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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×2+ 1+4

Direct product G=N×Q with N=C2 and Q=C2×2+ 1+4
dρLabelID
C22×2+ 1+432C2^2xES+(2,2)128,2323


Non-split extensions G=N.Q with N=C2 and Q=C2×2+ 1+4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×2+ 1+4) = C2×C22.11C24central extension (φ=1)32C2.1(C2xES+(2,2))128,2157
C2.2(C2×2+ 1+4) = C2×C23.33C23central extension (φ=1)64C2.2(C2xES+(2,2))128,2159
C2.3(C2×2+ 1+4) = C4×2+ 1+4central extension (φ=1)32C2.3(C2xES+(2,2))128,2161
C2.4(C2×2+ 1+4) = C2×C23⋊3D4central stem extension (φ=1)32C2.4(C2xES+(2,2))128,2177
C2.5(C2×2+ 1+4) = C2×C22.29C24central stem extension (φ=1)32C2.5(C2xES+(2,2))128,2178
C2.6(C2×2+ 1+4) = C2×C22.31C24central stem extension (φ=1)64C2.6(C2xES+(2,2))128,2180
C2.7(C2×2+ 1+4) = C2×C22.32C24central stem extension (φ=1)32C2.7(C2xES+(2,2))128,2182
C2.8(C2×2+ 1+4) = C2×C22.33C24central stem extension (φ=1)64C2.8(C2xES+(2,2))128,2183
C2.9(C2×2+ 1+4) = C2×C22.34C24central stem extension (φ=1)64C2.9(C2xES+(2,2))128,2184
C2.10(C2×2+ 1+4) = C2×C22.36C24central stem extension (φ=1)64C2.10(C2xES+(2,2))128,2186
C2.11(C2×2+ 1+4) = C2×C23⋊2Q8central stem extension (φ=1)32C2.11(C2xES+(2,2))128,2188
C2.12(C2×2+ 1+4) = C2×C23.41C23central stem extension (φ=1)64C2.12(C2xES+(2,2))128,2189
C2.13(C2×2+ 1+4) = C22.48C25central stem extension (φ=1)32C2.13(C2xES+(2,2))128,2191
C2.14(C2×2+ 1+4) = C22.49C25central stem extension (φ=1)32C2.14(C2xES+(2,2))128,2192
C2.15(C2×2+ 1+4) = C2×D42central stem extension (φ=1)32C2.15(C2xES+(2,2))128,2194
C2.16(C2×2+ 1+4) = C2×D4⋊5D4central stem extension (φ=1)32C2.16(C2xES+(2,2))128,2195
C2.17(C2×2+ 1+4) = C2×Q8⋊6D4central stem extension (φ=1)64C2.17(C2xES+(2,2))128,2199
C2.18(C2×2+ 1+4) = C2×C22.45C24central stem extension (φ=1)32C2.18(C2xES+(2,2))128,2201
C2.19(C2×2+ 1+4) = C2×C22.47C24central stem extension (φ=1)64C2.19(C2xES+(2,2))128,2203
C2.20(C2×2+ 1+4) = C2×D4⋊3Q8central stem extension (φ=1)64C2.20(C2xES+(2,2))128,2204
C2.21(C2×2+ 1+4) = C2×C22.49C24central stem extension (φ=1)64C2.21(C2xES+(2,2))128,2205
C2.22(C2×2+ 1+4) = C2×Q82central stem extension (φ=1)128C2.22(C2xES+(2,2))128,2209
C2.23(C2×2+ 1+4) = C2×C22.53C24central stem extension (φ=1)64C2.23(C2xES+(2,2))128,2211
C2.24(C2×2+ 1+4) = C22.70C25central stem extension (φ=1)32C2.24(C2xES+(2,2))128,2213
C2.25(C2×2+ 1+4) = C22.72C25central stem extension (φ=1)64C2.25(C2xES+(2,2))128,2215
C2.26(C2×2+ 1+4) = C22.73C25central stem extension (φ=1)16C2.26(C2xES+(2,2))128,2216
C2.27(C2×2+ 1+4) = C22.77C25central stem extension (φ=1)32C2.27(C2xES+(2,2))128,2220
C2.28(C2×2+ 1+4) = C22.79C25central stem extension (φ=1)16C2.28(C2xES+(2,2))128,2222
C2.29(C2×2+ 1+4) = C22.81C25central stem extension (φ=1)32C2.29(C2xES+(2,2))128,2224
C2.30(C2×2+ 1+4) = C22.83C25central stem extension (φ=1)32C2.30(C2xES+(2,2))128,2226
C2.31(C2×2+ 1+4) = C4⋊2+ 1+4central stem extension (φ=1)32C2.31(C2xES+(2,2))128,2228
C2.32(C2×2+ 1+4) = C22.87C25central stem extension (φ=1)32C2.32(C2xES+(2,2))128,2230
C2.33(C2×2+ 1+4) = C22.90C25central stem extension (φ=1)32C2.33(C2xES+(2,2))128,2233
C2.34(C2×2+ 1+4) = C22.92C25central stem extension (φ=1)64C2.34(C2xES+(2,2))128,2235
C2.35(C2×2+ 1+4) = C22.94C25central stem extension (φ=1)32C2.35(C2xES+(2,2))128,2237
C2.36(C2×2+ 1+4) = C22.95C25central stem extension (φ=1)32C2.36(C2xES+(2,2))128,2238
C2.37(C2×2+ 1+4) = C22.97C25central stem extension (φ=1)32C2.37(C2xES+(2,2))128,2240
