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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4⋊D4

Direct product G=N×Q with N=C2 and Q=C2×C4⋊D4
dρLabelID
C22×C4⋊D464C2^2xC4:D4128,2164


Non-split extensions G=N.Q with N=C2 and Q=C2×C4⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4⋊D4) = C2×C23.7Q8central extension (φ=1)64C2.1(C2xC4:D4)128,1010
C2.2(C2×C4⋊D4) = C2×C23.23D4central extension (φ=1)64C2.2(C2xC4:D4)128,1019
C2.3(C2×C4⋊D4) = C2×C24.C22central extension (φ=1)64C2.3(C2xC4:D4)128,1021
C2.4(C2×C4⋊D4) = C2×C23.65C23central extension (φ=1)128C2.4(C2xC4:D4)128,1023
C2.5(C2×C4⋊D4) = C2×C24.3C22central extension (φ=1)64C2.5(C2xC4:D4)128,1024
C2.6(C2×C4⋊D4) = C4×C4⋊D4central extension (φ=1)64C2.6(C2xC4:D4)128,1032
C2.7(C2×C4⋊D4) = C2×C23⋊2D4central stem extension (φ=1)64C2.7(C2xC4:D4)128,1116
C2.8(C2×C4⋊D4) = C2×C23.10D4central stem extension (φ=1)64C2.8(C2xC4:D4)128,1118
C2.9(C2×C4⋊D4) = C2×C23.Q8central stem extension (φ=1)64C2.9(C2xC4:D4)128,1121
C2.10(C2×C4⋊D4) = C2×C23.11D4central stem extension (φ=1)64C2.10(C2xC4:D4)128,1122
C2.11(C2×C4⋊D4) = C2×C23.81C23central stem extension (φ=1)128C2.11(C2xC4:D4)128,1123
C2.12(C2×C4⋊D4) = C42⋊15D4central stem extension (φ=1)64C2.12(C2xC4:D4)128,1124
C2.13(C2×C4⋊D4) = C23.308C24central stem extension (φ=1)32C2.13(C2xC4:D4)128,1140
C2.14(C2×C4⋊D4) = C24⋊8D4central stem extension (φ=1)32C2.14(C2xC4:D4)128,1142
C2.15(C2×C4⋊D4) = C23.311C24central stem extension (φ=1)32C2.15(C2xC4:D4)128,1143
C2.16(C2×C4⋊D4) = C24.95D4central stem extension (φ=1)32C2.16(C2xC4:D4)128,1144
C2.17(C2×C4⋊D4) = C23.313C24central stem extension (φ=1)64C2.17(C2xC4:D4)128,1145
C2.18(C2×C4⋊D4) = C24.249C23central stem extension (φ=1)64C2.18(C2xC4:D4)128,1146
C2.19(C2×C4⋊D4) = C23.315C24central stem extension (φ=1)64C2.19(C2xC4:D4)128,1147
C2.20(C2×C4⋊D4) = C23.316C24central stem extension (φ=1)64C2.20(C2xC4:D4)128,1148
C2.21(C2×C4⋊D4) = C24.252C23central stem extension (φ=1)64C2.21(C2xC4:D4)128,1149
C2.22(C2×C4⋊D4) = C23.324C24central stem extension (φ=1)32C2.22(C2xC4:D4)128,1156
C2.23(C2×C4⋊D4) = C24.258C23central stem extension (φ=1)64C2.23(C2xC4:D4)128,1157
C2.24(C2×C4⋊D4) = C24.259C23central stem extension (φ=1)64C2.24(C2xC4:D4)128,1158
C2.25(C2×C4⋊D4) = C23.327C24central stem extension (φ=1)64C2.25(C2xC4:D4)128,1159
C2.26(C2×C4⋊D4) = C23.328C24central stem extension (φ=1)64C2.26(C2xC4:D4)128,1160
C2.27(C2×C4⋊D4) = C23.329C24central stem extension (φ=1)64C2.27(C2xC4:D4)128,1161
C2.28(C2×C4⋊D4) = C24.299C23central stem extension (φ=1)64C2.28(C2xC4:D4)128,1218
