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Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C2×C6

Direct product G=N×Q with N=C22⋊C4 and Q=C2×C6
dρLabelID
C2×C6×C22⋊C496C2xC6xC2^2:C4192,1401

Semidirect products G=N:Q with N=C22⋊C4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C22⋊C4⋊1(C2×C6) = C3×C2≀C22φ: C2×C6/C3 → C22 ⊆ Out C22⋊C4244C2^2:C4:1(C2xC6)192,890
C22⋊C4⋊2(C2×C6) = C3×C23.7D4φ: C2×C6/C3 → C22 ⊆ Out C22⋊C4484C2^2:C4:2(C2xC6)192,891
C22⋊C4⋊3(C2×C6) = C3×C23⋊3D4φ: C2×C6/C3 → C22 ⊆ Out C22⋊C448C2^2:C4:3(C2xC6)192,1423
C22⋊C4⋊4(C2×C6) = C3×C22.29C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C448C2^2:C4:4(C2xC6)192,1424
C22⋊C4⋊5(C2×C6) = C3×D42φ: C2×C6/C3 → C22 ⊆ Out C22⋊C448C2^2:C4:5(C2xC6)192,1434
C22⋊C4⋊6(C2×C6) = C3×C22.45C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C448C2^2:C4:6(C2xC6)192,1440
C22⋊C4⋊7(C2×C6) = C3×C22.54C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C448C2^2:C4:7(C2xC6)192,1449
C22⋊C4⋊8(C2×C6) = C3×C24⋊C22φ: C2×C6/C3 → C22 ⊆ Out C22⋊C448C2^2:C4:8(C2xC6)192,1450
C22⋊C4⋊9(C2×C6) = C6×C23⋊C4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C448C2^2:C4:9(C2xC6)192,842
C22⋊C4⋊10(C2×C6) = C6×C22≀C2φ: C2×C6/C6 → C2 ⊆ Out C22⋊C448C2^2:C4:10(C2xC6)192,1410
C22⋊C4⋊11(C2×C6) = C6×C4⋊D4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4:11(C2xC6)192,1411
C22⋊C4⋊12(C2×C6) = C6×C22.D4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4:12(C2xC6)192,1413
C22⋊C4⋊13(C2×C6) = C3×C22.19C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C448C2^2:C4:13(C2xC6)192,1414
C22⋊C4⋊14(C2×C6) = C6×C4.4D4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4:14(C2xC6)192,1415
C22⋊C4⋊15(C2×C6) = C3×C22.32C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C448C2^2:C4:15(C2xC6)192,1427
C22⋊C4⋊16(C2×C6) = C3×D4⋊5D4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C448C2^2:C4:16(C2xC6)192,1435
C22⋊C4⋊17(C2×C6) = D4×C2×C12φ: trivial image96C2^2:C4:17(C2xC6)192,1404
C22⋊C4⋊18(C2×C6) = C3×C22.11C24φ: trivial image48C2^2:C4:18(C2xC6)192,1407

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C22⋊C4.1(C2×C6) = C3×C23.38C23φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.1(C2xC6)192,1425
C22⋊C4.2(C2×C6) = C3×C22.31C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.2(C2xC6)192,1426
C22⋊C4.3(C2×C6) = C3×C22.35C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.3(C2xC6)192,1430
C22⋊C4.4(C2×C6) = C3×C22.36C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.4(C2xC6)192,1431
C22⋊C4.5(C2×C6) = C3×D4⋊6D4φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.5(C2xC6)192,1436
C22⋊C4.6(C2×C6) = C3×C22.50C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.6(C2xC6)192,1445
C22⋊C4.7(C2×C6) = C3×C22.56C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.7(C2xC6)192,1451
C22⋊C4.8(C2×C6) = C3×C22.57C24φ: C2×C6/C3 → C22 ⊆ Out C22⋊C496C2^2:C4.8(C2xC6)192,1452
C22⋊C4.9(C2×C6) = C3×C23.C23φ: C2×C6/C6 → C2 ⊆ Out C22⋊C4484C2^2:C4.9(C2xC6)192,843
C22⋊C4.10(C2×C6) = C6×C22⋊Q8φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.10(C2xC6)192,1412
C22⋊C4.11(C2×C6) = C6×C42⋊2C2φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.11(C2xC6)192,1417
C22⋊C4.12(C2×C6) = C3×C23.36C23φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.12(C2xC6)192,1418
C22⋊C4.13(C2×C6) = C3×C22.26C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.13(C2xC6)192,1421
C22⋊C4.14(C2×C6) = C3×C23.37C23φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.14(C2xC6)192,1422
C22⋊C4.15(C2×C6) = C3×C22.33C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.15(C2xC6)192,1428
C22⋊C4.16(C2×C6) = C3×C22.34C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.16(C2xC6)192,1429
C22⋊C4.17(C2×C6) = C3×C23⋊2Q8φ: C2×C6/C6 → C2 ⊆ Out C22⋊C448C2^2:C4.17(C2xC6)192,1432
C22⋊C4.18(C2×C6) = C3×C23.41C23φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.18(C2xC6)192,1433
C22⋊C4.19(C2×C6) = C3×Q8⋊5D4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.19(C2xC6)192,1437
C22⋊C4.20(C2×C6) = C3×D4×Q8φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.20(C2xC6)192,1438
C22⋊C4.21(C2×C6) = C3×Q8⋊6D4φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.21(C2xC6)192,1439
C22⋊C4.22(C2×C6) = C3×C22.46C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.22(C2xC6)192,1441
C22⋊C4.23(C2×C6) = C3×C22.47C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.23(C2xC6)192,1442
C22⋊C4.24(C2×C6) = C3×D4⋊3Q8φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.24(C2xC6)192,1443
C22⋊C4.25(C2×C6) = C3×C22.49C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.25(C2xC6)192,1444
C22⋊C4.26(C2×C6) = C3×C22.53C24φ: C2×C6/C6 → C2 ⊆ Out C22⋊C496C2^2:C4.26(C2xC6)192,1448
C22⋊C4.27(C2×C6) = C6×C42⋊C2φ: trivial image96C2^2:C4.27(C2xC6)192,1403
C22⋊C4.28(C2×C6) = C12×C4○D4φ: trivial image96C2^2:C4.28(C2xC6)192,1406
C22⋊C4.29(C2×C6) = C3×C23.32C23φ: trivial image96C2^2:C4.29(C2xC6)192,1408
C22⋊C4.30(C2×C6) = C3×C23.33C23φ: trivial image96C2^2:C4.30(C2xC6)192,1409

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