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Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C4○D4

Direct product G=N×Q with N=C10 and Q=C2×C4○D4
dρLabelID
C4○D4×C2×C10160C4oD4xC2xC10320,1631

Semidirect products G=N:Q with N=C10 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C10⋊1(C2×C4○D4) = C22×C4○D20φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10:1(C2xC4oD4)320,1611
C10⋊2(C2×C4○D4) = C22×D4⋊2D5φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10:2(C2xC4oD4)320,1613
C10⋊3(C2×C4○D4) = C22×Q8⋊2D5φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10:3(C2xC4oD4)320,1616
C10⋊4(C2×C4○D4) = C2×D5×C4○D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10:4(C2xC4oD4)320,1618

Non-split extensions G=N.Q with N=C10 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C10.1(C2×C4○D4) = C2×C4×Dic10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10320C10.1(C2xC4oD4)320,1139
C10.2(C2×C4○D4) = C2×C20.6Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10320C10.2(C2xC4oD4)320,1141
C10.3(C2×C4○D4) = C42.274D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.3(C2xC4oD4)320,1142
C10.4(C2×C4○D4) = C2×C42⋊D5φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.4(C2xC4oD4)320,1144
C10.5(C2×C4○D4) = C2×C4×D20φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.5(C2xC4oD4)320,1145
C10.6(C2×C4○D4) = C4×C4○D20φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.6(C2xC4oD4)320,1146
C10.7(C2×C4○D4) = C2×C4.D20φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.7(C2xC4oD4)320,1148
C10.8(C2×C4○D4) = C42.276D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.8(C2xC4oD4)320,1149
C10.9(C2×C4○D4) = C2×C42⋊2D5φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.9(C2xC4oD4)320,1150
C10.10(C2×C4○D4) = C42.277D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.10(C2xC4oD4)320,1151
C10.11(C2×C4○D4) = C2×C23.D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.11(C2xC4oD4)320,1154
C10.12(C2×C4○D4) = C2×D10.12D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.12(C2xC4oD4)320,1160
C10.13(C2×C4○D4) = C2×D10⋊D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.13(C2xC4oD4)320,1161
C10.14(C2×C4○D4) = C24.27D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.14(C2xC4oD4)320,1162
C10.15(C2×C4○D4) = C2×Dic5.5D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.15(C2xC4oD4)320,1163
C10.16(C2×C4○D4) = C24.30D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.16(C2xC4oD4)320,1166
C10.17(C2×C4○D4) = C24.31D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.17(C2xC4oD4)320,1167
C10.18(C2×C4○D4) = C2×Dic5.Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10320C10.18(C2xC4oD4)320,1170
C10.19(C2×C4○D4) = C2×D10.13D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.19(C2xC4oD4)320,1177
C10.20(C2×C4○D4) = C10.2- 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.20(C2xC4oD4)320,1179
C10.21(C2×C4○D4) = C2×D10⋊Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.21(C2xC4oD4)320,1180
C10.22(C2×C4○D4) = C10.102+ 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.22(C2xC4oD4)320,1183
C10.23(C2×C4○D4) = C2×C4⋊C4⋊D5φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.23(C2xC4oD4)320,1184
C10.24(C2×C4○D4) = C10.52- 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.24(C2xC4oD4)320,1185
C10.25(C2×C4○D4) = C10.112+ 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.25(C2xC4oD4)320,1186
C10.26(C2×C4○D4) = C10.62- 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.26(C2xC4oD4)320,1187
C10.27(C2×C4○D4) = C42.89D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.27(C2xC4oD4)320,1190
C10.28(C2×C4○D4) = C42⋊10D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.28(C2xC4oD4)320,1199
C10.29(C2×C4○D4) = C42.93D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.29(C2xC4oD4)320,1200
