# Extensions 1→N→G→Q→1 with N=C22 and Q=C6×D4

Direct product G=N×Q with N=C22 and Q=C6×D4
dρLabelID
D4×C22×C696D4xC2^2xC6192,1531

Semidirect products G=N:Q with N=C22 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C6×D4) = C2×D4×A4φ: C6×D4/C2×D4C3 ⊆ Aut C2224C2^2:(C6xD4)192,1497
C222(C6×D4) = C6×C4⋊D4φ: C6×D4/C2×C12C2 ⊆ Aut C2296C2^2:2(C6xD4)192,1411
C223(C6×D4) = C3×D42φ: C6×D4/C3×D4C2 ⊆ Aut C2248C2^2:3(C6xD4)192,1434
C224(C6×D4) = C6×C22≀C2φ: C6×D4/C22×C6C2 ⊆ Aut C2248C2^2:4(C6xD4)192,1410

Non-split extensions G=N.Q with N=C22 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C22.1(C6×D4) = C3×C22.26C24φ: C6×D4/C2×C12C2 ⊆ Aut C2296C2^2.1(C6xD4)192,1421
C22.2(C6×D4) = C3×C233D4φ: C6×D4/C2×C12C2 ⊆ Aut C2248C2^2.2(C6xD4)192,1423
C22.3(C6×D4) = C3×C22.31C24φ: C6×D4/C2×C12C2 ⊆ Aut C2296C2^2.3(C6xD4)192,1426
C22.4(C6×D4) = C6×C4○D8φ: C6×D4/C2×C12C2 ⊆ Aut C2296C2^2.4(C6xD4)192,1461
C22.5(C6×D4) = C3×D45D4φ: C6×D4/C3×D4C2 ⊆ Aut C2248C2^2.5(C6xD4)192,1435
C22.6(C6×D4) = C3×D46D4φ: C6×D4/C3×D4C2 ⊆ Aut C2296C2^2.6(C6xD4)192,1436
C22.7(C6×D4) = C3×D4○D8φ: C6×D4/C3×D4C2 ⊆ Aut C22484C2^2.7(C6xD4)192,1465
C22.8(C6×D4) = C3×D4○SD16φ: C6×D4/C3×D4C2 ⊆ Aut C22484C2^2.8(C6xD4)192,1466
C22.9(C6×D4) = C3×Q8○D8φ: C6×D4/C3×D4C2 ⊆ Aut C22964C2^2.9(C6xD4)192,1467
C22.10(C6×D4) = C6×C23⋊C4φ: C6×D4/C22×C6C2 ⊆ Aut C2248C2^2.10(C6xD4)192,842
C22.11(C6×D4) = C3×C23.C23φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.11(C6xD4)192,843
C22.12(C6×D4) = C6×C4≀C2φ: C6×D4/C22×C6C2 ⊆ Aut C2248C2^2.12(C6xD4)192,853
C22.13(C6×D4) = C3×C42⋊C22φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.13(C6xD4)192,854
C22.14(C6×D4) = C3×D44D4φ: C6×D4/C22×C6C2 ⊆ Aut C22244C2^2.14(C6xD4)192,886
C22.15(C6×D4) = C3×D4.8D4φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.15(C6xD4)192,887
C22.16(C6×D4) = C3×D4.9D4φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.16(C6xD4)192,888
C22.17(C6×D4) = C3×D4.10D4φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.17(C6xD4)192,889
C22.18(C6×D4) = C3×C2≀C22φ: C6×D4/C22×C6C2 ⊆ Aut C22244C2^2.18(C6xD4)192,890
C22.19(C6×D4) = C3×C23.7D4φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.19(C6xD4)192,891
C22.20(C6×D4) = C3×C22.19C24φ: C6×D4/C22×C6C2 ⊆ Aut C2248C2^2.20(C6xD4)192,1414
C22.21(C6×D4) = C3×C22.29C24φ: C6×D4/C22×C6C2 ⊆ Aut C2248C2^2.21(C6xD4)192,1424
C22.22(C6×D4) = C3×C23.38C23φ: C6×D4/C22×C6C2 ⊆ Aut C2296C2^2.22(C6xD4)192,1425
C22.23(C6×D4) = C6×C8⋊C22φ: C6×D4/C22×C6C2 ⊆ Aut C2248C2^2.23(C6xD4)192,1462
C22.24(C6×D4) = C6×C8.C22φ: C6×D4/C22×C6C2 ⊆ Aut C2296C2^2.24(C6xD4)192,1463
