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Extensions 1→N→G→Q→1 with N=C42 and Q=C2×C6

Direct product G=N×Q with N=C42 and Q=C2×C6
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C42 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C42⋊(C2×C6) = C24.6A4φ: C2×C6/C1 → C2×C6 ⊆ Aut C421612+C4^2:(C2xC6)192,1008
C42⋊2(C2×C6) = C2×C42⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C42246C4^2:2(C2xC6)192,1001
C42⋊3(C2×C6) = C2×C23.A4φ: C2×C6/C2 → C6 ⊆ Aut C42126+C4^2:3(C2xC6)192,1002
C42⋊4(C2×C6) = C3×C42⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C42484C4^2:4(C2xC6)192,854
C42⋊5(C2×C6) = C3×D4⋊4D4φ: C2×C6/C3 → C22 ⊆ Aut C42244C4^2:5(C2xC6)192,886
C42⋊6(C2×C6) = C3×D4.9D4φ: C2×C6/C3 → C22 ⊆ Aut C42484C4^2:6(C2xC6)192,888
C42⋊7(C2×C6) = C3×C22.11C24φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:7(C2xC6)192,1407
C42⋊8(C2×C6) = C3×C22.19C24φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:8(C2xC6)192,1414
C42⋊9(C2×C6) = C3×C22.29C24φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:9(C2xC6)192,1424
C42⋊10(C2×C6) = C3×C22.32C24φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:10(C2xC6)192,1427
C42⋊11(C2×C6) = C3×D42φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:11(C2xC6)192,1434
C42⋊12(C2×C6) = C3×D4⋊5D4φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:12(C2xC6)192,1435
C42⋊13(C2×C6) = C3×C22.45C24φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:13(C2xC6)192,1440
C42⋊14(C2×C6) = C3×C22.54C24φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:14(C2xC6)192,1449
C42⋊15(C2×C6) = C3×C24⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C4248C4^2:15(C2xC6)192,1450
C42⋊16(C2×C6) = C22×C42⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C4224C4^2:16(C2xC6)192,992
C42⋊17(C2×C6) = C6×C42⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2:17(C2xC6)192,1403
C42⋊18(C2×C6) = C6×C42⋊2C2φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2:18(C2xC6)192,1417
C42⋊19(C2×C6) = C6×C4≀C2φ: C2×C6/C6 → C2 ⊆ Aut C4248C4^2:19(C2xC6)192,853
C42⋊20(C2×C6) = D4×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2:20(C2xC6)192,1404
C42⋊21(C2×C6) = C6×C4.4D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2:21(C2xC6)192,1415
C42⋊22(C2×C6) = C6×C4⋊1D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2:22(C2xC6)192,1419

Non-split extensions G=N.Q with N=C42 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C42.1(C2×C6) = C3×C42.C22φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.1(C2xC6)192,135
C42.2(C2×C6) = C3×C42.2C22φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.2(C2xC6)192,136
C42.3(C2×C6) = C3×C4.D8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.3(C2xC6)192,137
C42.4(C2×C6) = C3×C4.10D8φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.4(C2xC6)192,138
C42.5(C2×C6) = C3×C4.6Q16φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.5(C2xC6)192,139
C42.6(C2×C6) = C3×C42.6C22φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.6(C2xC6)192,857
C42.7(C2×C6) = C3×C8⋊9D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.7(C2xC6)192,868
C42.8(C2×C6) = C3×SD16⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.8(C2xC6)192,873
C42.9(C2×C6) = C3×Q16⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.9(C2xC6)192,874
C42.10(C2×C6) = C3×D8⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.10(C2xC6)192,875
C42.11(C2×C6) = C3×C8.26D4φ: C2×C6/C3 → C22 ⊆ Aut C42484C4^2.11(C2xC6)192,877
C42.12(C2×C6) = C3×D4.8D4φ: C2×C6/C3 → C22 ⊆ Aut C42484C4^2.12(C2xC6)192,887
C42.13(C2×C6) = C3×D4.10D4φ: C2×C6/C3 → C22 ⊆ Aut C42484C4^2.13(C2xC6)192,889
C42.14(C2×C6) = C3×C4⋊D8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.14(C2xC6)192,892
