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Extensions 1→N→G→Q→1 with N=C4 and Q=C4⋊D4

Direct product G=N×Q with N=C4 and Q=C4⋊D4
dρLabelID
C4×C4⋊D464C4xC4:D4128,1032

Semidirect products G=N:Q with N=C4 and Q=C4⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C4⋊D4) = C23.328C24φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4:1(C4:D4)128,1160
C4⋊2(C4⋊D4) = C42⋊20D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4:2(C4:D4)128,1273
C4⋊3(C4⋊D4) = C42⋊47D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4:3(C4:D4)128,1588
C4⋊4(C4⋊D4) = C23.316C24φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4:4(C4:D4)128,1148
C4⋊5(C4⋊D4) = C42⋊18D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4:5(C4:D4)128,1269

Non-split extensions G=N.Q with N=C4 and Q=C4⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C4⋊D4) = (C2×SD16)⋊14C4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.1(C4:D4)128,609
C4.2(C4⋊D4) = (C2×C4)⋊9Q16φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4128C4.2(C4:D4)128,610
C4.3(C4⋊D4) = (C2×C4)⋊9D8φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.3(C4:D4)128,611
C4.4(C4⋊D4) = (C2×SD16)⋊15C4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.4(C4:D4)128,612
C4.5(C4⋊D4) = C24.23D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.5(C4:D4)128,617
C4.6(C4⋊D4) = C4⋊Q8⋊15C4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.6(C4:D4)128,618
C4.7(C4⋊D4) = C24.24D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C416C4.7(C4:D4)128,619
C4.8(C4⋊D4) = C4.4D4⋊13C4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.8(C4:D4)128,620
C4.9(C4⋊D4) = M4(2).48D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.9(C4:D4)128,639
C4.10(C4⋊D4) = M4(2).49D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.10(C4:D4)128,640
C4.11(C4⋊D4) = M4(2)⋊21D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4168+C4.11(C4:D4)128,646
C4.12(C4⋊D4) = M4(2).50D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4328-C4.12(C4:D4)128,647
C4.13(C4⋊D4) = C23⋊2D8φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.13(C4:D4)128,731
C4.14(C4⋊D4) = C23⋊3SD16φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.14(C4:D4)128,732
C4.15(C4⋊D4) = C23⋊2Q16φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.15(C4:D4)128,733
C4.16(C4⋊D4) = M4(2)⋊D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.16(C4:D4)128,738
C4.17(C4⋊D4) = M4(2)⋊4D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.17(C4:D4)128,739
C4.18(C4⋊D4) = M4(2)⋊5D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4168+C4.18(C4:D4)128,740
C4.19(C4⋊D4) = M4(2).D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4328-C4.19(C4:D4)128,741
C4.20(C4⋊D4) = M4(2)⋊6D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.20(C4:D4)128,769
C4.21(C4⋊D4) = M4(2).7D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.21(C4:D4)128,770
C4.22(C4⋊D4) = C4⋊C4⋊7D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.22(C4:D4)128,773
C4.23(C4⋊D4) = C4⋊C4.94D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.23(C4:D4)128,774
C4.24(C4⋊D4) = C4⋊C4.95D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4128C4.24(C4:D4)128,775
C4.25(C4⋊D4) = C4⋊C4.96D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.25(C4:D4)128,777
C4.26(C4⋊D4) = C4⋊C4.97D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.26(C4:D4)128,778
C4.27(C4⋊D4) = C4⋊C4.98D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.27(C4:D4)128,779
C4.28(C4⋊D4) = M4(2).8D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4168+C4.28(C4:D4)128,780
C4.29(C4⋊D4) = M4(2).9D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C4328-C4.29(C4:D4)128,781
C4.30(C4⋊D4) = C24.259C23φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.30(C4:D4)128,1158
C4.31(C4⋊D4) = C23.327C24φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.31(C4:D4)128,1159
C4.32(C4⋊D4) = C23.329C24φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.32(C4:D4)128,1161
C4.33(C4⋊D4) = C42.14C23φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.33(C4:D4)128,1773
C4.34(C4⋊D4) = C42.15C23φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.34(C4:D4)128,1774
