Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₃₆C₂³

Direct product G=N×Q with N=C₂ and Q=C₂³.₃₆C₂³

		d	ρ	Label	ID
C₂×C₂³.₃₆C₂³		64		C2xC2^3.36C2^3	128,2171

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₃₆C₂³

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂³.₃₆C₂³) = C₂³.₁₆₅C₂⁴	central extension (φ=1)	64	C2.1(C2^3.36C2^3)	128,1015
C₂.₂(C₂³.₃₆C₂³) = C₄²⋊₄₂D₄	central extension (φ=1)	64	C2.2(C2^3.36C2^3)	128,1022
C₂.₃(C₂³.₃₆C₂³) = C₄³⋊₉C₂	central extension (φ=1)	64	C2.3(C2^3.36C2^3)	128,1025
C₂.₄(C₂³.₃₆C₂³) = C₄²⋊₁₄Q₈	central extension (φ=1)	128	C2.4(C2^3.36C2^3)	128,1027
C₂.₅(C₂³.₃₆C₂³) = C₄³⋊₂C₂	central extension (φ=1)	64	C2.5(C2^3.36C2^3)	128,1030
C₂.₆(C₂³.₃₆C₂³) = C₄×C₄⋊D₄	central extension (φ=1)	64	C2.6(C2^3.36C2^3)	128,1032
C₂.₇(C₂³.₃₆C₂³) = C₄×C₂².D₄	central extension (φ=1)	64	C2.7(C2^3.36C2^3)	128,1033
C₂.₈(C₂³.₃₆C₂³) = C₄×C₂²⋊Q₈	central extension (φ=1)	64	C2.8(C2^3.36C2^3)	128,1034
C₂.₉(C₂³.₃₆C₂³) = C₄×C₄.₄D₄	central extension (φ=1)	64	C2.9(C2^3.36C2^3)	128,1035
C₂.₁₀(C₂³.₃₆C₂³) = C₄×C₄²⋊₂C₂	central extension (φ=1)	64	C2.10(C2^3.36C2^3)	128,1036
C₂.₁₁(C₂³.₃₆C₂³) = C₄×C₄².C₂	central extension (φ=1)	128	C2.11(C2^3.36C2^3)	128,1037
C₂.₁₂(C₂³.₃₆C₂³) = C₄²⋊₁₅D₄	central stem extension (φ=1)	64	C2.12(C2^3.36C2^3)	128,1124
C₂.₁₃(C₂³.₃₆C₂³) = C₂³.₂₉₅C₂⁴	central stem extension (φ=1)	64	C2.13(C2^3.36C2^3)	128,1127
C₂.₁₄(C₂³.₃₆C₂³) = C₄².₁₆₂D₄	central stem extension (φ=1)	64	C2.14(C2^3.36C2^3)	128,1128
C₂.₁₅(C₂³.₃₆C₂³) = C₄².₁₆₃D₄	central stem extension (φ=1)	64	C2.15(C2^3.36C2^3)	128,1130
C₂.₁₆(C₂³.₃₆C₂³) = C₂³.₃₀₁C₂⁴	central stem extension (φ=1)	64	C2.16(C2^3.36C2^3)	128,1133
C₂.₁₇(C₂³.₃₆C₂³) = C₄².₃₄Q₈	central stem extension (φ=1)	128	C2.17(C2^3.36C2^3)	128,1134
C₂.₁₈(C₂³.₃₆C₂³) = C₂⁴.₅₆₃C₂³	central stem extension (φ=1)	64	C2.18(C2^3.36C2^3)	128,1151