C10.30(C2×C4○D4) = C42.94D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.30(C2xC4oD4)320,1201
C10.31(C2×C4○D4) = C42.96D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.31(C2xC4oD4)320,1203
C10.32(C2×C4○D4) = C42.97D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.32(C2xC4oD4)320,1204
C10.33(C2×C4○D4) = C42.98D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.33(C2xC4oD4)320,1205
C10.34(C2×C4○D4) = C42.99D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.34(C2xC4oD4)320,1206
C10.35(C2×C4○D4) = C42.100D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.35(C2xC4oD4)320,1207
C10.36(C2×C4○D4) = C42.104D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.36(C2xC4oD4)320,1212
C10.37(C2×C4○D4) = C42.105D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.37(C2xC4oD4)320,1213
C10.38(C2×C4○D4) = C42.106D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.38(C2xC4oD4)320,1214
C10.39(C2×C4○D4) = C42⋊12D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.39(C2xC4oD4)320,1219
C10.40(C2×C4○D4) = C42.228D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.40(C2xC4oD4)320,1220
C10.41(C2×C4○D4) = D20⋊23D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.41(C2xC4oD4)320,1222
C10.42(C2×C4○D4) = D20⋊24D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.42(C2xC4oD4)320,1223
C10.43(C2×C4○D4) = Dic10⋊23D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.43(C2xC4oD4)320,1224
C10.44(C2×C4○D4) = Dic10⋊24D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.44(C2xC4oD4)320,1225
C10.45(C2×C4○D4) = C42.114D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.45(C2xC4oD4)320,1231
C10.46(C2×C4○D4) = C42⋊17D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.46(C2xC4oD4)320,1232
C10.47(C2×C4○D4) = C42.115D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.47(C2xC4oD4)320,1233
C10.48(C2×C4○D4) = C42.116D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.48(C2xC4oD4)320,1234
C10.49(C2×C4○D4) = C42.117D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.49(C2xC4oD4)320,1235
C10.50(C2×C4○D4) = C42.118D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.50(C2xC4oD4)320,1236
C10.51(C2×C4○D4) = C42.119D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.51(C2xC4oD4)320,1237
C10.52(C2×C4○D4) = Dic10⋊10Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10320C10.52(C2xC4oD4)320,1239
C10.53(C2×C4○D4) = C42.122D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.53(C2xC4oD4)320,1240
C10.54(C2×C4○D4) = C42.232D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.54(C2xC4oD4)320,1250
C10.55(C2×C4○D4) = D20⋊10Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.55(C2xC4oD4)320,1251
C10.56(C2×C4○D4) = C42.133D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.56(C2xC4oD4)320,1254
C10.57(C2×C4○D4) = C42.134D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.57(C2xC4oD4)320,1255
C10.58(C2×C4○D4) = C42.136D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.58(C2xC4oD4)320,1257
C10.59(C2×C4○D4) = C2×C20.48D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.59(C2xC4oD4)320,1456
C10.60(C2×C4○D4) = C2×C23.21D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.60(C2xC4oD4)320,1458
C10.61(C2×C4○D4) = C2×C4×C5⋊D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.61(C2xC4oD4)320,1460
C10.62(C2×C4○D4) = C2×C23.23D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.62(C2xC4oD4)320,1461
C10.63(C2×C4○D4) = C2×C20⋊7D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C10160C10.63(C2xC4oD4)320,1462
C10.64(C2×C4○D4) = C24.72D10φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C1080C10.64(C2xC4oD4)320,1463
C10.65(C2×C4○D4) = C2×C23.11D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.65(C2xC4oD4)320,1152