C4.35(C4⋊D4) = C42.16C23φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.35(C4:D4)128,1775
C4.36(C4⋊D4) = C42.17C23φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.36(C4:D4)128,1776
C4.37(C4⋊D4) = M4(2)⋊16D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C432C4.37(C4:D4)128,1794
C4.38(C4⋊D4) = M4(2)⋊17D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C464C4.38(C4:D4)128,1795
C4.39(C4⋊D4) = C42⋊9D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C416C4.39(C4:D4)128,734
C4.40(C4⋊D4) = C42.129D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C432C4.40(C4:D4)128,735
C4.41(C4⋊D4) = C42⋊10D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C432C4.41(C4:D4)128,736
C4.42(C4⋊D4) = C42.130D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C432C4.42(C4:D4)128,737
C4.43(C4⋊D4) = (C2×C4)⋊2D8φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.43(C4:D4)128,743
C4.44(C4⋊D4) = (C22×D8).C2φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.44(C4:D4)128,744
C4.45(C4⋊D4) = (C2×C4)⋊3SD16φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.45(C4:D4)128,745
C4.46(C4⋊D4) = (C2×C8)⋊20D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.46(C4:D4)128,746
C4.47(C4⋊D4) = (C2×C8).41D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.47(C4:D4)128,747
C4.48(C4⋊D4) = (C2×C4)⋊2Q16φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4128C4.48(C4:D4)128,748
C4.49(C4⋊D4) = D8⋊2D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.49(C4:D4)128,938
C4.50(C4⋊D4) = Q16⋊2D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.50(C4:D4)128,939
C4.51(C4⋊D4) = D8.4D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.51(C4:D4)128,940
C4.52(C4⋊D4) = Q16.4D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4128C4.52(C4:D4)128,941
C4.53(C4⋊D4) = D8.5D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.53(C4:D4)128,942
C4.54(C4⋊D4) = Q16.5D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.54(C4:D4)128,943
C4.55(C4⋊D4) = C8.3D8φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4324C4.55(C4:D4)128,944
C4.56(C4⋊D4) = D8⋊3D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4164+C4.56(C4:D4)128,945
C4.57(C4⋊D4) = C8.5D8φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4324-C4.57(C4:D4)128,946
C4.58(C4⋊D4) = C42⋊21D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.58(C4:D4)128,1276
C4.59(C4⋊D4) = C42.168D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.59(C4:D4)128,1277
C4.60(C4⋊D4) = C42.169D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4128C4.60(C4:D4)128,1278
C4.61(C4⋊D4) = C42.170D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.61(C4:D4)128,1279
C4.62(C4⋊D4) = C42.171D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.62(C4:D4)128,1280
C4.63(C4⋊D4) = C2×C4⋊D8φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.63(C4:D4)128,1761
C4.64(C4⋊D4) = C2×D4.D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.64(C4:D4)128,1762
C4.65(C4⋊D4) = C2×D4.2D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.65(C4:D4)128,1763
C4.66(C4⋊D4) = C2×C4⋊SD16φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.66(C4:D4)128,1764
C4.67(C4⋊D4) = C2×C4⋊2Q16φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C4128C4.67(C4:D4)128,1765
C4.68(C4⋊D4) = C2×Q8.D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.68(C4:D4)128,1766
C4.69(C4⋊D4) = (C2×C8)⋊11D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C432C4.69(C4:D4)128,1789
C4.70(C4⋊D4) = (C2×C8)⋊12D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C432C4.70(C4:D4)128,1790
C4.71(C4⋊D4) = C8.D4⋊C2φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C464C4.71(C4:D4)128,1791
C4.72(C4⋊D4) = C42.431D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4128C4.72(C4:D4)128,688
C4.73(C4⋊D4) = C42.432D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.73(C4:D4)128,689
C4.74(C4⋊D4) = C42.433D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.74(C4:D4)128,690
C4.75(C4⋊D4) = C42.110D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.75(C4:D4)128,691
C4.76(C4⋊D4) = C42.111D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4128C4.76(C4:D4)128,692
C4.77(C4⋊D4) = C42.112D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.77(C4:D4)128,693
