# Extensions 1→N→G→Q→1 with N=C4 and Q=C6×D4

Direct product G=N×Q with N=C4 and Q=C6×D4
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C4 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C41(C6×D4) = C6×C41D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4:1(C6xD4)192,1419
C42(C6×D4) = C3×D42φ: C6×D4/C3×D4C2 ⊆ Aut C448C4:2(C6xD4)192,1434
C43(C6×D4) = C6×C4⋊D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4:3(C6xD4)192,1411

Non-split extensions G=N.Q with N=C4 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C4.1(C6×D4) = C3×C85D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.1(C6xD4)192,925
C4.2(C6×D4) = C3×C84D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.2(C6xD4)192,926
C4.3(C6×D4) = C3×C4⋊Q16φ: C6×D4/C2×C12C2 ⊆ Aut C4192C4.3(C6xD4)192,927
C4.4(C6×D4) = C3×C8.12D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.4(C6xD4)192,928
C4.5(C6×D4) = C3×C83D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.5(C6xD4)192,929
C4.6(C6×D4) = C3×C8.2D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.6(C6xD4)192,930
C4.7(C6×D4) = C6×D16φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.7(C6xD4)192,938
C4.8(C6×D4) = C6×SD32φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.8(C6xD4)192,939
C4.9(C6×D4) = C6×Q32φ: C6×D4/C2×C12C2 ⊆ Aut C4192C4.9(C6xD4)192,940
C4.10(C6×D4) = C3×C4○D16φ: C6×D4/C2×C12C2 ⊆ Aut C4962C4.10(C6xD4)192,941
C4.11(C6×D4) = C3×C16⋊C22φ: C6×D4/C2×C12C2 ⊆ Aut C4484C4.11(C6xD4)192,942
C4.12(C6×D4) = C3×Q32⋊C2φ: C6×D4/C2×C12C2 ⊆ Aut C4964C4.12(C6xD4)192,943
C4.13(C6×D4) = C6×C4.4D4φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.13(C6xD4)192,1415
C4.14(C6×D4) = C6×C4⋊Q8φ: C6×D4/C2×C12C2 ⊆ Aut C4192C4.14(C6xD4)192,1420
C4.15(C6×D4) = C3×C22.26C24φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.15(C6xD4)192,1421
C4.16(C6×D4) = C3×C22.29C24φ: C6×D4/C2×C12C2 ⊆ Aut C448C4.16(C6xD4)192,1424
C4.17(C6×D4) = C3×C23.38C23φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.17(C6xD4)192,1425
C4.18(C6×D4) = C2×C6×D8φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.18(C6xD4)192,1458
C4.19(C6×D4) = C2×C6×SD16φ: C6×D4/C2×C12C2 ⊆ Aut C496C4.19(C6xD4)192,1459
C4.20(C6×D4) = C2×C6×Q16φ: C6×D4/C2×C12C2 ⊆ Aut C4192C4.20(C6xD4)192,1460
C4.21(C6×D4) = C3×C22⋊D8φ: C6×D4/C3×D4C2 ⊆ Aut C448C4.21(C6xD4)192,880
C4.22(C6×D4) = C3×Q8⋊D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.22(C6xD4)192,881
C4.23(C6×D4) = C3×D4⋊D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.23(C6xD4)192,882
C4.24(C6×D4) = C3×C22⋊SD16φ: C6×D4/C3×D4C2 ⊆ Aut C448C4.24(C6xD4)192,883
C4.25(C6×D4) = C3×C22⋊Q16φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.25(C6xD4)192,884
C4.26(C6×D4) = C3×D4.7D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.26(C6xD4)192,885
C4.27(C6×D4) = C3×D44D4φ: C6×D4/C3×D4C2 ⊆ Aut C4244C4.27(C6xD4)192,886
C4.28(C6×D4) = C3×D4.8D4φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.28(C6xD4)192,887
C4.29(C6×D4) = C3×D4.9D4φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.29(C6xD4)192,888
C4.30(C6×D4) = C3×D4.10D4φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.30(C6xD4)192,889
C4.31(C6×D4) = C3×C4⋊D8φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.31(C6xD4)192,892
C4.32(C6×D4) = C3×C4⋊SD16φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.32(C6xD4)192,893
C4.33(C6×D4) = C3×D4.D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.33(C6xD4)192,894
C4.34(C6×D4) = C3×C42Q16φ: C6×D4/C3×D4C2 ⊆ Aut C4192C4.34(C6xD4)192,895
C4.35(C6×D4) = C3×D4.2D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.35(C6xD4)192,896
C4.36(C6×D4) = C3×Q8.D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.36(C6xD4)192,897
C4.37(C6×D4) = C3×D4.3D4φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.37(C6xD4)192,904