C10.66(C2×C4○D4) = C2×Dic5.14D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.66(C2xC4oD4)320,1153
C10.67(C2×C4○D4) = C2×Dic5⋊4D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.67(C2xC4oD4)320,1157
C10.68(C2×C4○D4) = C2×C22.D20φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.68(C2xC4oD4)320,1164
C10.69(C2×C4○D4) = C2×Dic5⋊3Q8φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10320C10.69(C2xC4oD4)320,1168
C10.70(C2×C4○D4) = C2×C4.Dic10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10320C10.70(C2xC4oD4)320,1171
C10.71(C2×C4○D4) = C2×C4⋊C4⋊7D5φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.71(C2xC4oD4)320,1174
C10.72(C2×C4○D4) = C2×D10⋊2Q8φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.72(C2xC4oD4)320,1181
C10.73(C2×C4○D4) = D4⋊6Dic10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.73(C2xC4oD4)320,1215
C10.74(C2×C4○D4) = D4⋊6D20φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.74(C2xC4oD4)320,1227
C10.75(C2×C4○D4) = C24.56D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C1080C10.75(C2xC4oD4)320,1258
C10.76(C2×C4○D4) = C24.32D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C1080C10.76(C2xC4oD4)320,1259
C10.77(C2×C4○D4) = C24.33D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C1080C10.77(C2xC4oD4)320,1263
C10.78(C2×C4○D4) = C24.35D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C1080C10.78(C2xC4oD4)320,1265
C10.79(C2×C4○D4) = C20⋊(C4○D4)φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.79(C2xC4oD4)320,1268
C10.80(C2×C4○D4) = Dic10⋊19D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.80(C2xC4oD4)320,1270
C10.81(C2×C4○D4) = C10.342+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.81(C2xC4oD4)320,1273
C10.82(C2×C4○D4) = C10.352+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.82(C2xC4oD4)320,1274
C10.83(C2×C4○D4) = C10.362+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.83(C2xC4oD4)320,1275
C10.84(C2×C4○D4) = C10.732- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.84(C2xC4oD4)320,1283
C10.85(C2×C4○D4) = C10.462+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C1080C10.85(C2xC4oD4)320,1289
C10.86(C2×C4○D4) = C10.1152+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.86(C2xC4oD4)320,1290
C10.87(C2×C4○D4) = C10.472+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.87(C2xC4oD4)320,1291
C10.88(C2×C4○D4) = (Q8×Dic5)⋊C2φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.88(C2xC4oD4)320,1294
C10.89(C2×C4○D4) = C10.152- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.89(C2xC4oD4)320,1297
C10.90(C2×C4○D4) = C10.1182+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.90(C2xC4oD4)320,1307
C10.91(C2×C4○D4) = C10.242- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.91(C2xC4oD4)320,1315
C10.92(C2×C4○D4) = C10.852- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.92(C2xC4oD4)320,1337
C10.93(C2×C4○D4) = C42.139D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.93(C2xC4oD4)320,1343
C10.94(C2×C4○D4) = C42.144D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.94(C2xC4oD4)320,1354
C10.95(C2×C4○D4) = C42.166D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.95(C2xC4oD4)320,1385
C10.96(C2×C4○D4) = C42.238D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.96(C2xC4oD4)320,1388
C10.97(C2×C4○D4) = Dic10⋊11D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.97(C2xC4oD4)320,1390
C10.98(C2×C4○D4) = C42.168D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.98(C2xC4oD4)320,1391
C10.99(C2×C4○D4) = Dic10⋊8Q8φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10320C10.99(C2xC4oD4)320,1393
C10.100(C2×C4○D4) = C42.241D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.100(C2xC4oD4)320,1400
C10.101(C2×C4○D4) = C42.176D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.101(C2xC4oD4)320,1403
