Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

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

Direct product G=N×Q with N=C4⋊C4 and Q=C2×C6
dρLabelID
C2×C6×C4⋊C4192C2xC6xC4:C4192,1402

Semidirect products G=N:Q with N=C4⋊C4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1(C2×C6) = C3×C22⋊D8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C448C4:C4:1(C2xC6)192,880
C4⋊C4⋊2(C2×C6) = C3×C22⋊SD16φ: C2×C6/C3 → C22 ⊆ Out C4⋊C448C4:C4:2(C2xC6)192,883
C4⋊C4⋊3(C2×C6) = C3×C23⋊3D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C448C4:C4:3(C2xC6)192,1423
C4⋊C4⋊4(C2×C6) = C3×C23⋊2Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C448C4:C4:4(C2xC6)192,1432
C4⋊C4⋊5(C2×C6) = C3×D4⋊5D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C448C4:C4:5(C2xC6)192,1435
C4⋊C4⋊6(C2×C6) = C3×C22.54C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C448C4:C4:6(C2xC6)192,1449
C4⋊C4⋊7(C2×C6) = C6×D4⋊C4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4:7(C2xC6)192,847
C4⋊C4⋊8(C2×C6) = C3×C23.37D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C448C4:C4:8(C2xC6)192,851
C4⋊C4⋊9(C2×C6) = C6×C4⋊D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4:9(C2xC6)192,1411
C4⋊C4⋊10(C2×C6) = C6×C22⋊Q8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4:10(C2xC6)192,1412
C4⋊C4⋊11(C2×C6) = C6×C22.D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4:11(C2xC6)192,1413
C4⋊C4⋊12(C2×C6) = C3×C22.19C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C448C4:C4:12(C2xC6)192,1414
C4⋊C4⋊13(C2×C6) = C6×C42⋊2C2φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4:13(C2xC6)192,1417
C4⋊C4⋊14(C2×C6) = C3×C22.29C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C448C4:C4:14(C2xC6)192,1424
C4⋊C4⋊15(C2×C6) = C3×C22.32C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C448C4:C4:15(C2xC6)192,1427
C4⋊C4⋊16(C2×C6) = C3×D42φ: C2×C6/C6 → C2 ⊆ Out C4⋊C448C4:C4:16(C2xC6)192,1434
C4⋊C4⋊17(C2×C6) = C3×C22.45C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C448C4:C4:17(C2xC6)192,1440
C4⋊C4⋊18(C2×C6) = C6×C42⋊C2φ: trivial image96C4:C4:18(C2xC6)192,1403
C4⋊C4⋊19(C2×C6) = D4×C2×C12φ: trivial image96C4:C4:19(C2xC6)192,1404
C4⋊C4⋊20(C2×C6) = C3×C22.11C24φ: trivial image48C4:C4:20(C2xC6)192,1407