C22.25(C6×D4) = C3×D8⋊C22φ: C6×D4/C22×C6C2 ⊆ Aut C22484C2^2.25(C6xD4)192,1464
C22.26(C6×D4) = C6×C2.C42central extension (φ=1)192C2^2.26(C6xD4)192,808
C22.27(C6×D4) = C12×C22⋊C4central extension (φ=1)96C2^2.27(C6xD4)192,810
C22.28(C6×D4) = C12×C4⋊C4central extension (φ=1)192C2^2.28(C6xD4)192,811
C22.29(C6×D4) = C3×C243C4central extension (φ=1)48C2^2.29(C6xD4)192,812
C22.30(C6×D4) = C3×C23.7Q8central extension (φ=1)96C2^2.30(C6xD4)192,813
C22.31(C6×D4) = C3×C23.34D4central extension (φ=1)96C2^2.31(C6xD4)192,814
C22.32(C6×D4) = C3×C428C4central extension (φ=1)192C2^2.32(C6xD4)192,815
C22.33(C6×D4) = C3×C429C4central extension (φ=1)192C2^2.33(C6xD4)192,817
C22.34(C6×D4) = C3×C23.8Q8central extension (φ=1)96C2^2.34(C6xD4)192,818
C22.35(C6×D4) = C3×C23.23D4central extension (φ=1)96C2^2.35(C6xD4)192,819
C22.36(C6×D4) = C3×C23.63C23central extension (φ=1)192C2^2.36(C6xD4)192,820
C22.37(C6×D4) = C3×C24.C22central extension (φ=1)96C2^2.37(C6xD4)192,821
C22.38(C6×D4) = C3×C23.65C23central extension (φ=1)192C2^2.38(C6xD4)192,822
C22.39(C6×D4) = C3×C24.3C22central extension (φ=1)96C2^2.39(C6xD4)192,823
C22.40(C6×D4) = C3×C23.67C23central extension (φ=1)192C2^2.40(C6xD4)192,824
C22.41(C6×D4) = C6×D4⋊C4central extension (φ=1)96C2^2.41(C6xD4)192,847
C22.42(C6×D4) = C6×Q8⋊C4central extension (φ=1)192C2^2.42(C6xD4)192,848
C22.43(C6×D4) = C3×C23.24D4central extension (φ=1)96C2^2.43(C6xD4)192,849
C22.44(C6×D4) = C3×C23.36D4central extension (φ=1)96C2^2.44(C6xD4)192,850
C22.45(C6×D4) = C3×C23.37D4central extension (φ=1)48C2^2.45(C6xD4)192,851
C22.46(C6×D4) = C3×C23.38D4central extension (φ=1)96C2^2.46(C6xD4)192,852
C22.47(C6×D4) = C6×C4.Q8central extension (φ=1)192C2^2.47(C6xD4)192,858
C22.48(C6×D4) = C6×C2.D8central extension (φ=1)192C2^2.48(C6xD4)192,859
C22.49(C6×D4) = C3×C23.25D4central extension (φ=1)96C2^2.49(C6xD4)192,860
C22.50(C6×D4) = C3×M4(2)⋊C4central extension (φ=1)96C2^2.50(C6xD4)192,861
C22.51(C6×D4) = C12×D8central extension (φ=1)96C2^2.51(C6xD4)192,870
C22.52(C6×D4) = C12×SD16central extension (φ=1)96C2^2.52(C6xD4)192,871
C22.53(C6×D4) = C12×Q16central extension (φ=1)192C2^2.53(C6xD4)192,872
C22.54(C6×D4) = C3×SD16⋊C4central extension (φ=1)96C2^2.54(C6xD4)192,873
C22.55(C6×D4) = C3×Q16⋊C4central extension (φ=1)192C2^2.55(C6xD4)192,874
C22.56(C6×D4) = C3×D8⋊C4central extension (φ=1)96C2^2.56(C6xD4)192,875
C22.57(C6×D4) = C2×C6×C22⋊C4central extension (φ=1)96C2^2.57(C6xD4)192,1401
C22.58(C6×D4) = C2×C6×C4⋊C4central extension (φ=1)192C2^2.58(C6xD4)192,1402