C2.29(C2×C4⋊D4) = C23.434C24central stem extension (φ=1)32C2.29(C2xC4:D4)128,1266
C2.30(C2×C4⋊D4) = C42⋊17D4central stem extension (φ=1)64C2.30(C2xC4:D4)128,1267
C2.31(C2×C4⋊D4) = C42.165D4central stem extension (φ=1)64C2.31(C2xC4:D4)128,1268
C2.32(C2×C4⋊D4) = C42⋊18D4central stem extension (φ=1)64C2.32(C2xC4:D4)128,1269
C2.33(C2×C4⋊D4) = C42.166D4central stem extension (φ=1)64C2.33(C2xC4:D4)128,1270
C2.34(C2×C4⋊D4) = C42⋊20D4central stem extension (φ=1)64C2.34(C2xC4:D4)128,1273
C2.35(C2×C4⋊D4) = C23.443C24central stem extension (φ=1)64C2.35(C2xC4:D4)128,1275
C2.36(C2×C4⋊D4) = C42⋊21D4central stem extension (φ=1)64C2.36(C2xC4:D4)128,1276
C2.37(C2×C4⋊D4) = C42.168D4central stem extension (φ=1)64C2.37(C2xC4:D4)128,1277
C2.38(C2×C4⋊D4) = C42.169D4central stem extension (φ=1)128C2.38(C2xC4:D4)128,1278
C2.39(C2×C4⋊D4) = C42.170D4central stem extension (φ=1)64C2.39(C2xC4:D4)128,1279
C2.40(C2×C4⋊D4) = C42.171D4central stem extension (φ=1)64C2.40(C2xC4:D4)128,1280
C2.41(C2×C4⋊D4) = C24⋊10D4central stem extension (φ=1)32C2.41(C2xC4:D4)128,1349
C2.42(C2×C4⋊D4) = C24.587C23central stem extension (φ=1)64C2.42(C2xC4:D4)128,1350
C2.43(C2×C4⋊D4) = C42⋊27D4central stem extension (φ=1)64C2.43(C2xC4:D4)128,1351
C2.44(C2×C4⋊D4) = C42⋊28D4central stem extension (φ=1)64C2.44(C2xC4:D4)128,1352
C2.45(C2×C4⋊D4) = C42.186D4central stem extension (φ=1)64C2.45(C2xC4:D4)128,1353
C2.46(C2×C4⋊D4) = C24⋊13D4central stem extension (φ=1)32C2.46(C2xC4:D4)128,1579
C2.47(C2×C4⋊D4) = C42⋊46D4central stem extension (φ=1)64C2.47(C2xC4:D4)128,1582
C2.48(C2×C4⋊D4) = C24.598C23central stem extension (φ=1)64C2.48(C2xC4:D4)128,1586
C2.49(C2×C4⋊D4) = C42⋊47D4central stem extension (φ=1)64C2.49(C2xC4:D4)128,1588
C2.50(C2×C4⋊D4) = C42.440D4central stem extension (φ=1)64C2.50(C2xC4:D4)128,1589
C2.51(C2×C4⋊D4) = C2×C4⋊D8central stem extension (φ=1)64C2.51(C2xC4:D4)128,1761
C2.52(C2×C4⋊D4) = C2×D4.D4central stem extension (φ=1)64C2.52(C2xC4:D4)128,1762
C2.53(C2×C4⋊D4) = C2×D4.2D4central stem extension (φ=1)64C2.53(C2xC4:D4)128,1763
C2.54(C2×C4⋊D4) = C2×C4⋊SD16central stem extension (φ=1)64C2.54(C2xC4:D4)128,1764
C2.55(C2×C4⋊D4) = C2×C4⋊2Q16central stem extension (φ=1)128C2.55(C2xC4:D4)128,1765
C2.56(C2×C4⋊D4) = C2×Q8.D4central stem extension (φ=1)64C2.56(C2xC4:D4)128,1766
C2.57(C2×C4⋊D4) = C42.443D4central stem extension (φ=1)64C2.57(C2xC4:D4)128,1767
C2.58(C2×C4⋊D4) = C42.211D4central stem extension (φ=1)32C2.58(C2xC4:D4)128,1768
C2.59(C2×C4⋊D4) = C42.212D4central stem extension (φ=1)64C2.59(C2xC4:D4)128,1769
C2.60(C2×C4⋊D4) = C42.444D4central stem extension (φ=1)32C2.60(C2xC4:D4)128,1770