Non-split extensions G=N.Q with N=C4⋊C4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C4⋊C4.1(C2×C6) = C3×Q8⋊D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.1(C2xC6)192,881
C4⋊C4.2(C2×C6) = C3×D4⋊D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.2(C2xC6)192,882
C4⋊C4.3(C2×C6) = C3×C22⋊Q16φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.3(C2xC6)192,884
C4⋊C4.4(C2×C6) = C3×D4.7D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.4(C2xC6)192,885
C4⋊C4.5(C2×C6) = C3×C8⋊8D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.5(C2xC6)192,898
C4⋊C4.6(C2×C6) = C3×C8⋊7D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.6(C2xC6)192,899
C4⋊C4.7(C2×C6) = C3×C8.18D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.7(C2xC6)192,900
C4⋊C4.8(C2×C6) = C3×C8⋊D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.8(C2xC6)192,901
C4⋊C4.9(C2×C6) = C3×C8⋊2D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.9(C2xC6)192,902
C4⋊C4.10(C2×C6) = C3×C8.D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.10(C2xC6)192,903
C4⋊C4.11(C2×C6) = C3×D4⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.11(C2xC6)192,907
C4⋊C4.12(C2×C6) = C3×Q8⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.12(C2xC6)192,908
C4⋊C4.13(C2×C6) = C3×D4⋊2Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.13(C2xC6)192,909
C4⋊C4.14(C2×C6) = C3×C4.Q16φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.14(C2xC6)192,910
C4⋊C4.15(C2×C6) = C3×D4.Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.15(C2xC6)192,911
C4⋊C4.16(C2×C6) = C3×Q8.Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.16(C2xC6)192,912
C4⋊C4.17(C2×C6) = C3×C4.4D8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.17(C2xC6)192,919
C4⋊C4.18(C2×C6) = C3×C4.SD16φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.18(C2xC6)192,920
C4⋊C4.19(C2×C6) = C3×C42.78C22φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.19(C2xC6)192,921
C4⋊C4.20(C2×C6) = C3×C42.28C22φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.20(C2xC6)192,922
C4⋊C4.21(C2×C6) = C3×C42.29C22φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.21(C2xC6)192,923
C4⋊C4.22(C2×C6) = C3×C42.30C22φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.22(C2xC6)192,924
C4⋊C4.23(C2×C6) = C3×C8⋊3Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.23(C2xC6)192,931
C4⋊C4.24(C2×C6) = C3×C8.5Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.24(C2xC6)192,932
C4⋊C4.25(C2×C6) = C3×C8⋊2Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.25(C2xC6)192,933
C4⋊C4.26(C2×C6) = C3×C8⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.26(C2xC6)192,934
C4⋊C4.27(C2×C6) = C3×C23.38C23φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.27(C2xC6)192,1425
C4⋊C4.28(C2×C6) = C3×C22.31C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.28(C2xC6)192,1426
C4⋊C4.29(C2×C6) = C3×C22.34C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.29(C2xC6)192,1429
C4⋊C4.30(C2×C6) = C3×C23.41C23φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.30(C2xC6)192,1433
C4⋊C4.31(C2×C6) = C3×D4⋊6D4φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.31(C2xC6)192,1436
C4⋊C4.32(C2×C6) = C3×D4×Q8φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.32(C2xC6)192,1438
C4⋊C4.33(C2×C6) = C3×C22.46C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.33(C2xC6)192,1441
C4⋊C4.34(C2×C6) = C3×C22.56C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.34(C2xC6)192,1451
C4⋊C4.35(C2×C6) = C3×C22.57C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C496C4:C4.35(C2xC6)192,1452
C4⋊C4.36(C2×C6) = C3×C22.58C24φ: C2×C6/C3 → C22 ⊆ Out C4⋊C4192C4:C4.36(C2xC6)192,1453
C4⋊C4.37(C2×C6) = C6×Q8⋊C4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.37(C2xC6)192,848
C4⋊C4.38(C2×C6) = C3×C23.24D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.38(C2xC6)192,849
C4⋊C4.39(C2×C6) = C3×C23.36D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.39(C2xC6)192,850
C4⋊C4.40(C2×C6) = C3×C23.38D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.40(C2xC6)192,852
C4⋊C4.41(C2×C6) = C6×C4.Q8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.41(C2xC6)192,858