C₂.₁₉(C₂³.₃₆C₂³) = C₂⁴.₂₅₄C₂³	central stem extension (φ=1)	64	C2.19(C2^3.36C2^3)	128,1152
C₂.₂₀(C₂³.₃₆C₂³) = C₂³.₃₂₁C₂⁴	central stem extension (φ=1)	64	C2.20(C2^3.36C2^3)	128,1153
C₂.₂₁(C₂³.₃₆C₂³) = C₂⁴.₂₅₈C₂³	central stem extension (φ=1)	64	C2.21(C2^3.36C2^3)	128,1157
C₂.₂₂(C₂³.₃₆C₂³) = C₂⁴.₂₅₉C₂³	central stem extension (φ=1)	64	C2.22(C2^3.36C2^3)	128,1158
C₂.₂₃(C₂³.₃₆C₂³) = C₂³.₃₂₇C₂⁴	central stem extension (φ=1)	64	C2.23(C2^3.36C2^3)	128,1159
C₂.₂₄(C₂³.₃₆C₂³) = C₂³.₃₄₄C₂⁴	central stem extension (φ=1)	64	C2.24(C2^3.36C2^3)	128,1176
C₂.₂₅(C₂³.₃₆C₂³) = C₂⁴.₂₇₁C₂³	central stem extension (φ=1)	64	C2.25(C2^3.36C2^3)	128,1179
C₂.₂₆(C₂³.₃₆C₂³) = C₂³.₃₄₈C₂⁴	central stem extension (φ=1)	64	C2.26(C2^3.36C2^3)	128,1180
C₂.₂₇(C₂³.₃₆C₂³) = C₂³.₃₅₀C₂⁴	central stem extension (φ=1)	64	C2.27(C2^3.36C2^3)	128,1182
C₂.₂₈(C₂³.₃₆C₂³) = C₂³.₃₅₃C₂⁴	central stem extension (φ=1)	128	C2.28(C2^3.36C2^3)	128,1185
C₂.₂₉(C₂³.₃₆C₂³) = C₂³.₃₅₄C₂⁴	central stem extension (φ=1)	64	C2.29(C2^3.36C2^3)	128,1186
C₂.₃₀(C₂³.₃₆C₂³) = C₂⁴.₂₇₈C₂³	central stem extension (φ=1)	64	C2.30(C2^3.36C2^3)	128,1189
C₂.₃₁(C₂³.₃₆C₂³) = C₂⁴.₂₇₉C₂³	central stem extension (φ=1)	64	C2.31(C2^3.36C2^3)	128,1190
C₂.₃₂(C₂³.₃₆C₂³) = C₂³.₃₅₉C₂⁴	central stem extension (φ=1)	64	C2.32(C2^3.36C2^3)	128,1191
C₂.₃₃(C₂³.₃₆C₂³) = C₂³.₃₆₀C₂⁴	central stem extension (φ=1)	64	C2.33(C2^3.36C2^3)	128,1192
C₂.₃₄(C₂³.₃₆C₂³) = C₂⁴.₂₈₆C₂³	central stem extension (φ=1)	64	C2.34(C2^3.36C2^3)	128,1198
C₂.₃₅(C₂³.₃₆C₂³) = C₂³.₃₆₇C₂⁴	central stem extension (φ=1)	64	C2.35(C2^3.36C2^3)	128,1199
C₂.₃₆(C₂³.₃₆C₂³) = C₂³.₃₆₈C₂⁴	central stem extension (φ=1)	64	C2.36(C2^3.36C2^3)	128,1200
C₂.₃₇(C₂³.₃₆C₂³) = C₂³.₃₆₉C₂⁴	central stem extension (φ=1)	64	C2.37(C2^3.36C2^3)	128,1201
C₂.₃₈(C₂³.₃₆C₂³) = C₂⁴.₂₈₉C₂³	central stem extension (φ=1)	64	C2.38(C2^3.36C2^3)	128,1202
C₂.₃₉(C₂³.₃₆C₂³) = C₂⁴.₂₉₀C₂³	central stem extension (φ=1)	64	C2.39(C2^3.36C2^3)	128,1203