C10.102(C2×C4○D4) = C2×D4×Dic5φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.102(C2xC4oD4)320,1467
C10.103(C2×C4○D4) = C2×C23.18D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.103(C2xC4oD4)320,1468
C10.104(C2×C4○D4) = C2×C20.17D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.104(C2xC4oD4)320,1469
C10.105(C2×C4○D4) = C2×C20⋊2D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.105(C2xC4oD4)320,1472
C10.106(C2×C4○D4) = C2×Dic5⋊D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C10160C10.106(C2xC4oD4)320,1474
C10.107(C2×C4○D4) = C24.42D10φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C1080C10.107(C2xC4oD4)320,1478
C10.108(C2×C4○D4) = C2×D20⋊8C4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.108(C2xC4oD4)320,1175
C10.109(C2×C4○D4) = C2×C4⋊D20φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.109(C2xC4oD4)320,1178
C10.110(C2×C4○D4) = Q8⋊6Dic10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10320C10.110(C2xC4oD4)320,1242
C10.111(C2×C4○D4) = C4×Q8⋊2D5φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.111(C2xC4oD4)320,1245
C10.112(C2×C4○D4) = Q8⋊6D20φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.112(C2xC4oD4)320,1249
C10.113(C2×C4○D4) = C42.135D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.113(C2xC4oD4)320,1256
C10.114(C2×C4○D4) = D20⋊21D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C1080C10.114(C2xC4oD4)320,1302
C10.115(C2×C4○D4) = C10.772- 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.115(C2xC4oD4)320,1314
C10.116(C2×C4○D4) = C10.562+ 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C1080C10.116(C2xC4oD4)320,1316
C10.117(C2×C4○D4) = C10.572+ 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.117(C2xC4oD4)320,1317
C10.118(C2×C4○D4) = C42.155D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.118(C2xC4oD4)320,1369
C10.119(C2×C4○D4) = C42.156D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.119(C2xC4oD4)320,1370
C10.120(C2×C4○D4) = C42.240D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.120(C2xC4oD4)320,1397
C10.121(C2×C4○D4) = D20⋊12D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.121(C2xC4oD4)320,1398
C10.122(C2×C4○D4) = D20⋊9Q8φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.122(C2xC4oD4)320,1402
C10.123(C2×C4○D4) = C42.177D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.123(C2xC4oD4)320,1404
C10.124(C2×C4○D4) = C42.178D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.124(C2xC4oD4)320,1405
C10.125(C2×C4○D4) = C42.179D10φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.125(C2xC4oD4)320,1406
C10.126(C2×C4○D4) = C2×Q8×Dic5φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10320C10.126(C2xC4oD4)320,1483
C10.127(C2×C4○D4) = C2×D10⋊3Q8φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.127(C2xC4oD4)320,1485
C10.128(C2×C4○D4) = C2×C20.23D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.128(C2xC4oD4)320,1486
C10.129(C2×C4○D4) = C10.452- 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C10160C10.129(C2xC4oD4)320,1489
C10.130(C2×C4○D4) = C42.88D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.130(C2xC4oD4)320,1189
C10.131(C2×C4○D4) = D5×C42⋊C2φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.131(C2xC4oD4)320,1192
C10.132(C2×C4○D4) = C42.188D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.132(C2xC4oD4)320,1194
C10.133(C2×C4○D4) = C42⋊8D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.133(C2xC4oD4)320,1196
C10.134(C2×C4○D4) = C42.95D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.134(C2xC4oD4)320,1202
C10.135(C2×C4○D4) = C4×D4⋊2D5φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.135(C2xC4oD4)320,1208
C10.136(C2×C4○D4) = C42.102D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.136(C2xC4oD4)320,1210