C22.59(C6×D4) = D4×C2×C12central extension (φ=1)96C2^2.59(C6xD4)192,1404
C22.60(C6×D4) = C6×C22⋊Q8central extension (φ=1)96C2^2.60(C6xD4)192,1412
C22.61(C6×D4) = C6×C22.D4central extension (φ=1)96C2^2.61(C6xD4)192,1413
C22.62(C6×D4) = C6×C4.4D4central extension (φ=1)96C2^2.62(C6xD4)192,1415
C22.63(C6×D4) = C6×C41D4central extension (φ=1)96C2^2.63(C6xD4)192,1419
C22.64(C6×D4) = C6×C4⋊Q8central extension (φ=1)192C2^2.64(C6xD4)192,1420
C22.65(C6×D4) = C2×C6×D8central extension (φ=1)96C2^2.65(C6xD4)192,1458
C22.66(C6×D4) = C2×C6×SD16central extension (φ=1)96C2^2.66(C6xD4)192,1459
C22.67(C6×D4) = C2×C6×Q16central extension (φ=1)192C2^2.67(C6xD4)192,1460
C22.68(C6×D4) = C3×C232D4central stem extension (φ=1)96C2^2.68(C6xD4)192,825
C22.69(C6×D4) = C3×C23⋊Q8central stem extension (φ=1)96C2^2.69(C6xD4)192,826
C22.70(C6×D4) = C3×C23.10D4central stem extension (φ=1)96C2^2.70(C6xD4)192,827
C22.71(C6×D4) = C3×C23.78C23central stem extension (φ=1)192C2^2.71(C6xD4)192,828
C22.72(C6×D4) = C3×C23.Q8central stem extension (φ=1)96C2^2.72(C6xD4)192,829
C22.73(C6×D4) = C3×C23.11D4central stem extension (φ=1)96C2^2.73(C6xD4)192,830
C22.74(C6×D4) = C3×C23.81C23central stem extension (φ=1)192C2^2.74(C6xD4)192,831
C22.75(C6×D4) = C3×C23.4Q8central stem extension (φ=1)96C2^2.75(C6xD4)192,832
C22.76(C6×D4) = C3×C23.83C23central stem extension (φ=1)192C2^2.76(C6xD4)192,833
C22.77(C6×D4) = C3×C22⋊D8central stem extension (φ=1)48C2^2.77(C6xD4)192,880
C22.78(C6×D4) = C3×Q8⋊D4central stem extension (φ=1)96C2^2.78(C6xD4)192,881
C22.79(C6×D4) = C3×D4⋊D4central stem extension (φ=1)96C2^2.79(C6xD4)192,882
C22.80(C6×D4) = C3×C22⋊SD16central stem extension (φ=1)48C2^2.80(C6xD4)192,883
C22.81(C6×D4) = C3×C22⋊Q16central stem extension (φ=1)96C2^2.81(C6xD4)192,884
C22.82(C6×D4) = C3×D4.7D4central stem extension (φ=1)96C2^2.82(C6xD4)192,885
C22.83(C6×D4) = C3×C4⋊D8central stem extension (φ=1)96C2^2.83(C6xD4)192,892
C22.84(C6×D4) = C3×C4⋊SD16central stem extension (φ=1)96C2^2.84(C6xD4)192,893
C22.85(C6×D4) = C3×D4.D4central stem extension (φ=1)96C2^2.85(C6xD4)192,894
C22.86(C6×D4) = C3×C42Q16central stem extension (φ=1)192C2^2.86(C6xD4)192,895
C22.87(C6×D4) = C3×D4.2D4central stem extension (φ=1)96C2^2.87(C6xD4)192,896
C22.88(C6×D4) = C3×Q8.D4central stem extension (φ=1)96C2^2.88(C6xD4)192,897
C22.89(C6×D4) = C3×C88D4central stem extension (φ=1)96C2^2.89(C6xD4)192,898
C22.90(C6×D4) = C3×C87D4central stem extension (φ=1)96C2^2.90(C6xD4)192,899
C22.91(C6×D4) = C3×C8.18D4central stem extension (φ=1)96C2^2.91(C6xD4)192,900