C₂.₄₀(C₂³.₃₆C₂³) = C₂³.₃₇₄C₂⁴	central stem extension (φ=1)	64	C2.40(C2^3.36C2^3)	128,1206
C₂.₄₁(C₂³.₃₆C₂³) = C₂³.₃₇₅C₂⁴	central stem extension (φ=1)	64	C2.41(C2^3.36C2^3)	128,1207
C₂.₄₂(C₂³.₃₆C₂³) = C₂⁴.₂₉₃C₂³	central stem extension (φ=1)	64	C2.42(C2^3.36C2^3)	128,1208
C₂.₄₃(C₂³.₃₆C₂³) = C₂³.₃₇₇C₂⁴	central stem extension (φ=1)	64	C2.43(C2^3.36C2^3)	128,1209
C₂.₄₄(C₂³.₃₆C₂³) = C₂⁴.₂₉₅C₂³	central stem extension (φ=1)	64	C2.44(C2^3.36C2^3)	128,1210
C₂.₄₅(C₂³.₃₆C₂³) = C₂³.₃₇₉C₂⁴	central stem extension (φ=1)	64	C2.45(C2^3.36C2^3)	128,1211
C₂.₄₆(C₂³.₃₆C₂³) = C₂³.₃₈₈C₂⁴	central stem extension (φ=1)	64	C2.46(C2^3.36C2^3)	128,1220
C₂.₄₇(C₂³.₃₆C₂³) = C₂⁴.₃₀₁C₂³	central stem extension (φ=1)	64	C2.47(C2^3.36C2^3)	128,1221
C₂.₄₈(C₂³.₃₆C₂³) = C₂³.₃₉₀C₂⁴	central stem extension (φ=1)	64	C2.48(C2^3.36C2^3)	128,1222
C₂.₄₉(C₂³.₃₆C₂³) = C₂⁴.₅₇₇C₂³	central stem extension (φ=1)	64	C2.49(C2^3.36C2^3)	128,1225
C₂.₅₀(C₂³.₃₆C₂³) = C₂⁴.₃₀₄C₂³	central stem extension (φ=1)	64	C2.50(C2^3.36C2^3)	128,1226
C₂.₅₁(C₂³.₃₆C₂³) = C₂³.₃₉₅C₂⁴	central stem extension (φ=1)	64	C2.51(C2^3.36C2^3)	128,1227
C₂.₅₂(C₂³.₃₆C₂³) = C₂³.₄₀₅C₂⁴	central stem extension (φ=1)	64	C2.52(C2^3.36C2^3)	128,1237
C₂.₅₃(C₂³.₃₆C₂³) = C₂³.₄₀₈C₂⁴	central stem extension (φ=1)	128	C2.53(C2^3.36C2^3)	128,1240
C₂.₅₄(C₂³.₃₆C₂³) = C₂³.₄₀₉C₂⁴	central stem extension (φ=1)	128	C2.54(C2^3.36C2^3)	128,1241
C₂.₅₅(C₂³.₃₆C₂³) = C₂³.₄₁₀C₂⁴	central stem extension (φ=1)	64	C2.55(C2^3.36C2^3)	128,1242
C₂.₅₆(C₂³.₃₆C₂³) = C₂³.₄₁₃C₂⁴	central stem extension (φ=1)	64	C2.56(C2^3.36C2^3)	128,1245
C₂.₅₇(C₂³.₃₆C₂³) = C₂³.₄₁₄C₂⁴	central stem extension (φ=1)	128	C2.57(C2^3.36C2^3)	128,1246
C₂.₅₈(C₂³.₃₆C₂³) = C₂⁴.₃₀₉C₂³	central stem extension (φ=1)	64	C2.58(C2^3.36C2^3)	128,1247
C₂.₅₉(C₂³.₃₆C₂³) = C₂³.₄₁₆C₂⁴	central stem extension (φ=1)	64	C2.59(C2^3.36C2^3)	128,1248