C10.137(C2×C4○D4) = D4⋊5Dic10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.137(C2xC4oD4)320,1211
C10.138(C2×C4○D4) = C4×D4×D5φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.138(C2xC4oD4)320,1216
C10.139(C2×C4○D4) = D4⋊5D20φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.139(C2xC4oD4)320,1226
C10.140(C2×C4○D4) = C42⋊16D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.140(C2xC4oD4)320,1228
C10.141(C2×C4○D4) = C42.229D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.141(C2xC4oD4)320,1229
C10.142(C2×C4○D4) = C42.113D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.142(C2xC4oD4)320,1230
C10.143(C2×C4○D4) = Q8⋊5Dic10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10320C10.143(C2xC4oD4)320,1241
C10.144(C2×C4○D4) = C4×Q8×D5φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.144(C2xC4oD4)320,1243
C10.145(C2×C4○D4) = Q8⋊5D20φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.145(C2xC4oD4)320,1248
C10.146(C2×C4○D4) = C42.131D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.146(C2xC4oD4)320,1252
C10.147(C2×C4○D4) = C42.132D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.147(C2xC4oD4)320,1253
C10.148(C2×C4○D4) = Dic10⋊20D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.148(C2xC4oD4)320,1271
C10.149(C2×C4○D4) = C4⋊C4.178D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.149(C2xC4oD4)320,1272
C10.150(C2×C4○D4) = D5×C4⋊D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.150(C2xC4oD4)320,1276
C10.151(C2×C4○D4) = C4⋊C4⋊21D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.151(C2xC4oD4)320,1278
C10.152(C2×C4○D4) = C10.402+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.152(C2xC4oD4)320,1282
C10.153(C2×C4○D4) = D20⋊20D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.153(C2xC4oD4)320,1284
C10.154(C2×C4○D4) = C10.422+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.154(C2xC4oD4)320,1285
C10.155(C2×C4○D4) = C10.432+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.155(C2xC4oD4)320,1286
C10.156(C2×C4○D4) = C10.442+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.156(C2xC4oD4)320,1287
C10.157(C2×C4○D4) = C10.452+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.157(C2xC4oD4)320,1288
C10.158(C2×C4○D4) = C22⋊Q8⋊25D5φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.158(C2xC4oD4)320,1296
C10.159(C2×C4○D4) = D5×C22⋊Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.159(C2xC4oD4)320,1298
C10.160(C2×C4○D4) = C4⋊C4⋊26D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.160(C2xC4oD4)320,1299
C10.161(C2×C4○D4) = D20⋊22D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.161(C2xC4oD4)320,1303
C10.162(C2×C4○D4) = Dic10⋊22D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.162(C2xC4oD4)320,1305
C10.163(C2×C4○D4) = C10.522+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.163(C2xC4oD4)320,1308
C10.164(C2×C4○D4) = C10.532+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.164(C2xC4oD4)320,1309
C10.165(C2×C4○D4) = C10.202- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.165(C2xC4oD4)320,1310
C10.166(C2×C4○D4) = C10.212- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.166(C2xC4oD4)320,1311
C10.167(C2×C4○D4) = C10.222- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.167(C2xC4oD4)320,1312
C10.168(C2×C4○D4) = C10.232- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.168(C2xC4oD4)320,1313
C10.169(C2×C4○D4) = C4⋊C4.197D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.169(C2xC4oD4)320,1321
C10.170(C2×C4○D4) = C10.802- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.170(C2xC4oD4)320,1322
C10.171(C2×C4○D4) = D5×C22.D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.171(C2xC4oD4)320,1324
C10.172(C2×C4○D4) = C10.1212+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.172(C2xC4oD4)320,1326
