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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+464C2^2xES-(2,2)128,2324


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×C23.32C23central extension (φ=1)64C2.1(C2xES-(2,2))128,2158
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)64C2.3(C2xES-(2,2))128,2162
C2.4(C2×2- 1+4) = C2×C23.38C23central stem extension (φ=1)64C2.4(C2xES-(2,2))128,2179
C2.5(C2×2- 1+4) = C2×C22.31C24central stem extension (φ=1)64C2.5(C2xES-(2,2))128,2180
C2.6(C2×2- 1+4) = C2×C22.33C24central stem extension (φ=1)64C2.6(C2xES-(2,2))128,2183
C2.7(C2×2- 1+4) = C2×C22.35C24central stem extension (φ=1)64C2.7(C2xES-(2,2))128,2185
C2.8(C2×2- 1+4) = C2×C22.36C24central stem extension (φ=1)64C2.8(C2xES-(2,2))128,2186
C2.9(C2×2- 1+4) = C2×C23.41C23central stem extension (φ=1)64C2.9(C2xES-(2,2))128,2189
C2.10(C2×2- 1+4) = C22.50C25central stem extension (φ=1)64C2.10(C2xES-(2,2))128,2193
C2.11(C2×2- 1+4) = C2×D4⋊6D4central stem extension (φ=1)64C2.11(C2xES-(2,2))128,2196
C2.12(C2×2- 1+4) = C2×Q8⋊5D4central stem extension (φ=1)64C2.12(C2xES-(2,2))128,2197
C2.13(C2×2- 1+4) = C2×D4×Q8central stem extension (φ=1)64C2.13(C2xES-(2,2))128,2198
C2.14(C2×2- 1+4) = C2×C22.46C24central stem extension (φ=1)64C2.14(C2xES-(2,2))128,2202
C2.15(C2×2- 1+4) = C2×C22.50C24central stem extension (φ=1)64C2.15(C2xES-(2,2))128,2206
C2.16(C2×2- 1+4) = C2×Q8⋊3Q8central stem extension (φ=1)128C2.16(C2xES-(2,2))128,2208
C2.17(C2×2- 1+4) = C22.71C25central stem extension (φ=1)64C2.17(C2xES-(2,2))128,2214
C2.18(C2×2- 1+4) = C22.75C25central stem extension (φ=1)32C2.18(C2xES-(2,2))128,2218
C2.19(C2×2- 1+4) = C22.78C25central stem extension (φ=1)32C2.19(C2xES-(2,2))128,2221
C2.20(C2×2- 1+4) = C22.81C25central stem extension (φ=1)32C2.20(C2xES-(2,2))128,2224
C2.21(C2×2- 1+4) = C22.84C25central stem extension (φ=1)32C2.21(C2xES-(2,2))128,2227
C2.22(C2×2- 1+4) = C4⋊2- 1+4central stem extension (φ=1)64C2.22(C2xES-(2,2))128,2229
C2.23(C2×2- 1+4) = C22.88C25central stem extension (φ=1)64C2.23(C2xES-(2,2))128,2231
C2.24(C2×2- 1+4) = C22.91C25central stem extension (φ=1)64C2.24(C2xES-(2,2))128,2234
C2.25(C2×2- 1+4) = C22.92C25central stem extension (φ=1)64C2.25(C2xES-(2,2))128,2235
C2.26(C2×2- 1+4) = C22.96C25central stem extension (φ=1)64C2.26(C2xES-(2,2))128,2239
C2.27(C2×2- 1+4) = C22.98C25central stem extension (φ=1)64C2.27(C2xES-(2,2))128,2241
C2.28(C2×2- 1+4) = C22.100C25central stem extension (φ=1)64C2.28(C2xES-(2,2))128,2243
C2.29(C2×2- 1+4) = C22.104C25central stem extension (φ=1)64C2.29(C2xES-(2,2))128,2247
C2.30(C2×2- 1+4) = C22.105C25central stem extension (φ=1)64C2.30(C2xES-(2,2))128,2248
C2.31(C2×2- 1+4) = C22.107C25central stem extension (φ=1)64C2.31(C2xES-(2,2))128,2250
C2.32(C2×2- 1+4) = C23.144C24central stem extension (φ=1)32C2.32(C2xES-(2,2))128,2252
C2.33(C2×2- 1+4) = C22.111C25central stem extension (φ=1)64C2.33(C2xES-(2,2))128,2254
C2.34(C2×2- 1+4) = C23.146C24central stem extension (φ=1)64C2.34(C2xES-(2,2))128,2255
C2.35(C2×2- 1+4) = C2×C22.56C24central stem extension (φ=1)64C2.35(C2xES-(2,2))128,2259
C2.36(C2×2- 1+4) = C2×C22.57C24central stem extension (φ=1)64C2.36(C2xES-(2,2))128,2260
C2.37(C2×2- 1+4) = C2×C22.58C24central stem extension (φ=1)128C2.37(C2xES-(2,2))128,2262
C2.38(C2×2- 1+4) = C22.120C25central stem extension (φ=1)64C2.38(C2xES-(2,2))128,2263
C2.39(C2×2- 1+4) = C22.124C25central stem extension (φ=1)32C2.39(C2xES-(2,2))128,2267
C2.40(C2×2- 1+4) = C22.125C25central stem extension (φ=1)32C2.40(C2xES-(2,2))128,2268
C2.41(C2×2- 1+4) = C22.127C25central stem extension (φ=1)32C2.41(C2xES-(2,2))128,2270
C2.42(C2×2- 1+4) = C22.130C25central stem extension (φ=1)32C2.42(C2xES-(2,2))128,2273
C2.43(C2×2- 1+4) = C22.133C25central stem extension (φ=1)64C2.43(C2xES-(2,2))128,2276
C2.44(C2×2- 1+4) = C22.136C25central stem extension (φ=1)64C2.44(C2xES-(2,2))128,2279
C2.45(C2×2- 1+4) = C22.137C25central stem extension (φ=1)64C2.45(C2xES-(2,2))128,2280
C2.46(C2×2- 1+4) = C22.139C25central stem extension (φ=1)64C2.46(C2xES-(2,2))128,2282
C2.47(C2×2- 1+4) = C22.141C25central stem extension (φ=1)64C2.47(C2xES-(2,2))128,2284
C2.48(C2×2- 1+4) = C22.142C25central stem extension (φ=1)64C2.48(C2xES-(2,2))128,2285
C2.49(C2×2- 1+4) = C22.143C25central stem extension (φ=1)64C2.49(C2xES-(2,2))128,2286
C2.50(C2×2- 1+4) = C22.144C25central stem extension (φ=1)64C2.50(C2xES-(2,2))128,2287
C2.51(C2×2- 1+4) = C22.145C25central stem extension (φ=1)64C2.51(C2xES-(2,2))128,2288
C2.52(C2×2- 1+4) = C22.146C25central stem extension (φ=1)64C2.52(C2xES-(2,2))128,2289
C2.53(C2×2- 1+4) = C22.148C25central stem extension (φ=1)64C2.53(C2xES-(2,2))128,2291
C2.54(C2×2- 1+4) = C22.150C25central stem extension (φ=1)32C2.54(C2xES-(2,2))128,2293
C2.55(C2×2- 1+4) = C22.152C25central stem extension (φ=1)64C2.55(C2xES-(2,2))128,2295
C2.56(C2×2- 1+4) = C22.153C25central stem extension (φ=1)32C2.56(C2xES-(2,2))128,2296
C2.57(C2×2- 1+4) = C22.154C25central stem extension (φ=1)64C2.57(C2xES-(2,2))128,2297

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