C₂.₆₀(C₂³.₃₆C₂³) = C₂³.₄₁₇C₂⁴	central stem extension (φ=1)	64	C2.60(C2^3.36C2^3)	128,1249
C₂.₆₁(C₂³.₃₆C₂³) = C₂³.₄₁₈C₂⁴	central stem extension (φ=1)	64	C2.61(C2^3.36C2^3)	128,1250
C₂.₆₂(C₂³.₃₆C₂³) = C₂³.₄₁₉C₂⁴	central stem extension (φ=1)	64	C2.62(C2^3.36C2^3)	128,1251
C₂.₆₃(C₂³.₃₆C₂³) = C₂³.₄₂₀C₂⁴	central stem extension (φ=1)	128	C2.63(C2^3.36C2^3)	128,1252
C₂.₆₄(C₂³.₃₆C₂³) = C₂⁴.₃₁₁C₂³	central stem extension (φ=1)	64	C2.64(C2^3.36C2^3)	128,1253
C₂.₆₅(C₂³.₃₆C₂³) = C₂³.₄₂₂C₂⁴	central stem extension (φ=1)	64	C2.65(C2^3.36C2^3)	128,1254
C₂.₆₆(C₂³.₃₆C₂³) = C₂⁴.₃₁₃C₂³	central stem extension (φ=1)	64	C2.66(C2^3.36C2^3)	128,1255
C₂.₆₇(C₂³.₃₆C₂³) = C₂³.₄₂₄C₂⁴	central stem extension (φ=1)	128	C2.67(C2^3.36C2^3)	128,1256
C₂.₆₈(C₂³.₃₆C₂³) = C₂³.₄₂₅C₂⁴	central stem extension (φ=1)	64	C2.68(C2^3.36C2^3)	128,1257
C₂.₆₉(C₂³.₃₆C₂³) = C₂³.₄₂₆C₂⁴	central stem extension (φ=1)	64	C2.69(C2^3.36C2^3)	128,1258
C₂.₇₀(C₂³.₃₆C₂³) = C₂⁴.₃₁₅C₂³	central stem extension (φ=1)	64	C2.70(C2^3.36C2^3)	128,1259
C₂.₇₁(C₂³.₃₆C₂³) = C₂³.₄₂₈C₂⁴	central stem extension (φ=1)	128	C2.71(C2^3.36C2^3)	128,1260
C₂.₇₂(C₂³.₃₆C₂³) = C₂³.₄₂₉C₂⁴	central stem extension (φ=1)	64	C2.72(C2^3.36C2^3)	128,1261
C₂.₇₃(C₂³.₃₆C₂³) = C₂³.₄₃₀C₂⁴	central stem extension (φ=1)	64	C2.73(C2^3.36C2^3)	128,1262
C₂.₇₄(C₂³.₃₆C₂³) = C₂³.₄₃₁C₂⁴	central stem extension (φ=1)	64	C2.74(C2^3.36C2^3)	128,1263
C₂.₇₅(C₂³.₃₆C₂³) = C₂³.₄₃₂C₂⁴	central stem extension (φ=1)	64	C2.75(C2^3.36C2^3)	128,1264
C₂.₇₆(C₂³.₃₆C₂³) = C₂³.₄₃₃C₂⁴	central stem extension (φ=1)	128	C2.76(C2^3.36C2^3)	128,1265
C₂.₇₇(C₂³.₃₆C₂³) = C₂⁴.₃₂₆C₂³	central stem extension (φ=1)	64	C2.77(C2^3.36C2^3)	128,1285
C₂.₇₈(C₂³.₃₆C₂³) = C₂⁴.₃₂₇C₂³	central stem extension (φ=1)	64	C2.78(C2^3.36C2^3)	128,1286
C₂.₇₉(C₂³.₃₆C₂³) = C₂³.₄₅₇C₂⁴	central stem extension (φ=1)	64	C2.79(C2^3.36C2^3)	128,1289
C₂.₈₀(C₂³.₃₆C₂³) = C₂³.₄₅₈C₂⁴	central stem extension (φ=1)	64	C2.80(C2^3.36C2^3)	128,1290
