Extensions 1→N→G→Q→1 with N=C22 and Q=D4×C10

Direct product G=N×Q with N=C22 and Q=D4×C10
dρLabelID
D4×C22×C10160D4xC2^2xC10320,1629

Semidirect products G=N:Q with N=C22 and Q=D4×C10
extensionφ:Q→Aut NdρLabelID
C221(D4×C10) = C10×C4⋊D4φ: D4×C10/C2×C20C2 ⊆ Aut C22160C2^2:1(D4xC10)320,1524
C222(D4×C10) = C5×D42φ: D4×C10/C5×D4C2 ⊆ Aut C2280C2^2:2(D4xC10)320,1547
C223(D4×C10) = C10×C22≀C2φ: D4×C10/C22×C10C2 ⊆ Aut C2280C2^2:3(D4xC10)320,1523

Non-split extensions G=N.Q with N=C22 and Q=D4×C10
extensionφ:Q→Aut NdρLabelID
C22.1(D4×C10) = C5×C22.26C24φ: D4×C10/C2×C20C2 ⊆ Aut C22160C2^2.1(D4xC10)320,1534
C22.2(D4×C10) = C5×C233D4φ: D4×C10/C2×C20C2 ⊆ Aut C2280C2^2.2(D4xC10)320,1536
C22.3(D4×C10) = C5×C22.31C24φ: D4×C10/C2×C20C2 ⊆ Aut C22160C2^2.3(D4xC10)320,1539
C22.4(D4×C10) = C10×C4○D8φ: D4×C10/C2×C20C2 ⊆ Aut C22160C2^2.4(D4xC10)320,1574
C22.5(D4×C10) = C5×D45D4φ: D4×C10/C5×D4C2 ⊆ Aut C2280C2^2.5(D4xC10)320,1548
C22.6(D4×C10) = C5×D46D4φ: D4×C10/C5×D4C2 ⊆ Aut C22160C2^2.6(D4xC10)320,1549
C22.7(D4×C10) = C5×D4○D8φ: D4×C10/C5×D4C2 ⊆ Aut C22804C2^2.7(D4xC10)320,1578
C22.8(D4×C10) = C5×D4○SD16φ: D4×C10/C5×D4C2 ⊆ Aut C22804C2^2.8(D4xC10)320,1579
C22.9(D4×C10) = C5×Q8○D8φ: D4×C10/C5×D4C2 ⊆ Aut C221604C2^2.9(D4xC10)320,1580
C22.10(D4×C10) = C10×C23⋊C4φ: D4×C10/C22×C10C2 ⊆ Aut C2280C2^2.10(D4xC10)320,910
C22.11(D4×C10) = C5×C23.C23φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.11(D4xC10)320,911
C22.12(D4×C10) = C10×C4≀C2φ: D4×C10/C22×C10C2 ⊆ Aut C2280C2^2.12(D4xC10)320,921
C22.13(D4×C10) = C5×C42⋊C22φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.13(D4xC10)320,922
C22.14(D4×C10) = C5×D44D4φ: D4×C10/C22×C10C2 ⊆ Aut C22404C2^2.14(D4xC10)320,954
C22.15(D4×C10) = C5×D4.8D4φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.15(D4xC10)320,955
C22.16(D4×C10) = C5×D4.9D4φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.16(D4xC10)320,956
C22.17(D4×C10) = C5×D4.10D4φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.17(D4xC10)320,957
C22.18(D4×C10) = C5×C2≀C22φ: D4×C10/C22×C10C2 ⊆ Aut C22404C2^2.18(D4xC10)320,958
C22.19(D4×C10) = C5×C23.7D4φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.19(D4xC10)320,959
C22.20(D4×C10) = C5×C22.19C24φ: D4×C10/C22×C10C2 ⊆ Aut C2280C2^2.20(D4xC10)320,1527
C22.21(D4×C10) = C5×C22.29C24φ: D4×C10/C22×C10C2 ⊆ Aut C2280C2^2.21(D4xC10)320,1537
C22.22(D4×C10) = C5×C23.38C23φ: D4×C10/C22×C10C2 ⊆ Aut C22160C2^2.22(D4xC10)320,1538
C22.23(D4×C10) = C10×C8⋊C22φ: D4×C10/C22×C10C2 ⊆ Aut C2280C2^2.23(D4xC10)320,1575
C22.24(D4×C10) = C10×C8.C22φ: D4×C10/C22×C10C2 ⊆ Aut C22160C2^2.24(D4xC10)320,1576