C10.173(C2×C4○D4) = C10.822- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.173(C2xC4oD4)320,1327
C10.174(C2×C4○D4) = C4⋊C4⋊28D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.174(C2xC4oD4)320,1328
C10.175(C2×C4○D4) = C10.612+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.175(C2xC4oD4)320,1329
C10.176(C2×C4○D4) = C10.1222+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.176(C2xC4oD4)320,1330
C10.177(C2×C4○D4) = C10.622+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.177(C2xC4oD4)320,1331
C10.178(C2×C4○D4) = C10.632+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.178(C2xC4oD4)320,1332
C10.179(C2×C4○D4) = C10.642+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.179(C2xC4oD4)320,1333
C10.180(C2×C4○D4) = C10.842- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.180(C2xC4oD4)320,1334
C10.181(C2×C4○D4) = C10.662+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.181(C2xC4oD4)320,1335
C10.182(C2×C4○D4) = C10.672+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.182(C2xC4oD4)320,1336
C10.183(C2×C4○D4) = C42.233D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.183(C2xC4oD4)320,1340
C10.184(C2×C4○D4) = C42.137D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.184(C2xC4oD4)320,1341
C10.185(C2×C4○D4) = C42.138D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.185(C2xC4oD4)320,1342
C10.186(C2×C4○D4) = D5×C4.4D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.186(C2xC4oD4)320,1345
C10.187(C2×C4○D4) = D20⋊10D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.187(C2xC4oD4)320,1348
C10.188(C2×C4○D4) = Dic10⋊10D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.188(C2xC4oD4)320,1349
C10.189(C2×C4○D4) = C42⋊20D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.189(C2xC4oD4)320,1350
C10.190(C2×C4○D4) = C42⋊21D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.190(C2xC4oD4)320,1351
C10.191(C2×C4○D4) = C42.234D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.191(C2xC4oD4)320,1352
C10.192(C2×C4○D4) = C42.143D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.192(C2xC4oD4)320,1353
C10.193(C2×C4○D4) = Dic10⋊7Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10320C10.193(C2xC4oD4)320,1357
C10.194(C2×C4○D4) = D5×C42.C2φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.194(C2xC4oD4)320,1359
C10.195(C2×C4○D4) = C42.236D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.195(C2xC4oD4)320,1360
C10.196(C2×C4○D4) = D20⋊7Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.196(C2xC4oD4)320,1362
C10.197(C2×C4○D4) = C42.237D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.197(C2xC4oD4)320,1363
C10.198(C2×C4○D4) = C42.150D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.198(C2xC4oD4)320,1364
C10.199(C2×C4○D4) = C42.151D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.199(C2xC4oD4)320,1365
C10.200(C2×C4○D4) = C42.152D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.200(C2xC4oD4)320,1366
C10.201(C2×C4○D4) = C42.153D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.201(C2xC4oD4)320,1367
C10.202(C2×C4○D4) = C42.154D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.202(C2xC4oD4)320,1368
C10.203(C2×C4○D4) = C42.159D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.203(C2xC4oD4)320,1373
C10.204(C2×C4○D4) = C42.160D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.204(C2xC4oD4)320,1374
C10.205(C2×C4○D4) = D5×C42⋊2C2φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.205(C2xC4oD4)320,1375
C10.206(C2×C4○D4) = C42⋊23D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.206(C2xC4oD4)320,1376
C10.207(C2×C4○D4) = C42⋊24D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.207(C2xC4oD4)320,1377
C10.208(C2×C4○D4) = C42.189D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.208(C2xC4oD4)320,1378
