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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C22⋊Q8

Direct product G=N×Q with N=C2 and Q=C2×C22⋊Q8
dρLabelID
C22×C22⋊Q864C2^2xC2^2:Q8128,2165


Non-split extensions G=N.Q with N=C2 and Q=C2×C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C22⋊Q8) = C2×C23.7Q8central extension (φ=1)64C2.1(C2xC2^2:Q8)128,1010
C2.2(C2×C22⋊Q8) = C2×C23.8Q8central extension (φ=1)64C2.2(C2xC2^2:Q8)128,1018
C2.3(C2×C22⋊Q8) = C2×C23.63C23central extension (φ=1)128C2.3(C2xC2^2:Q8)128,1020
C2.4(C2×C22⋊Q8) = C2×C23.65C23central extension (φ=1)128C2.4(C2xC2^2:Q8)128,1023
C2.5(C2×C22⋊Q8) = C2×C23.67C23central extension (φ=1)128C2.5(C2xC2^2:Q8)128,1026
C2.6(C2×C22⋊Q8) = C4×C22⋊Q8central extension (φ=1)64C2.6(C2xC2^2:Q8)128,1034
C2.7(C2×C22⋊Q8) = C2×C23⋊Q8central stem extension (φ=1)64C2.7(C2xC2^2:Q8)128,1117
C2.8(C2×C22⋊Q8) = C2×C23.78C23central stem extension (φ=1)128C2.8(C2xC2^2:Q8)128,1119
C2.9(C2×C22⋊Q8) = C2×C23.Q8central stem extension (φ=1)64C2.9(C2xC2^2:Q8)128,1121
C2.10(C2×C22⋊Q8) = C2×C23.81C23central stem extension (φ=1)128C2.10(C2xC2^2:Q8)128,1123
C2.11(C2×C22⋊Q8) = C2×C23.4Q8central stem extension (φ=1)64C2.11(C2xC2^2:Q8)128,1125
C2.12(C2×C22⋊Q8) = C2×C23.83C23central stem extension (φ=1)128C2.12(C2xC2^2:Q8)128,1126
C2.13(C2×C22⋊Q8) = C42.162D4central stem extension (φ=1)64C2.13(C2xC2^2:Q8)128,1128
C2.14(C2×C22⋊Q8) = C23.309C24central stem extension (φ=1)64C2.14(C2xC2^2:Q8)128,1141
C2.15(C2×C22⋊Q8) = C24.252C23central stem extension (φ=1)64C2.15(C2xC2^2:Q8)128,1149
C2.16(C2×C22⋊Q8) = C24⋊4Q8central stem extension (φ=1)32C2.16(C2xC2^2:Q8)128,1169
C2.17(C2×C22⋊Q8) = C24.567C23central stem extension (φ=1)64C2.17(C2xC2^2:Q8)128,1170
C2.18(C2×C22⋊Q8) = C24.267C23central stem extension (φ=1)64C2.18(C2xC2^2:Q8)128,1171
C2.19(C2×C22⋊Q8) = C24.568C23central stem extension (φ=1)64C2.19(C2xC2^2:Q8)128,1172
C2.20(C2×C22⋊Q8) = C24.268C23central stem extension (φ=1)64C2.20(C2xC2^2:Q8)128,1173
C2.21(C2×C22⋊Q8) = C24.569C23central stem extension (φ=1)64C2.21(C2xC2^2:Q8)128,1174
C2.22(C2×C22⋊Q8) = C23.349C24central stem extension (φ=1)64C2.22(C2xC2^2:Q8)128,1181
C2.23(C2×C22⋊Q8) = C23.350C24central stem extension (φ=1)64C2.23(C2xC2^2:Q8)128,1182
C2.24(C2×C22⋊Q8) = C23.351C24central stem extension (φ=1)128C2.24(C2xC2^2:Q8)128,1183
C2.25(C2×C22⋊Q8) = C23.352C24central stem extension (φ=1)64C2.25(C2xC2^2:Q8)128,1184
C2.26(C2×C22⋊Q8) = C23.353C24central stem extension (φ=1)128C2.26(C2xC2^2:Q8)128,1185
C2.27(C2×C22⋊Q8) = C23.354C24central stem extension (φ=1)64C2.27(C2xC2^2:Q8)128,1186
C2.28(C2×C22⋊Q8) = C24.300C23central stem extension (φ=1)64C2.28(C2xC2^2:Q8)128,1219
C2.29(C2×C22⋊Q8) = C42.166D4central stem extension (φ=1)64C2.29(C2xC2^2:Q8)128,1270
C2.30(C2×C22⋊Q8) = C42.167D4central stem extension (φ=1)64C2.30(C2xC2^2:Q8)128,1274