C22.92(C6×D4) = C3×C8⋊D4central stem extension (φ=1)96C2^2.92(C6xD4)192,901
C22.93(C6×D4) = C3×C82D4central stem extension (φ=1)96C2^2.93(C6xD4)192,902
C22.94(C6×D4) = C3×C8.D4central stem extension (φ=1)96C2^2.94(C6xD4)192,903
C22.95(C6×D4) = C3×D4⋊Q8central stem extension (φ=1)96C2^2.95(C6xD4)192,907
C22.96(C6×D4) = C3×Q8⋊Q8central stem extension (φ=1)192C2^2.96(C6xD4)192,908
C22.97(C6×D4) = C3×D42Q8central stem extension (φ=1)96C2^2.97(C6xD4)192,909
C22.98(C6×D4) = C3×C4.Q16central stem extension (φ=1)192C2^2.98(C6xD4)192,910
C22.99(C6×D4) = C3×D4.Q8central stem extension (φ=1)96C2^2.99(C6xD4)192,911
C22.100(C6×D4) = C3×Q8.Q8central stem extension (φ=1)192C2^2.100(C6xD4)192,912
C22.101(C6×D4) = C3×C22.D8central stem extension (φ=1)96C2^2.101(C6xD4)192,913
C22.102(C6×D4) = C3×C23.46D4central stem extension (φ=1)96C2^2.102(C6xD4)192,914
C22.103(C6×D4) = C3×C23.19D4central stem extension (φ=1)96C2^2.103(C6xD4)192,915
C22.104(C6×D4) = C3×C23.47D4central stem extension (φ=1)96C2^2.104(C6xD4)192,916
C22.105(C6×D4) = C3×C23.48D4central stem extension (φ=1)96C2^2.105(C6xD4)192,917
C22.106(C6×D4) = C3×C23.20D4central stem extension (φ=1)96C2^2.106(C6xD4)192,918
C22.107(C6×D4) = C3×C4.4D8central stem extension (φ=1)96C2^2.107(C6xD4)192,919
C22.108(C6×D4) = C3×C4.SD16central stem extension (φ=1)192C2^2.108(C6xD4)192,920
C22.109(C6×D4) = C3×C42.78C22central stem extension (φ=1)96C2^2.109(C6xD4)192,921
C22.110(C6×D4) = C3×C42.28C22central stem extension (φ=1)96C2^2.110(C6xD4)192,922
C22.111(C6×D4) = C3×C42.29C22central stem extension (φ=1)96C2^2.111(C6xD4)192,923
C22.112(C6×D4) = C3×C42.30C22central stem extension (φ=1)192C2^2.112(C6xD4)192,924
C22.113(C6×D4) = C3×C85D4central stem extension (φ=1)96C2^2.113(C6xD4)192,925
C22.114(C6×D4) = C3×C84D4central stem extension (φ=1)96C2^2.114(C6xD4)192,926
C22.115(C6×D4) = C3×C4⋊Q16central stem extension (φ=1)192C2^2.115(C6xD4)192,927
C22.116(C6×D4) = C3×C8.12D4central stem extension (φ=1)96C2^2.116(C6xD4)192,928
C22.117(C6×D4) = C3×C83D4central stem extension (φ=1)96C2^2.117(C6xD4)192,929
C22.118(C6×D4) = C3×C8.2D4central stem extension (φ=1)96C2^2.118(C6xD4)192,930
C22.119(C6×D4) = C3×C83Q8central stem extension (φ=1)192C2^2.119(C6xD4)192,931
C22.120(C6×D4) = C3×C8.5Q8central stem extension (φ=1)192C2^2.120(C6xD4)192,932
C22.121(C6×D4) = C3×C82Q8central stem extension (φ=1)192C2^2.121(C6xD4)192,933
C22.122(C6×D4) = C3×C8⋊Q8central stem extension (φ=1)192C2^2.122(C6xD4)192,934

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