C2.38(C2×2+ 1+4) = C22.100C25central stem extension (φ=1)64C2.38(C2xES+(2,2))128,2243
C2.39(C2×2+ 1+4) = C22.102C25central stem extension (φ=1)32C2.39(C2xES+(2,2))128,2245
C2.40(C2×2+ 1+4) = C22.103C25central stem extension (φ=1)32C2.40(C2xES+(2,2))128,2246
C2.41(C2×2+ 1+4) = C22.106C25central stem extension (φ=1)64C2.41(C2xES+(2,2))128,2249
C2.42(C2×2+ 1+4) = C22.108C25central stem extension (φ=1)32C2.42(C2xES+(2,2))128,2251
C2.43(C2×2+ 1+4) = C23.144C24central stem extension (φ=1)32C2.43(C2xES+(2,2))128,2252
C2.44(C2×2+ 1+4) = C22.111C25central stem extension (φ=1)64C2.44(C2xES+(2,2))128,2254
C2.45(C2×2+ 1+4) = C2×C22.54C24central stem extension (φ=1)32C2.45(C2xES+(2,2))128,2257
C2.46(C2×2+ 1+4) = C2×C24⋊C22central stem extension (φ=1)32C2.46(C2xES+(2,2))128,2258
C2.47(C2×2+ 1+4) = C2×C22.56C24central stem extension (φ=1)64C2.47(C2xES+(2,2))128,2259
C2.48(C2×2+ 1+4) = C2×C22.57C24central stem extension (φ=1)64C2.48(C2xES+(2,2))128,2260
C2.49(C2×2+ 1+4) = C22.118C25central stem extension (φ=1)32C2.49(C2xES+(2,2))128,2261
C2.50(C2×2+ 1+4) = C42⋊C23central stem extension (φ=1)16C2.50(C2xES+(2,2))128,2264
C2.51(C2×2+ 1+4) = C22.122C25central stem extension (φ=1)32C2.51(C2xES+(2,2))128,2265
C2.52(C2×2+ 1+4) = C22.123C25central stem extension (φ=1)32C2.52(C2xES+(2,2))128,2266
C2.53(C2×2+ 1+4) = C22.124C25central stem extension (φ=1)32C2.53(C2xES+(2,2))128,2267
C2.54(C2×2+ 1+4) = C22.125C25central stem extension (φ=1)32C2.54(C2xES+(2,2))128,2268
C2.55(C2×2+ 1+4) = C22.126C25central stem extension (φ=1)32C2.55(C2xES+(2,2))128,2269
C2.56(C2×2+ 1+4) = C22.127C25central stem extension (φ=1)32C2.56(C2xES+(2,2))128,2270
C2.57(C2×2+ 1+4) = C22.128C25central stem extension (φ=1)32C2.57(C2xES+(2,2))128,2271
C2.58(C2×2+ 1+4) = C22.129C25central stem extension (φ=1)32C2.58(C2xES+(2,2))128,2272
C2.59(C2×2+ 1+4) = C22.130C25central stem extension (φ=1)32C2.59(C2xES+(2,2))128,2273
C2.60(C2×2+ 1+4) = C22.131C25central stem extension (φ=1)32C2.60(C2xES+(2,2))128,2274
C2.61(C2×2+ 1+4) = C22.132C25central stem extension (φ=1)32C2.61(C2xES+(2,2))128,2275
C2.62(C2×2+ 1+4) = C22.133C25central stem extension (φ=1)64C2.62(C2xES+(2,2))128,2276
C2.63(C2×2+ 1+4) = C22.134C25central stem extension (φ=1)32C2.63(C2xES+(2,2))128,2277
C2.64(C2×2+ 1+4) = C22.135C25central stem extension (φ=1)32C2.64(C2xES+(2,2))128,2278
C2.65(C2×2+ 1+4) = C22.136C25central stem extension (φ=1)64C2.65(C2xES+(2,2))128,2279
C2.66(C2×2+ 1+4) = C22.137C25central stem extension (φ=1)64C2.66(C2xES+(2,2))128,2280
C2.67(C2×2+ 1+4) = C22.138C25central stem extension (φ=1)32C2.67(C2xES+(2,2))128,2281
C2.68(C2×2+ 1+4) = C22.139C25central stem extension (φ=1)64C2.68(C2xES+(2,2))128,2282
C2.69(C2×2+ 1+4) = C22.140C25central stem extension (φ=1)32C2.69(C2xES+(2,2))128,2283
C2.70(C2×2+ 1+4) = C22.141C25central stem extension (φ=1)64C2.70(C2xES+(2,2))128,2284
C2.71(C2×2+ 1+4) = C22.143C25central stem extension (φ=1)64C2.71(C2xES+(2,2))128,2286
C2.72(C2×2+ 1+4) = C22.147C25central stem extension (φ=1)32C2.72(C2xES+(2,2))128,2290
C2.73(C2×2+ 1+4) = C22.148C25central stem extension (φ=1)64C2.73(C2xES+(2,2))128,2291
C2.74(C2×2+ 1+4) = C22.149C25central stem extension (φ=1)32C2.74(C2xES+(2,2))128,2292
C2.75(C2×2+ 1+4) = C22.150C25central stem extension (φ=1)32C2.75(C2xES+(2,2))128,2293
C2.76(C2×2+ 1+4) = C22.151C25central stem extension (φ=1)32C2.76(C2xES+(2,2))128,2294

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