C4⋊C4.42(C2×C6) = C6×C2.D8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.42(C2xC6)192,859
C4⋊C4.43(C2×C6) = C3×C23.25D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.43(C2xC6)192,860
C4⋊C4.44(C2×C6) = C3×M4(2)⋊C4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.44(C2xC6)192,861
C4⋊C4.45(C2×C6) = C12×D8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.45(C2xC6)192,870
C4⋊C4.46(C2×C6) = C12×SD16φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.46(C2xC6)192,871
C4⋊C4.47(C2×C6) = C12×Q16φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.47(C2xC6)192,872
C4⋊C4.48(C2×C6) = C3×SD16⋊C4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.48(C2xC6)192,873
C4⋊C4.49(C2×C6) = C3×Q16⋊C4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.49(C2xC6)192,874
C4⋊C4.50(C2×C6) = C3×D8⋊C4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.50(C2xC6)192,875
C4⋊C4.51(C2×C6) = C3×C4⋊D8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.51(C2xC6)192,892
C4⋊C4.52(C2×C6) = C3×C4⋊SD16φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.52(C2xC6)192,893
C4⋊C4.53(C2×C6) = C3×D4.D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.53(C2xC6)192,894
C4⋊C4.54(C2×C6) = C3×C4⋊2Q16φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.54(C2xC6)192,895
C4⋊C4.55(C2×C6) = C3×D4.2D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.55(C2xC6)192,896
C4⋊C4.56(C2×C6) = C3×Q8.D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.56(C2xC6)192,897
C4⋊C4.57(C2×C6) = C3×C22.D8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.57(C2xC6)192,913
C4⋊C4.58(C2×C6) = C3×C23.46D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.58(C2xC6)192,914
C4⋊C4.59(C2×C6) = C3×C23.19D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.59(C2xC6)192,915
C4⋊C4.60(C2×C6) = C3×C23.47D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.60(C2xC6)192,916
C4⋊C4.61(C2×C6) = C3×C23.48D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.61(C2xC6)192,917
C4⋊C4.62(C2×C6) = C3×C23.20D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.62(C2xC6)192,918
C4⋊C4.63(C2×C6) = C6×C42.C2φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.63(C2xC6)192,1416
C4⋊C4.64(C2×C6) = C3×C23.36C23φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.64(C2xC6)192,1418
C4⋊C4.65(C2×C6) = C6×C4⋊Q8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.65(C2xC6)192,1420
C4⋊C4.66(C2×C6) = C3×C22.26C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.66(C2xC6)192,1421
C4⋊C4.67(C2×C6) = C3×C23.37C23φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.67(C2xC6)192,1422
C4⋊C4.68(C2×C6) = C3×C22.33C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.68(C2xC6)192,1428
C4⋊C4.69(C2×C6) = C3×C22.35C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.69(C2xC6)192,1430
C4⋊C4.70(C2×C6) = C3×C22.36C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.70(C2xC6)192,1431
C4⋊C4.71(C2×C6) = C3×Q8⋊5D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.71(C2xC6)192,1437
C4⋊C4.72(C2×C6) = C3×Q8⋊6D4φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.72(C2xC6)192,1439
C4⋊C4.73(C2×C6) = C3×C22.47C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.73(C2xC6)192,1442
C4⋊C4.74(C2×C6) = C3×D4⋊3Q8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.74(C2xC6)192,1443
C4⋊C4.75(C2×C6) = C3×C22.49C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.75(C2xC6)192,1444
C4⋊C4.76(C2×C6) = C3×C22.50C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.76(C2xC6)192,1445
C4⋊C4.77(C2×C6) = C3×Q8⋊3Q8φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.77(C2xC6)192,1446
C4⋊C4.78(C2×C6) = C3×Q82φ: C2×C6/C6 → C2 ⊆ Out C4⋊C4192C4:C4.78(C2xC6)192,1447
C4⋊C4.79(C2×C6) = C3×C22.53C24φ: C2×C6/C6 → C2 ⊆ Out C4⋊C496C4:C4.79(C2xC6)192,1448
C4⋊C4.80(C2×C6) = Q8×C2×C12φ: trivial image192C4:C4.80(C2xC6)192,1405
C4⋊C4.81(C2×C6) = C12×C4○D4φ: trivial image96C4:C4.81(C2xC6)192,1406
C4⋊C4.82(C2×C6) = C3×C23.32C23φ: trivial image96C4:C4.82(C2xC6)192,1408
C4⋊C4.83(C2×C6) = C3×C23.33C23φ: trivial image96C4:C4.83(C2xC6)192,1409

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