C4.78(C4⋊D4) = M4(2)⋊12D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.78(C4:D4)128,697
C4.79(C4⋊D4) = C42.114D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.79(C4:D4)128,698
C4.80(C4⋊D4) = C42.115D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.80(C4:D4)128,699
C4.81(C4⋊D4) = (C2×C4)⋊9SD16φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.81(C4:D4)128,700
C4.82(C4⋊D4) = (C2×C4)⋊6Q16φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4128C4.82(C4:D4)128,701
C4.83(C4⋊D4) = (C2×C4)⋊6D8φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.83(C4:D4)128,702
C4.84(C4⋊D4) = (C2×Q16)⋊10C4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4128C4.84(C4:D4)128,703
C4.85(C4⋊D4) = (C2×D8)⋊10C4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.85(C4:D4)128,704
C4.86(C4⋊D4) = C8⋊(C22⋊C4)φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.86(C4:D4)128,705
C4.87(C4⋊D4) = M4(2).31D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.87(C4:D4)128,709
C4.88(C4⋊D4) = M4(2).32D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.88(C4:D4)128,710
C4.89(C4⋊D4) = M4(2).33D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.89(C4:D4)128,711
C4.90(C4⋊D4) = C16⋊7D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.90(C4:D4)128,947
C4.91(C4⋊D4) = C16.19D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.91(C4:D4)128,948
C4.92(C4⋊D4) = C16⋊8D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.92(C4:D4)128,949
C4.93(C4⋊D4) = C16⋊D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.93(C4:D4)128,950
C4.94(C4⋊D4) = C16.D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.94(C4:D4)128,951
C4.95(C4⋊D4) = C16⋊2D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.95(C4:D4)128,952
C4.96(C4⋊D4) = D4.3D8φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4324+C4.96(C4:D4)128,953
C4.97(C4⋊D4) = D4.4D8φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4644-C4.97(C4:D4)128,954
C4.98(C4⋊D4) = D4.5D8φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C4324C4.98(C4:D4)128,955
C4.99(C4⋊D4) = C42⋊27D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.99(C4:D4)128,1351
C4.100(C4⋊D4) = C42⋊28D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.100(C4:D4)128,1352
C4.101(C4⋊D4) = C42.186D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.101(C4:D4)128,1353
C4.102(C4⋊D4) = C42⋊46D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.102(C4:D4)128,1582
C4.103(C4⋊D4) = C42.440D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.103(C4:D4)128,1589
C4.104(C4⋊D4) = C42.444D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.104(C4:D4)128,1770
C4.105(C4⋊D4) = C42.445D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.105(C4:D4)128,1771
C4.106(C4⋊D4) = C42.446D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.106(C4:D4)128,1772
C4.107(C4⋊D4) = C2×C8⋊8D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.107(C4:D4)128,1779
C4.108(C4⋊D4) = C2×C8⋊7D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.108(C4:D4)128,1780
C4.109(C4⋊D4) = C2×C8.18D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.109(C4:D4)128,1781
C4.110(C4⋊D4) = C2×C8⋊D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.110(C4:D4)128,1783
C4.111(C4⋊D4) = C2×C8⋊2D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.111(C4:D4)128,1784
C4.112(C4⋊D4) = C2×C8.D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.112(C4:D4)128,1785
C4.113(C4⋊D4) = C2×D4.3D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.113(C4:D4)128,1796
C4.114(C4⋊D4) = C2×D4.4D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C432C4.114(C4:D4)128,1797
C4.115(C4⋊D4) = C2×D4.5D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C464C4.115(C4:D4)128,1798
C4.116(C4⋊D4) = C42.96D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.116(C4:D4)128,532
C4.117(C4⋊D4) = C42.97D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.117(C4:D4)128,533
C4.118(C4⋊D4) = C42.98D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.118(C4:D4)128,534
C4.119(C4⋊D4) = C42.99D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4128C4.119(C4:D4)128,535
C4.120(C4⋊D4) = C42.100D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.120(C4:D4)128,536
