Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C2xC6

Direct product G=NxQ with N=C22:C4 and Q=C2xC6
dρLabelID
C2xC6xC22:C496C2xC6xC2^2:C4192,1401

Semidirect products G=N:Q with N=C22:C4 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
C22:C4:1(C2xC6) = C3xC2wrC22φ: C2xC6/C3C22 ⊆ Out C22:C4244C2^2:C4:1(C2xC6)192,890
C22:C4:2(C2xC6) = C3xC23.7D4φ: C2xC6/C3C22 ⊆ Out C22:C4484C2^2:C4:2(C2xC6)192,891
C22:C4:3(C2xC6) = C3xC23:3D4φ: C2xC6/C3C22 ⊆ Out C22:C448C2^2:C4:3(C2xC6)192,1423
C22:C4:4(C2xC6) = C3xC22.29C24φ: C2xC6/C3C22 ⊆ Out C22:C448C2^2:C4:4(C2xC6)192,1424
C22:C4:5(C2xC6) = C3xD42φ: C2xC6/C3C22 ⊆ Out C22:C448C2^2:C4:5(C2xC6)192,1434
C22:C4:6(C2xC6) = C3xC22.45C24φ: C2xC6/C3C22 ⊆ Out C22:C448C2^2:C4:6(C2xC6)192,1440
C22:C4:7(C2xC6) = C3xC22.54C24φ: C2xC6/C3C22 ⊆ Out C22:C448C2^2:C4:7(C2xC6)192,1449
C22:C4:8(C2xC6) = C3xC24:C22φ: C2xC6/C3C22 ⊆ Out C22:C448C2^2:C4:8(C2xC6)192,1450
C22:C4:9(C2xC6) = C6xC23:C4φ: C2xC6/C6C2 ⊆ Out C22:C448C2^2:C4:9(C2xC6)192,842
C22:C4:10(C2xC6) = C6xC22wrC2φ: C2xC6/C6C2 ⊆ Out C22:C448C2^2:C4:10(C2xC6)192,1410
C22:C4:11(C2xC6) = C6xC4:D4φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4:11(C2xC6)192,1411
C22:C4:12(C2xC6) = C6xC22.D4φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4:12(C2xC6)192,1413
C22:C4:13(C2xC6) = C3xC22.19C24φ: C2xC6/C6C2 ⊆ Out C22:C448C2^2:C4:13(C2xC6)192,1414
C22:C4:14(C2xC6) = C6xC4.4D4φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4:14(C2xC6)192,1415
C22:C4:15(C2xC6) = C3xC22.32C24φ: C2xC6/C6C2 ⊆ Out C22:C448C2^2:C4:15(C2xC6)192,1427
C22:C4:16(C2xC6) = C3xD4:5D4φ: C2xC6/C6C2 ⊆ Out C22:C448C2^2:C4:16(C2xC6)192,1435
C22:C4:17(C2xC6) = D4xC2xC12φ: trivial image96C2^2:C4:17(C2xC6)192,1404
C22:C4:18(C2xC6) = C3xC22.11C24φ: trivial image48C2^2:C4:18(C2xC6)192,1407

Non-split extensions G=N.Q with N=C22:C4 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
C22:C4.1(C2xC6) = C3xC23.38C23φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.1(C2xC6)192,1425
C22:C4.2(C2xC6) = C3xC22.31C24φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.2(C2xC6)192,1426
C22:C4.3(C2xC6) = C3xC22.35C24φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.3(C2xC6)192,1430
C22:C4.4(C2xC6) = C3xC22.36C24φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.4(C2xC6)192,1431
C22:C4.5(C2xC6) = C3xD4:6D4φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.5(C2xC6)192,1436
C22:C4.6(C2xC6) = C3xC22.50C24φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.6(C2xC6)192,1445
C22:C4.7(C2xC6) = C3xC22.56C24φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.7(C2xC6)192,1451
C22:C4.8(C2xC6) = C3xC22.57C24φ: C2xC6/C3C22 ⊆ Out C22:C496C2^2:C4.8(C2xC6)192,1452
C22:C4.9(C2xC6) = C3xC23.C23φ: C2xC6/C6C2 ⊆ Out C22:C4484C2^2:C4.9(C2xC6)192,843
C22:C4.10(C2xC6) = C6xC22:Q8φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.10(C2xC6)192,1412
C22:C4.11(C2xC6) = C6xC42:2C2φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.11(C2xC6)192,1417
C22:C4.12(C2xC6) = C3xC23.36C23φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.12(C2xC6)192,1418
C22:C4.13(C2xC6) = C3xC22.26C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.13(C2xC6)192,1421
C22:C4.14(C2xC6) = C3xC23.37C23φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.14(C2xC6)192,1422
C22:C4.15(C2xC6) = C3xC22.33C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.15(C2xC6)192,1428
C22:C4.16(C2xC6) = C3xC22.34C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.16(C2xC6)192,1429
C22:C4.17(C2xC6) = C3xC23:2Q8φ: C2xC6/C6C2 ⊆ Out C22:C448C2^2:C4.17(C2xC6)192,1432
C22:C4.18(C2xC6) = C3xC23.41C23φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.18(C2xC6)192,1433
C22:C4.19(C2xC6) = C3xQ8:5D4φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.19(C2xC6)192,1437
C22:C4.20(C2xC6) = C3xD4xQ8φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.20(C2xC6)192,1438
C22:C4.21(C2xC6) = C3xQ8:6D4φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.21(C2xC6)192,1439
C22:C4.22(C2xC6) = C3xC22.46C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.22(C2xC6)192,1441
C22:C4.23(C2xC6) = C3xC22.47C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.23(C2xC6)192,1442
C22:C4.24(C2xC6) = C3xD4:3Q8φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.24(C2xC6)192,1443
C22:C4.25(C2xC6) = C3xC22.49C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.25(C2xC6)192,1444
C22:C4.26(C2xC6) = C3xC22.53C24φ: C2xC6/C6C2 ⊆ Out C22:C496C2^2:C4.26(C2xC6)192,1448
C22:C4.27(C2xC6) = C6xC42:C2φ: trivial image96C2^2:C4.27(C2xC6)192,1403
C22:C4.28(C2xC6) = C12xC4oD4φ: trivial image96C2^2:C4.28(C2xC6)192,1406
C22:C4.29(C2xC6) = C3xC23.32C23φ: trivial image96C2^2:C4.29(C2xC6)192,1408
C22:C4.30(C2xC6) = C3xC23.33C23φ: trivial image96C2^2:C4.30(C2xC6)192,1409

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