C22.25(D4×C10) = C5×D8⋊C22φ: D4×C10/C22×C10C2 ⊆ Aut C22804C2^2.25(D4xC10)320,1577
C22.26(D4×C10) = C10×C2.C42central extension (φ=1)320C2^2.26(D4xC10)320,876
C22.27(D4×C10) = C22⋊C4×C20central extension (φ=1)160C2^2.27(D4xC10)320,878
C22.28(D4×C10) = C4⋊C4×C20central extension (φ=1)320C2^2.28(D4xC10)320,879
C22.29(D4×C10) = C5×C243C4central extension (φ=1)80C2^2.29(D4xC10)320,880
C22.30(D4×C10) = C5×C23.7Q8central extension (φ=1)160C2^2.30(D4xC10)320,881
C22.31(D4×C10) = C5×C23.34D4central extension (φ=1)160C2^2.31(D4xC10)320,882
C22.32(D4×C10) = C5×C428C4central extension (φ=1)320C2^2.32(D4xC10)320,883
C22.33(D4×C10) = C5×C429C4central extension (φ=1)320C2^2.33(D4xC10)320,885
C22.34(D4×C10) = C5×C23.8Q8central extension (φ=1)160C2^2.34(D4xC10)320,886
C22.35(D4×C10) = C5×C23.23D4central extension (φ=1)160C2^2.35(D4xC10)320,887
C22.36(D4×C10) = C5×C23.63C23central extension (φ=1)320C2^2.36(D4xC10)320,888
C22.37(D4×C10) = C5×C24.C22central extension (φ=1)160C2^2.37(D4xC10)320,889
C22.38(D4×C10) = C5×C23.65C23central extension (φ=1)320C2^2.38(D4xC10)320,890
C22.39(D4×C10) = C5×C24.3C22central extension (φ=1)160C2^2.39(D4xC10)320,891
C22.40(D4×C10) = C5×C23.67C23central extension (φ=1)320C2^2.40(D4xC10)320,892
C22.41(D4×C10) = C10×D4⋊C4central extension (φ=1)160C2^2.41(D4xC10)320,915
C22.42(D4×C10) = C10×Q8⋊C4central extension (φ=1)320C2^2.42(D4xC10)320,916
C22.43(D4×C10) = C5×C23.24D4central extension (φ=1)160C2^2.43(D4xC10)320,917
C22.44(D4×C10) = C5×C23.36D4central extension (φ=1)160C2^2.44(D4xC10)320,918
C22.45(D4×C10) = C5×C23.37D4central extension (φ=1)80C2^2.45(D4xC10)320,919
C22.46(D4×C10) = C5×C23.38D4central extension (φ=1)160C2^2.46(D4xC10)320,920
C22.47(D4×C10) = C10×C4.Q8central extension (φ=1)320C2^2.47(D4xC10)320,926
C22.48(D4×C10) = C10×C2.D8central extension (φ=1)320C2^2.48(D4xC10)320,927
C22.49(D4×C10) = C5×C23.25D4central extension (φ=1)160C2^2.49(D4xC10)320,928
C22.50(D4×C10) = C5×M4(2)⋊C4central extension (φ=1)160C2^2.50(D4xC10)320,929
C22.51(D4×C10) = D8×C20central extension (φ=1)160C2^2.51(D4xC10)320,938
C22.52(D4×C10) = SD16×C20central extension (φ=1)160C2^2.52(D4xC10)320,939
C22.53(D4×C10) = Q16×C20central extension (φ=1)320C2^2.53(D4xC10)320,940
C22.54(D4×C10) = C5×SD16⋊C4central extension (φ=1)160C2^2.54(D4xC10)320,941
C22.55(D4×C10) = C5×Q16⋊C4central extension (φ=1)320C2^2.55(D4xC10)320,942
C22.56(D4×C10) = C5×D8⋊C4central extension (φ=1)160C2^2.56(D4xC10)320,943
C22.57(D4×C10) = C22⋊C4×C2×C10central extension (φ=1)160C2^2.57(D4xC10)320,1514
C22.58(D4×C10) = C4⋊C4×C2×C10central extension (φ=1)320C2^2.58(D4xC10)320,1515
