# Extensions 1→N→G→Q→1 with N=C22 and Q=C8.C22

Direct product G=N×Q with N=C22 and Q=C8.C22
dρLabelID
C22×C8.C2264C2^2xC8.C2^2128,2311

Semidirect products G=N:Q with N=C22 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C221(C8.C22) = M4(2)⋊15D4φ: C8.C22/M4(2)C2 ⊆ Aut C2232C2^2:1(C8.C2^2)128,1788
C222(C8.C22) = SD166D4φ: C8.C22/SD16C2 ⊆ Aut C2232C2^2:2(C8.C2^2)128,1998
C223(C8.C22) = Q169D4φ: C8.C22/Q16C2 ⊆ Aut C2264C2^2:3(C8.C2^2)128,2002
C224(C8.C22) = C24.178D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2:4(C8.C2^2)128,1736
C225(C8.C22) = C24.106D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2:5(C8.C2^2)128,1739

Non-split extensions G=N.Q with N=C22 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C22.1(C8.C22) = C42.258D4φ: C8.C22/M4(2)C2 ⊆ Aut C2264C2^2.1(C8.C2^2)128,1913
C22.2(C8.C22) = C24.123D4φ: C8.C22/M4(2)C2 ⊆ Aut C2232C2^2.2(C8.C2^2)128,1922
C22.3(C8.C22) = C42.296D4φ: C8.C22/M4(2)C2 ⊆ Aut C2264C2^2.3(C8.C2^2)128,1980
C22.4(C8.C22) = C42.47C23φ: C8.C22/SD16C2 ⊆ Aut C2264C2^2.4(C8.C2^2)128,2044
C22.5(C8.C22) = C42.49C23φ: C8.C22/SD16C2 ⊆ Aut C2232C2^2.5(C8.C2^2)128,2046
C22.6(C8.C22) = C42.58C23φ: C8.C22/SD16C2 ⊆ Aut C2264C2^2.6(C8.C2^2)128,2076
C22.7(C8.C22) = C42.51C23φ: C8.C22/Q16C2 ⊆ Aut C2264C2^2.7(C8.C2^2)128,2048
C22.8(C8.C22) = C42.55C23φ: C8.C22/Q16C2 ⊆ Aut C2264C2^2.8(C8.C2^2)128,2052
C22.9(C8.C22) = C42.60C23φ: C8.C22/Q16C2 ⊆ Aut C2264C2^2.9(C8.C2^2)128,2078
C22.10(C8.C22) = C24.150D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2216C2^2.10(C8.C2^2)128,236
C22.11(C8.C22) = C42.57D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.11(C8.C2^2)128,241
C22.12(C8.C22) = C42.58D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.12(C8.C2^2)128,244
C22.13(C8.C22) = C24.58D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.13(C8.C2^2)128,245
C22.14(C8.C22) = C4⋊C4.6D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.14(C8.C2^2)128,335
C22.15(C8.C22) = C24.12D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.15(C8.C2^2)128,338
C22.16(C8.C22) = C4⋊C4.18D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.16(C8.C2^2)128,347
C22.17(C8.C22) = C24.18D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.17(C8.C2^2)128,350
C22.18(C8.C22) = C24.183D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.18(C8.C2^2)128,1824
C22.19(C8.C22) = C42.235D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2264C2^2.19(C8.C2^2)128,1849
C22.20(C8.C22) = C24.129D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2232C2^2.20(C8.C2^2)128,1928
C22.21(C8.C22) = C42.276D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2264C2^2.21(C8.C2^2)128,1950