C2.31(C2×C22⋊Q8) = C42.173D4central stem extension (φ=1)64C2.31(C2xC2^2:Q8)128,1295
C2.32(C2×C22⋊Q8) = C24.583C23central stem extension (φ=1)64C2.32(C2xC2^2:Q8)128,1296
C2.33(C2×C22⋊Q8) = C42.174D4central stem extension (φ=1)128C2.33(C2xC2^2:Q8)128,1297
C2.34(C2×C22⋊Q8) = C42.175D4central stem extension (φ=1)64C2.34(C2xC2^2:Q8)128,1298
C2.35(C2×C22⋊Q8) = C42.176D4central stem extension (φ=1)128C2.35(C2xC2^2:Q8)128,1299
C2.36(C2×C22⋊Q8) = C42.177D4central stem extension (φ=1)128C2.36(C2xC2^2:Q8)128,1300
C2.37(C2×C22⋊Q8) = C23.479C24central stem extension (φ=1)64C2.37(C2xC2^2:Q8)128,1311
C2.38(C2×C22⋊Q8) = C42.178D4central stem extension (φ=1)64C2.38(C2xC2^2:Q8)128,1312
C2.39(C2×C22⋊Q8) = C42.179D4central stem extension (φ=1)128C2.39(C2xC2^2:Q8)128,1313
C2.40(C2×C22⋊Q8) = C42.180D4central stem extension (φ=1)128C2.40(C2xC2^2:Q8)128,1314
C2.41(C2×C22⋊Q8) = C24⋊5Q8central stem extension (φ=1)32C2.41(C2xC2^2:Q8)128,1358
C2.42(C2×C22⋊Q8) = C23.527C24central stem extension (φ=1)64C2.42(C2xC2^2:Q8)128,1359
C2.43(C2×C22⋊Q8) = C42.187D4central stem extension (φ=1)64C2.43(C2xC2^2:Q8)128,1360
C2.44(C2×C22⋊Q8) = C42.188D4central stem extension (φ=1)64C2.44(C2xC2^2:Q8)128,1361
C2.45(C2×C22⋊Q8) = C24⋊8Q8central stem extension (φ=1)32C2.45(C2xC2^2:Q8)128,1580
C2.46(C2×C22⋊Q8) = C42.439D4central stem extension (φ=1)64C2.46(C2xC2^2:Q8)128,1583
C2.47(C2×C22⋊Q8) = C24.599C23central stem extension (φ=1)64C2.47(C2xC2^2:Q8)128,1587
C2.48(C2×C22⋊Q8) = C42.440D4central stem extension (φ=1)64C2.48(C2xC2^2:Q8)128,1589
C2.49(C2×C22⋊Q8) = C2×D4⋊Q8central stem extension (φ=1)64C2.49(C2xC2^2:Q8)128,1802
C2.50(C2×C22⋊Q8) = C2×D4⋊2Q8central stem extension (φ=1)64C2.50(C2xC2^2:Q8)128,1803
C2.51(C2×C22⋊Q8) = C2×D4.Q8central stem extension (φ=1)64C2.51(C2xC2^2:Q8)128,1804
C2.52(C2×C22⋊Q8) = C2×Q8⋊Q8central stem extension (φ=1)128C2.52(C2xC2^2:Q8)128,1805
C2.53(C2×C22⋊Q8) = C2×C4.Q16central stem extension (φ=1)128C2.53(C2xC2^2:Q8)128,1806
C2.54(C2×C22⋊Q8) = C2×Q8.Q8central stem extension (φ=1)128C2.54(C2xC2^2:Q8)128,1807
C2.55(C2×C22⋊Q8) = C42.447D4central stem extension (φ=1)64C2.55(C2xC2^2:Q8)128,1808
C2.56(C2×C22⋊Q8) = C42.219D4central stem extension (φ=1)32C2.56(C2xC2^2:Q8)128,1809
C2.57(C2×C22⋊Q8) = C42.220D4central stem extension (φ=1)64C2.57(C2xC2^2:Q8)128,1810
C2.58(C2×C22⋊Q8) = C42.448D4central stem extension (φ=1)64C2.58(C2xC2^2:Q8)128,1811
C2.59(C2×C22⋊Q8) = C42.449D4central stem extension (φ=1)64C2.59(C2xC2^2:Q8)128,1812
C2.60(C2×C22⋊Q8) = C42.20C23central stem extension (φ=1)32C2.60(C2xC2^2:Q8)128,1813
C2.61(C2×C22⋊Q8) = C42.21C23central stem extension (φ=1)64C2.61(C2xC2^2:Q8)128,1814
C2.62(C2×C22⋊Q8) = C42.22C23central stem extension (φ=1)64C2.62(C2xC2^2:Q8)128,1815
C2.63(C2×C22⋊Q8) = C42.23C23central stem extension (φ=1)64C2.63(C2xC2^2:Q8)128,1816

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