C2.61(C2×C4⋊D4) = C42.445D4central stem extension (φ=1)64C2.61(C2xC4:D4)128,1771
C2.62(C2×C4⋊D4) = C42.446D4central stem extension (φ=1)32C2.62(C2xC4:D4)128,1772
C2.63(C2×C4⋊D4) = C42.14C23central stem extension (φ=1)32C2.63(C2xC4:D4)128,1773
C2.64(C2×C4⋊D4) = C42.15C23central stem extension (φ=1)32C2.64(C2xC4:D4)128,1774
C2.65(C2×C4⋊D4) = C42.16C23central stem extension (φ=1)32C2.65(C2xC4:D4)128,1775
C2.66(C2×C4⋊D4) = C42.17C23central stem extension (φ=1)64C2.66(C2xC4:D4)128,1776
C2.67(C2×C4⋊D4) = C42.18C23central stem extension (φ=1)32C2.67(C2xC4:D4)128,1777
C2.68(C2×C4⋊D4) = C42.19C23central stem extension (φ=1)64C2.68(C2xC4:D4)128,1778
C2.69(C2×C4⋊D4) = C2×C8⋊8D4central stem extension (φ=1)64C2.69(C2xC4:D4)128,1779
C2.70(C2×C4⋊D4) = C2×C8⋊7D4central stem extension (φ=1)64C2.70(C2xC4:D4)128,1780
C2.71(C2×C4⋊D4) = C2×C8.18D4central stem extension (φ=1)64C2.71(C2xC4:D4)128,1781
C2.72(C2×C4⋊D4) = C24.144D4central stem extension (φ=1)32C2.72(C2xC4:D4)128,1782
C2.73(C2×C4⋊D4) = C2×C8⋊D4central stem extension (φ=1)64C2.73(C2xC4:D4)128,1783
C2.74(C2×C4⋊D4) = C2×C8⋊2D4central stem extension (φ=1)64C2.74(C2xC4:D4)128,1784
C2.75(C2×C4⋊D4) = C2×C8.D4central stem extension (φ=1)64C2.75(C2xC4:D4)128,1785
C2.76(C2×C4⋊D4) = C24.110D4central stem extension (φ=1)32C2.76(C2xC4:D4)128,1786
C2.77(C2×C4⋊D4) = M4(2)⋊14D4central stem extension (φ=1)32C2.77(C2xC4:D4)128,1787
C2.78(C2×C4⋊D4) = M4(2)⋊15D4central stem extension (φ=1)32C2.78(C2xC4:D4)128,1788
C2.79(C2×C4⋊D4) = (C2×C8)⋊11D4central stem extension (φ=1)32C2.79(C2xC4:D4)128,1789
C2.80(C2×C4⋊D4) = (C2×C8)⋊12D4central stem extension (φ=1)32C2.80(C2xC4:D4)128,1790
C2.81(C2×C4⋊D4) = C8.D4⋊C2central stem extension (φ=1)64C2.81(C2xC4:D4)128,1791
C2.82(C2×C4⋊D4) = (C2×C8)⋊13D4central stem extension (φ=1)64C2.82(C2xC4:D4)128,1792
C2.83(C2×C4⋊D4) = (C2×C8)⋊14D4central stem extension (φ=1)64C2.83(C2xC4:D4)128,1793
C2.84(C2×C4⋊D4) = M4(2)⋊16D4central stem extension (φ=1)32C2.84(C2xC4:D4)128,1794
C2.85(C2×C4⋊D4) = M4(2)⋊17D4central stem extension (φ=1)64C2.85(C2xC4:D4)128,1795
C2.86(C2×C4⋊D4) = C2×D4.3D4central stem extension (φ=1)32C2.86(C2xC4:D4)128,1796
C2.87(C2×C4⋊D4) = C2×D4.4D4central stem extension (φ=1)32C2.87(C2xC4:D4)128,1797
C2.88(C2×C4⋊D4) = C2×D4.5D4central stem extension (φ=1)64C2.88(C2xC4:D4)128,1798
C2.89(C2×C4⋊D4) = M4(2).10C23central stem extension (φ=1)324C2.89(C2xC4:D4)128,1799
C2.90(C2×C4⋊D4) = M4(2).37D4central stem extension (φ=1)168+C2.90(C2xC4:D4)128,1800
C2.91(C2×C4⋊D4) = M4(2).38D4central stem extension (φ=1)328-C2.91(C2xC4:D4)128,1801

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