C22.22(C8.C22) = C42.291D4φ: C8.C22/C2×Q8C2 ⊆ Aut C2264C2^2.22(C8.C2^2)128,1971
C22.23(C8.C22) = C42.56D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.23(C8.C2^2)128,238
C22.24(C8.C22) = C24.55D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.24(C8.C2^2)128,240
C22.25(C8.C22) = C24.57D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.25(C8.C2^2)128,243
C22.26(C8.C22) = C42.60D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.26(C8.C2^2)128,247
C22.27(C8.C22) = C23⋊SD16φ: C8.C22/C4○D4C2 ⊆ Aut C2216C2^2.27(C8.C2^2)128,328
C22.28(C8.C22) = (C2×C4)⋊SD16φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.28(C8.C2^2)128,331
C22.29(C8.C22) = C23⋊Q16φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.29(C8.C2^2)128,334
C22.30(C8.C22) = (C2×C4)⋊Q16φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.30(C8.C2^2)128,337
C22.31(C8.C22) = C24.14D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.31(C8.C2^2)128,340
C22.32(C8.C22) = (C2×C4).SD16φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.32(C8.C2^2)128,343
C22.33(C8.C22) = C24.17D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.33(C8.C2^2)128,346
C22.34(C8.C22) = C4⋊C4.20D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.34(C8.C2^2)128,349
C22.35(C8.C22) = C24.118D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.35(C8.C2^2)128,1827
C22.36(C8.C22) = C42.228D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.36(C8.C2^2)128,1842
C22.37(C8.C22) = C42.231D4φ: C8.C22/C4○D4C2 ⊆ Aut C2264C2^2.37(C8.C2^2)128,1845
C22.38(C8.C22) = C24.126D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.38(C8.C2^2)128,1925
C22.39(C8.C22) = C24.128D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.39(C8.C2^2)128,1927
C22.40(C8.C22) = C42.273D4φ: C8.C22/C4○D4C2 ⊆ Aut C2232C2^2.40(C8.C2^2)128,1947
C22.41(C8.C22) = C42.288D4φ: C8.C22/C4○D4C2 ⊆ Aut C2264C2^2.41(C8.C2^2)128,1968
C22.42(C8.C22) = C24.152D4central extension (φ=1)64C2^2.42(C8.C2^2)128,468
C22.43(C8.C22) = D4⋊C42central extension (φ=1)64C2^2.43(C8.C2^2)128,494
C22.44(C8.C22) = Q8⋊C42central extension (φ=1)128C2^2.44(C8.C2^2)128,495
C22.45(C8.C22) = C8⋊C42central extension (φ=1)128C2^2.45(C8.C2^2)128,508
C22.46(C8.C22) = C24.155D4central extension (φ=1)64C2^2.46(C8.C2^2)128,519
C22.47(C8.C22) = C24.65D4central extension (φ=1)64C2^2.47(C8.C2^2)128,520
C22.48(C8.C22) = C42.98D4central extension (φ=1)64C2^2.48(C8.C2^2)128,534
C22.49(C8.C22) = C42.99D4central extension (φ=1)128C2^2.49(C8.C2^2)128,535
C22.50(C8.C22) = C42.101D4central extension (φ=1)128C2^2.50(C8.C2^2)128,537
C22.51(C8.C22) = C24.67D4central extension (φ=1)64C2^2.51(C8.C2^2)128,541
C22.52(C8.C22) = C23.36D8central extension (φ=1)64C2^2.52(C8.C2^2)128,555