C10.209(C2×C4○D4) = C42.161D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.209(C2xC4oD4)320,1379
C10.210(C2×C4○D4) = C42.162D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.210(C2xC4oD4)320,1380
C10.211(C2×C4○D4) = C42.163D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.211(C2xC4oD4)320,1381
C10.212(C2×C4○D4) = C42.164D10φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.212(C2xC4oD4)320,1382
C10.213(C2×C4○D4) = C10.1042- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.213(C2xC4oD4)320,1496
C10.214(C2×C4○D4) = C4○D4×Dic5φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.214(C2xC4oD4)320,1498
C10.215(C2×C4○D4) = (C2×C20)⋊15D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.215(C2xC4oD4)320,1500
C10.216(C2×C4○D4) = C10.1452+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C1080C10.216(C2xC4oD4)320,1501
C10.217(C2×C4○D4) = C10.1072- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.217(C2xC4oD4)320,1503
C10.218(C2×C4○D4) = (C2×C20)⋊17D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.218(C2xC4oD4)320,1504
C10.219(C2×C4○D4) = C10.1482+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C10160C10.219(C2xC4oD4)320,1506
C10.220(C2×C4○D4) = C10×C42⋊C2central extension (φ=1)160C10.220(C2xC4oD4)320,1516
C10.221(C2×C4○D4) = D4×C2×C20central extension (φ=1)160C10.221(C2xC4oD4)320,1517
C10.222(C2×C4○D4) = Q8×C2×C20central extension (φ=1)320C10.222(C2xC4oD4)320,1518
C10.223(C2×C4○D4) = C4○D4×C20central extension (φ=1)160C10.223(C2xC4oD4)320,1519
C10.224(C2×C4○D4) = C10×C4⋊D4central extension (φ=1)160C10.224(C2xC4oD4)320,1524
C10.225(C2×C4○D4) = C10×C22⋊Q8central extension (φ=1)160C10.225(C2xC4oD4)320,1525
C10.226(C2×C4○D4) = C10×C22.D4central extension (φ=1)160C10.226(C2xC4oD4)320,1526
C10.227(C2×C4○D4) = C5×C22.19C24central extension (φ=1)80C10.227(C2xC4oD4)320,1527
C10.228(C2×C4○D4) = C10×C4.4D4central extension (φ=1)160C10.228(C2xC4oD4)320,1528
C10.229(C2×C4○D4) = C10×C42.C2central extension (φ=1)320C10.229(C2xC4oD4)320,1529
C10.230(C2×C4○D4) = C10×C42⋊2C2central extension (φ=1)160C10.230(C2xC4oD4)320,1530
C10.231(C2×C4○D4) = C5×C23.36C23central extension (φ=1)160C10.231(C2xC4oD4)320,1531
C10.232(C2×C4○D4) = C5×C22.26C24central extension (φ=1)160C10.232(C2xC4oD4)320,1534
C10.233(C2×C4○D4) = C5×C23.37C23central extension (φ=1)160C10.233(C2xC4oD4)320,1535
C10.234(C2×C4○D4) = C5×C22.32C24central extension (φ=1)80C10.234(C2xC4oD4)320,1540
C10.235(C2×C4○D4) = C5×C22.33C24central extension (φ=1)160C10.235(C2xC4oD4)320,1541
C10.236(C2×C4○D4) = C5×C22.34C24central extension (φ=1)160C10.236(C2xC4oD4)320,1542
C10.237(C2×C4○D4) = C5×C22.35C24central extension (φ=1)160C10.237(C2xC4oD4)320,1543
C10.238(C2×C4○D4) = C5×C22.36C24central extension (φ=1)160C10.238(C2xC4oD4)320,1544
C10.239(C2×C4○D4) = C5×D4⋊5D4central extension (φ=1)80C10.239(C2xC4oD4)320,1548
C10.240(C2×C4○D4) = C5×D4⋊6D4central extension (φ=1)160C10.240(C2xC4oD4)320,1549
C10.241(C2×C4○D4) = C5×Q8⋊5D4central extension (φ=1)160C10.241(C2xC4oD4)320,1550
C10.242(C2×C4○D4) = C5×Q8⋊6D4central extension (φ=1)160C10.242(C2xC4oD4)320,1552
C10.243(C2×C4○D4) = C5×C22.45C24central extension (φ=1)80C10.243(C2xC4oD4)320,1553
C10.244(C2×C4○D4) = C5×C22.46C24central extension (φ=1)160C10.244(C2xC4oD4)320,1554
C10.245(C2×C4○D4) = C5×C22.47C24central extension (φ=1)160C10.245(C2xC4oD4)320,1555
C10.246(C2×C4○D4) = C5×D4⋊3Q8central extension (φ=1)160C10.246(C2xC4oD4)320,1556
C10.247(C2×C4○D4) = C5×C22.49C24central extension (φ=1)160C10.247(C2xC4oD4)320,1557
C10.248(C2×C4○D4) = C5×C22.50C24central extension (φ=1)160C10.248(C2xC4oD4)320,1558
C10.249(C2×C4○D4) = C5×Q8⋊3Q8central extension (φ=1)320C10.249(C2xC4oD4)320,1559
C10.250(C2×C4○D4) = C5×C22.53C24central extension (φ=1)160C10.250(C2xC4oD4)320,1561

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