2^2xD5)320,1443
Q8.13(C22×D5) = SD16⋊D10φ: C22×D5/D10 → C2 ⊆ Out Q8808-Q8.13(C2^2xD5)320,1445
Q8.14(C22×D5) = D8⋊5D10φ: C22×D5/D10 → C2 ⊆ Out Q8808+Q8.14(C2^2xD5)320,1446
Q8.15(C22×D5) = D8⋊6D10φ: C22×D5/D10 → C2 ⊆ Out Q8808-Q8.15(C2^2xD5)320,1447
Q8.16(C22×D5) = D5×C8.C22φ: C22×D5/D10 → C2 ⊆ Out Q8808-Q8.16(C2^2xD5)320,1448
Q8.17(C22×D5) = D40⋊C22φ: C22×D5/D10 → C2 ⊆ Out Q8808+Q8.17(C2^2xD5)320,1449
Q8.18(C22×D5) = C40.C23φ: C22×D5/D10 → C2 ⊆ Out Q8808+Q8.18(C2^2xD5)320,1450
Q8.19(C22×D5) = D20.44D4φ: C22×D5/D10 → C2 ⊆ Out Q81608-Q8.19(C2^2xD5)320,1451
Q8.20(C22×D5) = C2×C20.C23φ: C22×D5/C2×C10 → C2 ⊆ Out Q8160Q8.20(C2^2xD5)320,1480
Q8.21(C22×D5) = C22×C5⋊Q16φ: C22×D5/C2×C10 → C2 ⊆ Out Q8320Q8.21(C2^2xD5)320,1481
Q8.22(C22×D5) = C2×D4.8D10φ: C22×D5/C2×C10 → C2 ⊆ Out Q8160Q8.22(C2^2xD5)320,1493
Q8.23(C22×D5) = C20.C24φ: C22×D5/C2×C10 → C2 ⊆ Out Q8804Q8.23(C2^2xD5)320,1494
Q8.24(C22×D5) = C2×D4.9D10φ: C22×D5/C2×C10 → C2 ⊆ Out Q8160Q8.24(C2^2xD5)320,1495
Q8.25(C22×D5) = D20.32C23φ: C22×D5/C2×C10 → C2 ⊆ Out Q8808+Q8.25(C2^2xD5)320,1507
Q8.26(C22×D5) = D20.33C23φ: C22×D5/C2×C10 → C2 ⊆ Out Q8808-Q8.26(C2^2xD5)320,1508
Q8.27(C22×D5) = D20.34C23φ: C22×D5/C2×C10 → C2 ⊆ Out Q8808+Q8.27(C2^2xD5)320,1509
Q8.28(C22×D5) = D20.35C23φ: C22×D5/C2×C10 → C2 ⊆ Out Q81608-Q8.28(C2^2xD5)320,1510
Q8.29(C22×D5) = C2×Q8.10D10φ: trivial image160Q8.29(C2^2xD5)320,1617
Q8.30(C22×D5) = C2×D4.10D10φ: trivial image160Q8.30(C2^2xD5)320,1620
Q8.31(C22×D5) = C10.C25φ: trivial image804Q8.31(C2^2xD5)320,1621
Q8.32(C22×D5) = D20.37C23φ: trivial image808-Q8.32(C2^2xD5)320,1623
Q8.33(C22×D5) = D5×2- 1+4φ: trivial image808-Q8.33(C2^2xD5)320,1624
Q8.34(C22×D5) = D20.39C23φ: trivial image808+Q8.34(C2^2xD5)320,1625

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