C22.53(C8.C22) = C24.69D4central extension (φ=1)64C2^2.53(C8.C2^2)128,557
C22.54(C8.C22) = C42.24Q8central extension (φ=1)128C2^2.54(C8.C2^2)128,568
C22.55(C8.C22) = C42.26Q8central extension (φ=1)128C2^2.55(C8.C2^2)128,579
C22.56(C8.C22) = C23.37D8central extension (φ=1)64C2^2.56(C8.C2^2)128,584
C22.57(C8.C22) = C24.159D4central extension (φ=1)64C2^2.57(C8.C2^2)128,585
C22.58(C8.C22) = C24.71D4central extension (φ=1)64C2^2.58(C8.C2^2)128,586
C22.59(C8.C22) = C2.(C4×D8)central extension (φ=1)64C2^2.59(C8.C2^2)128,594
C22.60(C8.C22) = Q8⋊(C4⋊C4)central extension (φ=1)128C2^2.60(C8.C2^2)128,595
C22.61(C8.C22) = Q8⋊C4⋊C4central extension (φ=1)128C2^2.61(C8.C2^2)128,597
C22.62(C8.C22) = C24.160D4central extension (φ=1)64C2^2.62(C8.C2^2)128,604
C22.63(C8.C22) = C24.73D4central extension (φ=1)64C2^2.63(C8.C2^2)128,605
C22.64(C8.C22) = C23.38D8central extension (φ=1)64C2^2.64(C8.C2^2)128,606
C22.65(C8.C22) = (C2×SD16)⋊14C4central extension (φ=1)64C2^2.65(C8.C2^2)128,609
C22.66(C8.C22) = (C2×C4)⋊9Q16central extension (φ=1)128C2^2.66(C8.C2^2)128,610
C22.67(C8.C22) = (C2×SD16)⋊15C4central extension (φ=1)64C2^2.67(C8.C2^2)128,612
C22.68(C8.C22) = C24.75D4central extension (φ=1)64C2^2.68(C8.C2^2)128,626
C22.69(C8.C22) = C24.76D4central extension (φ=1)64C2^2.69(C8.C2^2)128,627
C22.70(C8.C22) = C2.D84C4central extension (φ=1)128C2^2.70(C8.C2^2)128,650
C22.71(C8.C22) = C4.Q89C4central extension (φ=1)128C2^2.71(C8.C2^2)128,651
C22.72(C8.C22) = C4.Q810C4central extension (φ=1)128C2^2.72(C8.C2^2)128,652
C22.73(C8.C22) = D4⋊C4⋊C4central extension (φ=1)64C2^2.73(C8.C2^2)128,657
C22.74(C8.C22) = C4.68(C4×D4)central extension (φ=1)128C2^2.74(C8.C2^2)128,659
C22.75(C8.C22) = C2.(C4×Q16)central extension (φ=1)128C2^2.75(C8.C2^2)128,660
C22.76(C8.C22) = C2.(C8⋊D4)central extension (φ=1)128C2^2.76(C8.C2^2)128,667
C22.77(C8.C22) = C2.(C82D4)central extension (φ=1)64C2^2.77(C8.C2^2)128,668
C22.78(C8.C22) = C4.(C4×Q8)central extension (φ=1)128C2^2.78(C8.C2^2)128,675
C22.79(C8.C22) = C8⋊(C4⋊C4)central extension (φ=1)128C2^2.79(C8.C2^2)128,676
C22.80(C8.C22) = C42.29Q8central extension (φ=1)128C2^2.80(C8.C2^2)128,679
C22.81(C8.C22) = C42.30Q8central extension (φ=1)128C2^2.81(C8.C2^2)128,680
C22.82(C8.C22) = C42.31Q8central extension (φ=1)128C2^2.82(C8.C2^2)128,681
C22.83(C8.C22) = C42.110D4central extension (φ=1)64C2^2.83(C8.C2^2)128,691
C22.84(C8.C22) = C42.111D4central extension (φ=1)128C2^2.84(C8.C2^2)128,692
C22.85(C8.C22) = (C2×Q16)⋊10C4central extension (φ=1)128C2^2.85(C8.C2^2)128,703
C22.86(C8.C22) = C8⋊(C22⋊C4)central extension (φ=1)64C2^2.86(C8.C2^2)128,705