C4.38(C6×D4) = C3×D4.4D4φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.38(C6xD4)192,905
C4.39(C6×D4) = C3×D4.5D4φ: C6×D4/C3×D4C2 ⊆ Aut C4964C4.39(C6xD4)192,906
C4.40(C6×D4) = C3×D45D4φ: C6×D4/C3×D4C2 ⊆ Aut C448C4.40(C6xD4)192,1435
C4.41(C6×D4) = C3×D46D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.41(C6xD4)192,1436
C4.42(C6×D4) = C3×Q85D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.42(C6xD4)192,1437
C4.43(C6×D4) = C3×D4×Q8φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.43(C6xD4)192,1438
C4.44(C6×D4) = C3×Q86D4φ: C6×D4/C3×D4C2 ⊆ Aut C496C4.44(C6xD4)192,1439
C4.45(C6×D4) = C3×D4○D8φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.45(C6xD4)192,1465
C4.46(C6×D4) = C3×D4○SD16φ: C6×D4/C3×D4C2 ⊆ Aut C4484C4.46(C6xD4)192,1466
C4.47(C6×D4) = C3×Q8○D8φ: C6×D4/C3×D4C2 ⊆ Aut C4964C4.47(C6xD4)192,1467
C4.48(C6×D4) = C6×C4.D4φ: C6×D4/C22×C6C2 ⊆ Aut C448C4.48(C6xD4)192,844
C4.49(C6×D4) = C6×C4.10D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.49(C6xD4)192,845
C4.50(C6×D4) = C3×M4(2).8C22φ: C6×D4/C22×C6C2 ⊆ Aut C4484C4.50(C6xD4)192,846
C4.51(C6×D4) = C6×D4⋊C4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.51(C6xD4)192,847
C4.52(C6×D4) = C6×Q8⋊C4φ: C6×D4/C22×C6C2 ⊆ Aut C4192C4.52(C6xD4)192,848
C4.53(C6×D4) = C3×C23.24D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.53(C6xD4)192,849
C4.54(C6×D4) = C3×C23.36D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.54(C6xD4)192,850
C4.55(C6×D4) = C3×C23.37D4φ: C6×D4/C22×C6C2 ⊆ Aut C448C4.55(C6xD4)192,851
C4.56(C6×D4) = C3×C23.38D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.56(C6xD4)192,852
C4.57(C6×D4) = C3×C88D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.57(C6xD4)192,898
C4.58(C6×D4) = C3×C87D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.58(C6xD4)192,899
C4.59(C6×D4) = C3×C8.18D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.59(C6xD4)192,900
C4.60(C6×D4) = C3×C8⋊D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.60(C6xD4)192,901
C4.61(C6×D4) = C3×C82D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.61(C6xD4)192,902
C4.62(C6×D4) = C3×C8.D4φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.62(C6xD4)192,903
C4.63(C6×D4) = C6×C22⋊Q8φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.63(C6xD4)192,1412
C4.64(C6×D4) = C3×C22.19C24φ: C6×D4/C22×C6C2 ⊆ Aut C448C4.64(C6xD4)192,1414
C4.65(C6×D4) = C3×C22.31C24φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.65(C6xD4)192,1426
C4.66(C6×D4) = C6×C8⋊C22φ: C6×D4/C22×C6C2 ⊆ Aut C448C4.66(C6xD4)192,1462
C4.67(C6×D4) = C6×C8.C22φ: C6×D4/C22×C6C2 ⊆ Aut C496C4.67(C6xD4)192,1463
C4.68(C6×D4) = C3×D8⋊C22φ: C6×D4/C22×C6C2 ⊆ Aut C4484C4.68(C6xD4)192,1464
C4.69(C6×D4) = C6×C22⋊C8central extension (φ=1)96C4.69(C6xD4)192,839
C4.70(C6×D4) = C3×C24.4C4central extension (φ=1)48C4.70(C6xD4)192,840
C4.71(C6×D4) = C3×(C22×C8)⋊C2central extension (φ=1)96C4.71(C6xD4)192,841
C4.72(C6×D4) = C6×C4≀C2central extension (φ=1)48C4.72(C6xD4)192,853
C4.73(C6×D4) = C3×C42⋊C22central extension (φ=1)484C4.73(C6xD4)192,854
C4.74(C6×D4) = C6×C4⋊C8central extension (φ=1)192C4.74(C6xD4)192,855
C4.75(C6×D4) = C3×C4⋊M4(2)central extension (φ=1)96C4.75(C6xD4)192,856
C4.76(C6×D4) = C3×C42.6C22central extension (φ=1)96C4.76(C6xD4)192,857
C4.77(C6×D4) = C6×C8.C4central extension (φ=1)96C4.77(C6xD4)192,862
C4.78(C6×D4) = C3×M4(2).C4central extension (φ=1)484C4.78(C6xD4)192,863
C4.79(C6×D4) = D4×C24central extension (φ=1)96C4.79(C6xD4)192,867
C4.80(C6×D4) = C3×C89D4central extension (φ=1)96C4.80(C6xD4)192,868
C4.81(C6×D4) = C3×C86D4central extension (φ=1)96C4.81(C6xD4)192,869
C4.82(C6×D4) = C3×C8○D8central extension (φ=1)482C4.82(C6xD4)192,876
C4.83(C6×D4) = C3×C8.26D4central extension (φ=1)484C4.83(C6xD4)192,877
C4.84(C6×D4) = C6×C4○D8central extension (φ=1)96C4.84(C6xD4)192,1461

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