C₂.₈₁(C₂³.₃₆C₂³) = C₂⁴.₃₃₁C₂³	central stem extension (φ=1)	64	C2.81(C2^3.36C2^3)	128,1291
C₂.₈₂(C₂³.₃₆C₂³) = C₂⁴.₃₃₂C₂³	central stem extension (φ=1)	64	C2.82(C2^3.36C2^3)	128,1292
C₂.₈₃(C₂³.₃₆C₂³) = C₂³.₄₇₂C₂⁴	central stem extension (φ=1)	64	C2.83(C2^3.36C2^3)	128,1304
C₂.₈₄(C₂³.₃₆C₂³) = C₂³.₄₇₃C₂⁴	central stem extension (φ=1)	64	C2.84(C2^3.36C2^3)	128,1305
C₂.₈₅(C₂³.₃₆C₂³) = C₂⁴.₃₃₈C₂³	central stem extension (φ=1)	64	C2.85(C2^3.36C2^3)	128,1306
C₂.₈₆(C₂³.₃₆C₂³) = C₂⁴.₃₃₉C₂³	central stem extension (φ=1)	64	C2.86(C2^3.36C2^3)	128,1307
C₂.₈₇(C₂³.₃₆C₂³) = C₂⁴.₃₄₀C₂³	central stem extension (φ=1)	64	C2.87(C2^3.36C2^3)	128,1308
C₂.₈₈(C₂³.₃₆C₂³) = C₂⁴.₃₄₁C₂³	central stem extension (φ=1)	64	C2.88(C2^3.36C2^3)	128,1309
C₂.₈₉(C₂³.₃₆C₂³) = C₂³.₄₇₈C₂⁴	central stem extension (φ=1)	64	C2.89(C2^3.36C2^3)	128,1310
C₂.₉₀(C₂³.₃₆C₂³) = C₂³.₄₈₅C₂⁴	central stem extension (φ=1)	128	C2.90(C2^3.36C2^3)	128,1317
C₂.₉₁(C₂³.₃₆C₂³) = C₂⁴.₃₄₅C₂³	central stem extension (φ=1)	64	C2.91(C2^3.36C2^3)	128,1319
C₂.₉₂(C₂³.₃₆C₂³) = C₂³.₄₈₈C₂⁴	central stem extension (φ=1)	128	C2.92(C2^3.36C2^3)	128,1320
C₂.₉₃(C₂³.₃₆C₂³) = C₂⁴.₃₄₆C₂³	central stem extension (φ=1)	64	C2.93(C2^3.36C2^3)	128,1321
C₂.₉₄(C₂³.₃₆C₂³) = C₂³.₄₉₀C₂⁴	central stem extension (φ=1)	128	C2.94(C2^3.36C2^3)	128,1322
C₂.₉₅(C₂³.₃₆C₂³) = C₂³.₄₉₃C₂⁴	central stem extension (φ=1)	64	C2.95(C2^3.36C2^3)	128,1325
C₂.₉₆(C₂³.₃₆C₂³) = C₂³.₄₉₄C₂⁴	central stem extension (φ=1)	64	C2.96(C2^3.36C2^3)	128,1326
C₂.₉₇(C₂³.₃₆C₂³) = C₂⁴.₃₄₇C₂³	central stem extension (φ=1)	64	C2.97(C2^3.36C2^3)	128,1327
C₂.₉₈(C₂³.₃₆C₂³) = C₂³.₄₉₆C₂⁴	central stem extension (φ=1)	64	C2.98(C2^3.36C2^3)	128,1328
C₂.₉₉(C₂³.₃₆C₂³) = C₂⁴.₃₄₈C₂³	central stem extension (φ=1)	64	C2.99(C2^3.36C2^3)	128,1329
C₂.₁₀₀(C₂³.₃₆C₂³) = C₂³.₅₄₈C₂⁴	central stem extension (φ=1)	64	C2.100(C2^3.36C2^3)	128,1380