C22.87(C8.C22) = C42.117D4central extension (φ=1)128C2^2.87(C8.C2^2)128,713
C22.88(C8.C22) = C42.119D4central extension (φ=1)64C2^2.88(C8.C2^2)128,715
C22.89(C8.C22) = C42.122D4central extension (φ=1)128C2^2.89(C8.C2^2)128,720
C22.90(C8.C22) = C42.123D4central extension (φ=1)128C2^2.90(C8.C2^2)128,721
C22.91(C8.C22) = C42.124D4central extension (φ=1)128C2^2.91(C8.C2^2)128,724
C22.92(C8.C22) = C42.125D4central extension (φ=1)128C2^2.92(C8.C2^2)128,725
C22.93(C8.C22) = C2×C23.38D4central extension (φ=1)64C2^2.93(C8.C2^2)128,1626
C22.94(C8.C22) = C2×C23.36D4central extension (φ=1)64C2^2.94(C8.C2^2)128,1627
C22.95(C8.C22) = C2×M4(2)⋊C4central extension (φ=1)64C2^2.95(C8.C2^2)128,1642
C22.96(C8.C22) = C2×SD16⋊C4central extension (φ=1)64C2^2.96(C8.C2^2)128,1672
C22.97(C8.C22) = C2×Q16⋊C4central extension (φ=1)128C2^2.97(C8.C2^2)128,1673
C22.98(C8.C22) = C2×Q8⋊D4central extension (φ=1)64C2^2.98(C8.C2^2)128,1730
C22.99(C8.C22) = C2×C22⋊Q16central extension (φ=1)64C2^2.99(C8.C2^2)128,1731
C22.100(C8.C22) = C2×D4.7D4central extension (φ=1)64C2^2.100(C8.C2^2)128,1733
C22.101(C8.C22) = C2×D4.D4central extension (φ=1)64C2^2.101(C8.C2^2)128,1762
C22.102(C8.C22) = C2×C42Q16central extension (φ=1)128C2^2.102(C8.C2^2)128,1765
C22.103(C8.C22) = C2×Q8.D4central extension (φ=1)64C2^2.103(C8.C2^2)128,1766
C22.104(C8.C22) = C2×C8⋊D4central extension (φ=1)64C2^2.104(C8.C2^2)128,1783
C22.105(C8.C22) = C2×C8.D4central extension (φ=1)64C2^2.105(C8.C2^2)128,1785
C22.106(C8.C22) = C2×D4⋊Q8central extension (φ=1)64C2^2.106(C8.C2^2)128,1802
C22.107(C8.C22) = C2×Q8⋊Q8central extension (φ=1)128C2^2.107(C8.C2^2)128,1805
C22.108(C8.C22) = C2×Q8.Q8central extension (φ=1)128C2^2.108(C8.C2^2)128,1807
C22.109(C8.C22) = C2×C22.D8central extension (φ=1)64C2^2.109(C8.C2^2)128,1817
C22.110(C8.C22) = C2×C23.47D4central extension (φ=1)64C2^2.110(C8.C2^2)128,1818
C22.111(C8.C22) = C2×C23.20D4central extension (φ=1)64C2^2.111(C8.C2^2)128,1820
C22.112(C8.C22) = C2×C42.28C22central extension (φ=1)64C2^2.112(C8.C2^2)128,1864
C22.113(C8.C22) = C2×C42.30C22central extension (φ=1)128C2^2.113(C8.C2^2)128,1866
C22.114(C8.C22) = C2×C8.2D4central extension (φ=1)64C2^2.114(C8.C2^2)128,1881
C22.115(C8.C22) = C2×C8⋊Q8central extension (φ=1)128C2^2.115(C8.C2^2)128,1893
C22.116(C8.C22) = C233SD16central stem extension (φ=1)64C2^2.116(C8.C2^2)128,732
C22.117(C8.C22) = C232Q16central stem extension (φ=1)64C2^2.117(C8.C2^2)128,733
C22.118(C8.C22) = (C2×C4)⋊3SD16central stem extension (φ=1)64C2^2.118(C8.C2^2)128,745
C22.119(C8.C22) = (C2×C8).41D4central stem extension (φ=1)64C2^2.119(C8.C2^2)128,747
C22.120(C8.C22) = (C2×C4)⋊2Q16central stem extension (φ=1)128C2^2.120(C8.C2^2)128,748