C42.15(C2×C6) = C3×C4⋊SD16φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.15(C2xC6)192,893
C42.16(C2×C6) = C3×D4.D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.16(C2xC6)192,894
C42.17(C2×C6) = C3×C4⋊2Q16φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.17(C2xC6)192,895
C42.18(C2×C6) = C3×D4.2D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.18(C2xC6)192,896
C42.19(C2×C6) = C3×Q8.D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.19(C2xC6)192,897
C42.20(C2×C6) = C3×D4⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.20(C2xC6)192,907
C42.21(C2×C6) = C3×Q8⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.21(C2xC6)192,908
C42.22(C2×C6) = C3×D4⋊2Q8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.22(C2xC6)192,909
C42.23(C2×C6) = C3×C4.Q16φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.23(C2xC6)192,910
C42.24(C2×C6) = C3×D4.Q8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.24(C2xC6)192,911
C42.25(C2×C6) = C3×Q8.Q8φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.25(C2xC6)192,912
C42.26(C2×C6) = C3×C42.28C22φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.26(C2xC6)192,922
C42.27(C2×C6) = C3×C42.29C22φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.27(C2xC6)192,923
C42.28(C2×C6) = C3×C42.30C22φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.28(C2xC6)192,924
C42.29(C2×C6) = C3×C8⋊3D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.29(C2xC6)192,929
C42.30(C2×C6) = C3×C8.2D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.30(C2xC6)192,930
C42.31(C2×C6) = C3×C8⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.31(C2xC6)192,934
C42.32(C2×C6) = C3×C23.32C23φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.32(C2xC6)192,1408
C42.33(C2×C6) = C3×C23.33C23φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.33(C2xC6)192,1409
C42.34(C2×C6) = C3×C23.36C23φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.34(C2xC6)192,1418
C42.35(C2×C6) = C3×C23.37C23φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.35(C2xC6)192,1422
C42.36(C2×C6) = C3×C23.38C23φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.36(C2xC6)192,1425
C42.37(C2×C6) = C3×C22.33C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.37(C2xC6)192,1428
C42.38(C2×C6) = C3×C22.34C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.38(C2xC6)192,1429
C42.39(C2×C6) = C3×C22.35C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.39(C2xC6)192,1430
C42.40(C2×C6) = C3×C22.36C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.40(C2xC6)192,1431
C42.41(C2×C6) = C3×C23.41C23φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.41(C2xC6)192,1433
C42.42(C2×C6) = C3×D4⋊6D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.42(C2xC6)192,1436
C42.43(C2×C6) = C3×Q8⋊5D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.43(C2xC6)192,1437
C42.44(C2×C6) = C3×D4×Q8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.44(C2xC6)192,1438
C42.45(C2×C6) = C3×Q8⋊6D4φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.45(C2xC6)192,1439
C42.46(C2×C6) = C3×C22.46C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.46(C2xC6)192,1441
C42.47(C2×C6) = C3×C22.47C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.47(C2xC6)192,1442
C42.48(C2×C6) = C3×D4⋊3Q8φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.48(C2xC6)192,1443
C42.49(C2×C6) = C3×C22.49C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.49(C2xC6)192,1444
C42.50(C2×C6) = C3×C22.50C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.50(C2xC6)192,1445
C42.51(C2×C6) = C3×Q8⋊3Q8φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.51(C2xC6)192,1446
C42.52(C2×C6) = C3×Q82φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.52(C2xC6)192,1447