C22.59(D4×C10) = D4×C2×C20central extension (φ=1)160C2^2.59(D4xC10)320,1517
C22.60(D4×C10) = C10×C22⋊Q8central extension (φ=1)160C2^2.60(D4xC10)320,1525
C22.61(D4×C10) = C10×C22.D4central extension (φ=1)160C2^2.61(D4xC10)320,1526
C22.62(D4×C10) = C10×C4.4D4central extension (φ=1)160C2^2.62(D4xC10)320,1528
C22.63(D4×C10) = C10×C41D4central extension (φ=1)160C2^2.63(D4xC10)320,1532
C22.64(D4×C10) = C10×C4⋊Q8central extension (φ=1)320C2^2.64(D4xC10)320,1533
C22.65(D4×C10) = D8×C2×C10central extension (φ=1)160C2^2.65(D4xC10)320,1571
C22.66(D4×C10) = SD16×C2×C10central extension (φ=1)160C2^2.66(D4xC10)320,1572
C22.67(D4×C10) = Q16×C2×C10central extension (φ=1)320C2^2.67(D4xC10)320,1573
C22.68(D4×C10) = C5×C232D4central stem extension (φ=1)160C2^2.68(D4xC10)320,893
C22.69(D4×C10) = C5×C23⋊Q8central stem extension (φ=1)160C2^2.69(D4xC10)320,894
C22.70(D4×C10) = C5×C23.10D4central stem extension (φ=1)160C2^2.70(D4xC10)320,895
C22.71(D4×C10) = C5×C23.78C23central stem extension (φ=1)320C2^2.71(D4xC10)320,896
C22.72(D4×C10) = C5×C23.Q8central stem extension (φ=1)160C2^2.72(D4xC10)320,897
C22.73(D4×C10) = C5×C23.11D4central stem extension (φ=1)160C2^2.73(D4xC10)320,898
C22.74(D4×C10) = C5×C23.81C23central stem extension (φ=1)320C2^2.74(D4xC10)320,899
C22.75(D4×C10) = C5×C23.4Q8central stem extension (φ=1)160C2^2.75(D4xC10)320,900
C22.76(D4×C10) = C5×C23.83C23central stem extension (φ=1)320C2^2.76(D4xC10)320,901
C22.77(D4×C10) = C5×C22⋊D8central stem extension (φ=1)80C2^2.77(D4xC10)320,948
C22.78(D4×C10) = C5×Q8⋊D4central stem extension (φ=1)160C2^2.78(D4xC10)320,949
C22.79(D4×C10) = C5×D4⋊D4central stem extension (φ=1)160C2^2.79(D4xC10)320,950
C22.80(D4×C10) = C5×C22⋊SD16central stem extension (φ=1)80C2^2.80(D4xC10)320,951
C22.81(D4×C10) = C5×C22⋊Q16central stem extension (φ=1)160C2^2.81(D4xC10)320,952
C22.82(D4×C10) = C5×D4.7D4central stem extension (φ=1)160C2^2.82(D4xC10)320,953
C22.83(D4×C10) = C5×C4⋊D8central stem extension (φ=1)160C2^2.83(D4xC10)320,960
C22.84(D4×C10) = C5×C4⋊SD16central stem extension (φ=1)160C2^2.84(D4xC10)320,961
C22.85(D4×C10) = C5×D4.D4central stem extension (φ=1)160C2^2.85(D4xC10)320,962
C22.86(D4×C10) = C5×C42Q16central stem extension (φ=1)320C2^2.86(D4xC10)320,963
C22.87(D4×C10) = C5×D4.2D4central stem extension (φ=1)160C2^2.87(D4xC10)320,964
C22.88(D4×C10) = C5×Q8.D4central stem extension (φ=1)160C2^2.88(D4xC10)320,965
C22.89(D4×C10) = C5×C88D4central stem extension (φ=1)160C2^2.89(D4xC10)320,966
C22.90(D4×C10) = C5×C87D4central stem extension (φ=1)160C2^2.90(D4xC10)320,967
C22.91(D4×C10) = C5×C8.18D4central stem extension (φ=1)160C2^2.91(D4xC10)320,968