C22.121(C8.C22) = (C2×D4)⋊Q8central stem extension (φ=1)64C2^2.121(C8.C2^2)128,755
C22.122(C8.C22) = (C2×Q8)⋊Q8central stem extension (φ=1)128C2^2.122(C8.C2^2)128,756
C22.123(C8.C22) = C4⋊C4.85D4central stem extension (φ=1)128C2^2.123(C8.C2^2)128,758
C22.124(C8.C22) = C24.83D4central stem extension (φ=1)64C2^2.124(C8.C2^2)128,765
C22.125(C8.C22) = C24.85D4central stem extension (φ=1)64C2^2.125(C8.C2^2)128,767
C22.126(C8.C22) = C24.86D4central stem extension (φ=1)64C2^2.126(C8.C2^2)128,768
C22.127(C8.C22) = C4⋊C4.94D4central stem extension (φ=1)64C2^2.127(C8.C2^2)128,774
C22.128(C8.C22) = C4⋊C4.95D4central stem extension (φ=1)128C2^2.128(C8.C2^2)128,775
C22.129(C8.C22) = (C2×C4)⋊5SD16central stem extension (φ=1)64C2^2.129(C8.C2^2)128,787
C22.130(C8.C22) = (C2×C4)⋊3Q16central stem extension (φ=1)128C2^2.130(C8.C2^2)128,788
C22.131(C8.C22) = C4⋊C4⋊Q8central stem extension (φ=1)128C2^2.131(C8.C2^2)128,789
C22.132(C8.C22) = (C2×C8)⋊Q8central stem extension (φ=1)128C2^2.132(C8.C2^2)128,790
C22.133(C8.C22) = C2.(C8⋊Q8)central stem extension (φ=1)128C2^2.133(C8.C2^2)128,791
C22.134(C8.C22) = (C2×Q8).8Q8central stem extension (φ=1)128C2^2.134(C8.C2^2)128,798
C22.135(C8.C22) = (C2×C4).23D8central stem extension (φ=1)64C2^2.135(C8.C2^2)128,799
C22.136(C8.C22) = (C2×C8).52D4central stem extension (φ=1)128C2^2.136(C8.C2^2)128,800
C22.137(C8.C22) = (C2×C4).24D8central stem extension (φ=1)64C2^2.137(C8.C2^2)128,803
C22.138(C8.C22) = (C2×C4).19Q16central stem extension (φ=1)128C2^2.138(C8.C2^2)128,804
C22.139(C8.C22) = (C2×Q8).109D4central stem extension (φ=1)128C2^2.139(C8.C2^2)128,806
C22.140(C8.C22) = C23.12D8central stem extension (φ=1)64C2^2.140(C8.C2^2)128,807
C22.141(C8.C22) = C24.89D4central stem extension (φ=1)64C2^2.141(C8.C2^2)128,809
C22.142(C8.C22) = (C2×C8).1Q8central stem extension (φ=1)128C2^2.142(C8.C2^2)128,815
C22.143(C8.C22) = C2.(C83Q8)central stem extension (φ=1)128C2^2.143(C8.C2^2)128,816
C22.144(C8.C22) = (C2×C8).24Q8central stem extension (φ=1)128C2^2.144(C8.C2^2)128,817
C22.145(C8.C22) = (C2×C4).26D8central stem extension (φ=1)128C2^2.145(C8.C2^2)128,818
C22.146(C8.C22) = C4.(C4⋊Q8)central stem extension (φ=1)128C2^2.146(C8.C2^2)128,820
C22.147(C8.C22) = (C2×C4).27D8central stem extension (φ=1)64C2^2.147(C8.C2^2)128,825
C22.148(C8.C22) = (C2×C8).170D4central stem extension (φ=1)128C2^2.148(C8.C2^2)128,828
C22.149(C8.C22) = (C2×C8).171D4central stem extension (φ=1)128C2^2.149(C8.C2^2)128,829
C22.150(C8.C22) = (C2×C4).28D8central stem extension (φ=1)128C2^2.150(C8.C2^2)128,831
C22.151(C8.C22) = C4⋊C4.Q8central stem extension (φ=1)128C2^2.151(C8.C2^2)128,833

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