C₂.₁₀₁(C₂³.₃₆C₂³) = C₂⁴.₃₇₅C₂³	central stem extension (φ=1)	64	C2.101(C2^3.36C2^3)	128,1381
C₂.₁₀₂(C₂³.₃₆C₂³) = C₂³.₅₅₀C₂⁴	central stem extension (φ=1)	64	C2.102(C2^3.36C2^3)	128,1382
C₂.₁₀₃(C₂³.₃₆C₂³) = C₂³.₅₅₁C₂⁴	central stem extension (φ=1)	64	C2.103(C2^3.36C2^3)	128,1383
C₂.₁₀₄(C₂³.₃₆C₂³) = C₂⁴.₃₇₆C₂³	central stem extension (φ=1)	64	C2.104(C2^3.36C2^3)	128,1384
C₂.₁₀₅(C₂³.₃₆C₂³) = C₂³.₅₅₃C₂⁴	central stem extension (φ=1)	64	C2.105(C2^3.36C2^3)	128,1385
C₂.₁₀₆(C₂³.₃₆C₂³) = C₂³.₅₅₄C₂⁴	central stem extension (φ=1)	64	C2.106(C2^3.36C2^3)	128,1386
C₂.₁₀₇(C₂³.₃₆C₂³) = C₂³.₅₅₅C₂⁴	central stem extension (φ=1)	128	C2.107(C2^3.36C2^3)	128,1387
C₂.₁₀₈(C₂³.₃₆C₂³) = C₄²⋊₄₆D₄	central stem extension (φ=1)	64	C2.108(C2^3.36C2^3)	128,1582
C₂.₁₀₉(C₂³.₃₆C₂³) = C₄².₄₃₉D₄	central stem extension (φ=1)	64	C2.109(C2^3.36C2^3)	128,1583
C₂.₁₁₀(C₂³.₃₆C₂³) = C₄²⋊₄₃D₄	central stem extension (φ=1)	64	C2.110(C2^3.36C2^3)	128,1584
C₂.₁₁₁(C₂³.₃₆C₂³) = C₂³.₇₅₃C₂⁴	central stem extension (φ=1)	64	C2.111(C2^3.36C2^3)	128,1585
C₂.₁₁₂(C₂³.₃₆C₂³) = C₂⁴.₅₉₈C₂³	central stem extension (φ=1)	64	C2.112(C2^3.36C2^3)	128,1586
C₂.₁₁₃(C₂³.₃₆C₂³) = C₂⁴.₅₉₉C₂³	central stem extension (φ=1)	64	C2.113(C2^3.36C2^3)	128,1587
C₂.₁₁₄(C₂³.₃₆C₂³) = C₄³⋊₁₃C₂	central stem extension (φ=1)	64	C2.114(C2^3.36C2^3)	128,1592
C₂.₁₁₅(C₂³.₃₆C₂³) = C₄³⋊₁₄C₂	central stem extension (φ=1)	64	C2.115(C2^3.36C2^3)	128,1593
C₂.₁₁₆(C₂³.₃₆C₂³) = C₄²⋊₁₅Q₈	central stem extension (φ=1)	128	C2.116(C2^3.36C2^3)	128,1595
C₂.₁₁₇(C₂³.₃₆C₂³) = C₄³.₁₈C₂	central stem extension (φ=1)	128	C2.117(C2^3.36C2^3)	128,1596
C₂.₁₁₈(C₂³.₃₆C₂³) = C₄³⋊₄C₂	central stem extension (φ=1)	64	C2.118(C2^3.36C2^3)	128,1597
C₂.₁₁₉(C₂³.₃₆C₂³) = C₄³⋊₅C₂	central stem extension (φ=1)	64	C2.119(C2^3.36C2^3)	128,1598

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.36C23

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₃₆C₂³