C22.92(D4×C10) = C5×C8⋊D4central stem extension (φ=1)160C2^2.92(D4xC10)320,969
C22.93(D4×C10) = C5×C82D4central stem extension (φ=1)160C2^2.93(D4xC10)320,970
C22.94(D4×C10) = C5×C8.D4central stem extension (φ=1)160C2^2.94(D4xC10)320,971
C22.95(D4×C10) = C5×D4⋊Q8central stem extension (φ=1)160C2^2.95(D4xC10)320,975
C22.96(D4×C10) = C5×Q8⋊Q8central stem extension (φ=1)320C2^2.96(D4xC10)320,976
C22.97(D4×C10) = C5×D42Q8central stem extension (φ=1)160C2^2.97(D4xC10)320,977
C22.98(D4×C10) = C5×C4.Q16central stem extension (φ=1)320C2^2.98(D4xC10)320,978
C22.99(D4×C10) = C5×D4.Q8central stem extension (φ=1)160C2^2.99(D4xC10)320,979
C22.100(D4×C10) = C5×Q8.Q8central stem extension (φ=1)320C2^2.100(D4xC10)320,980
C22.101(D4×C10) = C5×C22.D8central stem extension (φ=1)160C2^2.101(D4xC10)320,981
C22.102(D4×C10) = C5×C23.46D4central stem extension (φ=1)160C2^2.102(D4xC10)320,982
C22.103(D4×C10) = C5×C23.19D4central stem extension (φ=1)160C2^2.103(D4xC10)320,983
C22.104(D4×C10) = C5×C23.47D4central stem extension (φ=1)160C2^2.104(D4xC10)320,984
C22.105(D4×C10) = C5×C23.48D4central stem extension (φ=1)160C2^2.105(D4xC10)320,985
C22.106(D4×C10) = C5×C23.20D4central stem extension (φ=1)160C2^2.106(D4xC10)320,986
C22.107(D4×C10) = C5×C4.4D8central stem extension (φ=1)160C2^2.107(D4xC10)320,987
C22.108(D4×C10) = C5×C4.SD16central stem extension (φ=1)320C2^2.108(D4xC10)320,988
C22.109(D4×C10) = C5×C42.78C22central stem extension (φ=1)160C2^2.109(D4xC10)320,989
C22.110(D4×C10) = C5×C42.28C22central stem extension (φ=1)160C2^2.110(D4xC10)320,990
C22.111(D4×C10) = C5×C42.29C22central stem extension (φ=1)160C2^2.111(D4xC10)320,991
C22.112(D4×C10) = C5×C42.30C22central stem extension (φ=1)320C2^2.112(D4xC10)320,992
C22.113(D4×C10) = C5×C85D4central stem extension (φ=1)160C2^2.113(D4xC10)320,993
C22.114(D4×C10) = C5×C84D4central stem extension (φ=1)160C2^2.114(D4xC10)320,994
C22.115(D4×C10) = C5×C4⋊Q16central stem extension (φ=1)320C2^2.115(D4xC10)320,995
C22.116(D4×C10) = C5×C8.12D4central stem extension (φ=1)160C2^2.116(D4xC10)320,996
C22.117(D4×C10) = C5×C83D4central stem extension (φ=1)160C2^2.117(D4xC10)320,997
C22.118(D4×C10) = C5×C8.2D4central stem extension (φ=1)160C2^2.118(D4xC10)320,998
C22.119(D4×C10) = C5×C83Q8central stem extension (φ=1)320C2^2.119(D4xC10)320,999
C22.120(D4×C10) = C5×C8.5Q8central stem extension (φ=1)320C2^2.120(D4xC10)320,1000
C22.121(D4×C10) = C5×C82Q8central stem extension (φ=1)320C2^2.121(D4xC10)320,1001
C22.122(D4×C10) = C5×C8⋊Q8central stem extension (φ=1)320C2^2.122(D4xC10)320,1002

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