C42.53(C2×C6) = C3×C22.53C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.53(C2xC6)192,1448
C42.54(C2×C6) = C3×C22.56C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.54(C2xC6)192,1451
C42.55(C2×C6) = C3×C22.57C24φ: C2×C6/C3 → C22 ⊆ Aut C4296C4^2.55(C2xC6)192,1452
C42.56(C2×C6) = C3×C22.58C24φ: C2×C6/C3 → C22 ⊆ Aut C42192C4^2.56(C2xC6)192,1453
C42.57(C2×C6) = C6×C8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.57(C2xC6)192,836
C42.58(C2×C6) = C12×M4(2)φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.58(C2xC6)192,837
C42.59(C2×C6) = C3×C8○2M4(2)φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.59(C2xC6)192,838
C42.60(C2×C6) = C3×C42.6C4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.60(C2xC6)192,865
C42.61(C2×C6) = C3×C42.7C22φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.61(C2xC6)192,866
C42.62(C2×C6) = C3×D4⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.62(C2xC6)192,131
C42.63(C2×C6) = C3×Q8⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.63(C2xC6)192,132
C42.64(C2×C6) = C3×C8⋊2C8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.64(C2xC6)192,140
C42.65(C2×C6) = C3×C8⋊1C8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.65(C2xC6)192,141
C42.66(C2×C6) = C6×C4⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.66(C2xC6)192,855
C42.67(C2×C6) = C3×C4⋊M4(2)φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.67(C2xC6)192,856
C42.68(C2×C6) = D4×C24φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.68(C2xC6)192,867
C42.69(C2×C6) = C3×C8⋊6D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.69(C2xC6)192,869
C42.70(C2×C6) = C12×D8φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.70(C2xC6)192,870
C42.71(C2×C6) = C12×SD16φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.71(C2xC6)192,871
C42.72(C2×C6) = C12×Q16φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.72(C2xC6)192,872
C42.73(C2×C6) = C3×C8○D8φ: C2×C6/C6 → C2 ⊆ Aut C42482C4^2.73(C2xC6)192,876
C42.74(C2×C6) = Q8×C24φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.74(C2xC6)192,878
C42.75(C2×C6) = C3×C8⋊4Q8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.75(C2xC6)192,879
C42.76(C2×C6) = C3×C4.4D8φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.76(C2xC6)192,919
C42.77(C2×C6) = C3×C4.SD16φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.77(C2xC6)192,920
C42.78(C2×C6) = C3×C42.78C22φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.78(C2xC6)192,921
C42.79(C2×C6) = C3×C8⋊5D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.79(C2xC6)192,925
C42.80(C2×C6) = C3×C8⋊4D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.80(C2xC6)192,926
C42.81(C2×C6) = C3×C4⋊Q16φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.81(C2xC6)192,927
C42.82(C2×C6) = C3×C8.12D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.82(C2xC6)192,928
C42.83(C2×C6) = C3×C8⋊3Q8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.83(C2xC6)192,931
C42.84(C2×C6) = C3×C8.5Q8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.84(C2xC6)192,932
C42.85(C2×C6) = C3×C8⋊2Q8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.85(C2xC6)192,933
C42.86(C2×C6) = Q8×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.86(C2xC6)192,1405
C42.87(C2×C6) = C12×C4○D4φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.87(C2xC6)192,1406
C42.88(C2×C6) = C6×C42.C2φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.88(C2xC6)192,1416
C42.89(C2×C6) = C6×C4⋊Q8φ: C2×C6/C6 → C2 ⊆ Aut C42192C4^2.89(C2xC6)192,1420
C42.90(C2×C6) = C3×C22.26C24φ: C2×C6/C6 → C2 ⊆ Aut C4296C4^2.90(C2xC6)192,1421
C42.91(C2×C6) = C3×C8⋊C8central extension (φ=1)192C4^2.91(C2xC6)192,128
C42.92(C2×C6) = C3×C42.12C4central extension (φ=1)96C4^2.92(C2xC6)192,864

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