C4.121(C4⋊D4) = C42.101D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4128C4.121(C4:D4)128,537
C4.122(C4⋊D4) = (C2×C8).103D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4324C4.122(C4:D4)128,545
C4.123(C4⋊D4) = C4○D4.4Q8φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.123(C4:D4)128,547
C4.124(C4⋊D4) = C4○D4.5Q8φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.124(C4:D4)128,548
C4.125(C4⋊D4) = C24.160D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.125(C4:D4)128,604
C4.126(C4⋊D4) = C24.73D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.126(C4:D4)128,605
C4.127(C4⋊D4) = C23.38D8φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.127(C4:D4)128,606
C4.128(C4⋊D4) = C24.74D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.128(C4:D4)128,607
C4.129(C4⋊D4) = M4(2).44D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4324C4.129(C4:D4)128,613
C4.130(C4⋊D4) = C8.C22⋊C4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.130(C4:D4)128,614
C4.131(C4⋊D4) = C8⋊C22⋊C4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.131(C4:D4)128,615
C4.132(C4⋊D4) = (C2×C8)⋊D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4164C4.132(C4:D4)128,623
C4.133(C4⋊D4) = M4(2)⋊20D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.133(C4:D4)128,632
C4.134(C4⋊D4) = M4(2).45D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.134(C4:D4)128,633
C4.135(C4⋊D4) = M4(2).46D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4328-C4.135(C4:D4)128,634
C4.136(C4⋊D4) = M4(2).47D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4168+C4.136(C4:D4)128,635
C4.137(C4⋊D4) = C42.5D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4168+C4.137(C4:D4)128,636
C4.138(C4⋊D4) = C42.6D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4328-C4.138(C4:D4)128,637
C4.139(C4⋊D4) = C42⋊D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4168+C4.139(C4:D4)128,643
C4.140(C4⋊D4) = C42.7D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4328-C4.140(C4:D4)128,644
C4.141(C4⋊D4) = C42⋊2D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4164C4.141(C4:D4)128,742
C4.142(C4⋊D4) = C24.83D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.142(C4:D4)128,765
C4.143(C4⋊D4) = C24.84D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.143(C4:D4)128,766
C4.144(C4⋊D4) = C24.85D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.144(C4:D4)128,767
C4.145(C4⋊D4) = C24.86D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.145(C4:D4)128,768
C4.146(C4⋊D4) = C42⋊11D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.146(C4:D4)128,771
C4.147(C4⋊D4) = C42⋊12D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.147(C4:D4)128,772
C4.148(C4⋊D4) = C42.131D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4164C4.148(C4:D4)128,782
C4.149(C4⋊D4) = M4(2).10D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.149(C4:D4)128,783
C4.150(C4⋊D4) = M4(2).11D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.150(C4:D4)128,784
C4.151(C4⋊D4) = M4(2).12D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.151(C4:D4)128,795
C4.152(C4⋊D4) = M4(2).13D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.152(C4:D4)128,796
C4.153(C4⋊D4) = C4⋊C4.106D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.153(C4:D4)128,797
C4.154(C4⋊D4) = (C2×Q8).8Q8φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4128C4.154(C4:D4)128,798
C4.155(C4⋊D4) = (C2×C4).23D8φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.155(C4:D4)128,799
C4.156(C4⋊D4) = (C2×C8).52D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4128C4.156(C4:D4)128,800
C4.157(C4⋊D4) = C24.Q8φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4168+C4.157(C4:D4)128,801
C4.158(C4⋊D4) = M4(2).15D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4328-C4.158(C4:D4)128,802
C4.159(C4⋊D4) = C42.9D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4324C4.159(C4:D4)128,812
C4.160(C4⋊D4) = (C2×C8).D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4168+C4.160(C4:D4)128,813
C4.161(C4⋊D4) = (C2×C8).6D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4328-C4.161(C4:D4)128,814
C4.162(C4⋊D4) = C24.249C23φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.162(C4:D4)128,1146
C4.163(C4⋊D4) = C23.315C24φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.163(C4:D4)128,1147
C4.164(C4⋊D4) = C24.252C23φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.164(C4:D4)128,1149
C4.165(C4⋊D4) = C42⋊17D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.165(C4:D4)128,1267
C4.166(C4⋊D4) = C42.165D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.166(C4:D4)128,1268
C4.167(C4⋊D4) = C42.166D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.167(C4:D4)128,1270
C4.168(C4⋊D4) = C42.211D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.168(C4:D4)128,1768
C4.169(C4⋊D4) = C42.212D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.169(C4:D4)128,1769
C4.170(C4⋊D4) = C42.18C23φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.170(C4:D4)128,1777
C4.171(C4⋊D4) = C42.19C23φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.171(C4:D4)128,1778
C4.172(C4⋊D4) = M4(2)⋊14D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.172(C4:D4)128,1787
C4.173(C4⋊D4) = M4(2)⋊15D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C432C4.173(C4:D4)128,1788
C4.174(C4⋊D4) = (C2×C8)⋊13D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.174(C4:D4)128,1792
C4.175(C4⋊D4) = (C2×C8)⋊14D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C464C4.175(C4:D4)128,1793
C4.176(C4⋊D4) = M4(2).10C23φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4324C4.176(C4:D4)128,1799
C4.177(C4⋊D4) = M4(2).37D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4168+C4.177(C4:D4)128,1800
C4.178(C4⋊D4) = M4(2).38D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C4328-C4.178(C4:D4)128,1801
C4.179(C4⋊D4) = C42.425D4central extension (φ=1)64C4.179(C4:D4)128,529
C4.180(C4⋊D4) = C42.95D4central extension (φ=1)64C4.180(C4:D4)128,530
C4.181(C4⋊D4) = C42.102D4central extension (φ=1)32C4.181(C4:D4)128,538
C4.182(C4⋊D4) = C24.19Q8central extension (φ=1)32C4.182(C4:D4)128,542
C4.183(C4⋊D4) = C24.9Q8central extension (φ=1)32C4.183(C4:D4)128,543
C4.184(C4⋊D4) = C8○D4⋊C4central extension (φ=1)324C4.184(C4:D4)128,546
C4.185(C4⋊D4) = C23.22M4(2)central extension (φ=1)64C4.185(C4:D4)128,601
C4.186(C4⋊D4) = C23⋊2M4(2)central extension (φ=1)64C4.186(C4:D4)128,602
C4.187(C4⋊D4) = M4(2).43D4central extension (φ=1)32C4.187(C4:D4)128,608
C4.188(C4⋊D4) = (C2×C4)≀C2central extension (φ=1)16C4.188(C4:D4)128,628
C4.189(C4⋊D4) = C42⋊7D4central extension (φ=1)32C4.189(C4:D4)128,629
C4.190(C4⋊D4) = C42.426D4central extension (φ=1)164C4.190(C4:D4)128,638
C4.191(C4⋊D4) = C22⋊C4⋊4C8central extension (φ=1)64C4.191(C4:D4)128,655
C4.192(C4⋊D4) = C23.9M4(2)central extension (φ=1)64C4.192(C4:D4)128,656
C4.193(C4⋊D4) = M4(2).24D4central extension (φ=1)32C4.193(C4:D4)128,661
C4.194(C4⋊D4) = C42.427D4central extension (φ=1)164C4.194(C4:D4)128,664
C4.195(C4⋊D4) = C42.428D4central extension (φ=1)32C4.195(C4:D4)128,669
C4.196(C4⋊D4) = C42.107D4central extension (φ=1)32C4.196(C4:D4)128,670
C4.197(C4⋊D4) = C42.61Q8central extension (φ=1)128C4.197(C4:D4)128,671
C4.198(C4⋊D4) = C42.27Q8central extension (φ=1)128C4.198(C4:D4)128,672
C4.199(C4⋊D4) = C42.62Q8central extension (φ=1)32C4.199(C4:D4)128,677
C4.200(C4⋊D4) = C42.28Q8central extension (φ=1)32C4.200(C4:D4)128,678
C4.201(C4⋊D4) = C42.430D4central extension (φ=1)64C4.201(C4:D4)128,682
C4.202(C4⋊D4) = M4(2).27D4central extension (φ=1)324C4.202(C4:D4)128,685
C4.203(C4⋊D4) = C42.325D4central extension (φ=1)64C4.203(C4:D4)128,686
C4.204(C4⋊D4) = C42.109D4central extension (φ=1)64C4.204(C4:D4)128,687
C4.205(C4⋊D4) = C42.326D4central extension (φ=1)32C4.205(C4:D4)128,706
C4.206(C4⋊D4) = C42.116D4central extension (φ=1)32C4.206(C4:D4)128,707
C4.207(C4⋊D4) = M4(2).30D4central extension (φ=1)324C4.207(C4:D4)128,708
C4.208(C4⋊D4) = M4(2)⋊13D4central extension (φ=1)32C4.208(C4:D4)128,712
C4.209(C4⋊D4) = C42⋊15D4central extension (φ=1)64C4.209(C4:D4)128,1124
C4.210(C4⋊D4) = C42.443D4central extension (φ=1)64C4.210(C4:D4)128,1767
C4.211(C4⋊D4) = C24.144D4central extension (φ=1)32C4.211(C4:D4)128,1782
C4.212(C4⋊D4) = C24.110D4central extension (φ=1)32C4.212(C4:D4)128,1786

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