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Extensions 1→N→G→Q→1 with N=C14 and Q=2- 1+4

Direct product G=N×Q with N=C14 and Q=2- 1+4
dρLabelID
C14×2- 1+4224C14xES-(2,2)448,1390

Semidirect products G=N:Q with N=C14 and Q=2- 1+4
extensionφ:Q→Aut NdρLabelID
C14⋊12- 1+4 = C2×Q8.10D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14:1ES-(2,2)448,1374
C14⋊22- 1+4 = C2×D4.10D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14:2ES-(2,2)448,1377

Non-split extensions G=N.Q with N=C14 and Q=2- 1+4
extensionφ:Q→Aut NdρLabelID
C14.12- 1+4 = C14.72+ 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.1ES-(2,2)448,953
C14.22- 1+4 = C14.82+ 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.2ES-(2,2)448,957
C14.32- 1+4 = C14.2- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.3ES-(2,2)448,960
C14.42- 1+4 = C14.2+ 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.4ES-(2,2)448,963
C14.52- 1+4 = C14.52- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.5ES-(2,2)448,966
C14.62- 1+4 = C14.62- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.6ES-(2,2)448,968
C14.72- 1+4 = C42.122D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.7ES-(2,2)448,1021
C14.82- 1+4 = Q8⋊5Dic14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14448C14.8ES-(2,2)448,1022
C14.92- 1+4 = C42.125D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.9ES-(2,2)448,1025
C14.102- 1+4 = C42.126D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.10ES-(2,2)448,1027
C14.112- 1+4 = Q8⋊5D28φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.11ES-(2,2)448,1029
C14.122- 1+4 = C42.132D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.12ES-(2,2)448,1034
C14.132- 1+4 = C42.133D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.13ES-(2,2)448,1035
C14.142- 1+4 = C42.134D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.14ES-(2,2)448,1036
C14.152- 1+4 = C14.152- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.15ES-(2,2)448,1078
C14.162- 1+4 = C14.162- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.16ES-(2,2)448,1081
C14.172- 1+4 = C14.172- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.17ES-(2,2)448,1082
C14.182- 1+4 = D28⋊22D4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.18ES-(2,2)448,1084
C14.192- 1+4 = Dic14⋊22D4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.19ES-(2,2)448,1086
C14.202- 1+4 = C14.202- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.20ES-(2,2)448,1091
C14.212- 1+4 = C14.212- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.21ES-(2,2)448,1092
C14.222- 1+4 = C14.222- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.22ES-(2,2)448,1093
C14.232- 1+4 = C14.232- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.23ES-(2,2)448,1094
C14.242- 1+4 = C14.242- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.24ES-(2,2)448,1096
C14.252- 1+4 = C14.582+ 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.25ES-(2,2)448,1099
C14.262- 1+4 = C14.262- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.26ES-(2,2)448,1100
C14.272- 1+4 = C42.147D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14448C14.27ES-(2,2)448,1139
C14.282- 1+4 = C42.150D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.28ES-(2,2)448,1145
C14.292- 1+4 = C42.151D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.29ES-(2,2)448,1146
C14.302- 1+4 = C42.154D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.30ES-(2,2)448,1149
C14.312- 1+4 = C42.157D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.31ES-(2,2)448,1152
C14.322- 1+4 = C42.158D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.32ES-(2,2)448,1153
C14.332- 1+4 = Dic14⋊8Q8φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14448C14.33ES-(2,2)448,1174
C14.342- 1+4 = C42.171D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.34ES-(2,2)448,1177
C14.352- 1+4 = D28⋊12D4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.35ES-(2,2)448,1179
C14.362- 1+4 = D28⋊8Q8φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.36ES-(2,2)448,1180
C14.372- 1+4 = C42.174D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.37ES-(2,2)448,1182
C14.382- 1+4 = C42.176D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.38ES-(2,2)448,1184
C14.392- 1+4 = C42.177D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.39ES-(2,2)448,1185
C14.402- 1+4 = C42.178D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.40ES-(2,2)448,1186
C14.412- 1+4 = C42.180D14φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.41ES-(2,2)448,1188
C14.422- 1+4 = C14.422- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.42ES-(2,2)448,1265
C14.432- 1+4 = Q8×C7⋊D4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.43ES-(2,2)448,1268
C14.442- 1+4 = C14.442- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.44ES-(2,2)448,1269
C14.452- 1+4 = C14.452- 1+4φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C14224C14.45ES-(2,2)448,1270
C14.462- 1+4 = C42.87D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.46ES-(2,2)448,969
C14.472- 1+4 = C42.89D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.47ES-(2,2)448,971
C14.482- 1+4 = C42.90D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.48ES-(2,2)448,972
C14.492- 1+4 = C42.91D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.49ES-(2,2)448,976
C14.502- 1+4 = C42.92D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.50ES-(2,2)448,979
C14.512- 1+4 = C42.94D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.51ES-(2,2)448,982
C14.522- 1+4 = C42.96D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.52ES-(2,2)448,984
C14.532- 1+4 = C42.98D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.53ES-(2,2)448,986
C14.542- 1+4 = C42.99D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.54ES-(2,2)448,987
C14.552- 1+4 = D4×Dic14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.55ES-(2,2)448,990
C14.562- 1+4 = C42.105D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.56ES-(2,2)448,994
C14.572- 1+4 = C42.106D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.57ES-(2,2)448,995
C14.582- 1+4 = C42.108D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.58ES-(2,2)448,999
C14.592- 1+4 = D28⋊24D4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.59ES-(2,2)448,1004
C14.602- 1+4 = Dic14⋊23D4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.60ES-(2,2)448,1005
C14.612- 1+4 = D4⋊6D28φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.61ES-(2,2)448,1008
C14.622- 1+4 = C42.115D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.62ES-(2,2)448,1014
C14.632- 1+4 = C42.118D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.63ES-(2,2)448,1017
C14.642- 1+4 = Dic14⋊10Q8φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14448C14.64ES-(2,2)448,1020
C14.652- 1+4 = Q8⋊6Dic14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14448C14.65ES-(2,2)448,1023
C14.662- 1+4 = Q8×D28φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.66ES-(2,2)448,1028
C14.672- 1+4 = C42.135D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.67ES-(2,2)448,1037
C14.682- 1+4 = C14.682- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.68ES-(2,2)448,1050
C14.692- 1+4 = Dic14⋊19D4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.69ES-(2,2)448,1051
C14.702- 1+4 = C14.352+ 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.70ES-(2,2)448,1055
C14.712- 1+4 = C14.712- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.71ES-(2,2)448,1056
C14.722- 1+4 = C14.722- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.72ES-(2,2)448,1061
C14.732- 1+4 = C14.732- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.73ES-(2,2)448,1064
C14.742- 1+4 = C14.492+ 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.74ES-(2,2)448,1074
C14.752- 1+4 = C14.752- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.75ES-(2,2)448,1076
C14.762- 1+4 = Dic14⋊21D4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.76ES-(2,2)448,1085
C14.772- 1+4 = C14.772- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.77ES-(2,2)448,1095
C14.782- 1+4 = C14.572+ 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.78ES-(2,2)448,1098
C14.792- 1+4 = C14.792- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.79ES-(2,2)448,1101
C14.802- 1+4 = C14.802- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.80ES-(2,2)448,1103
C14.812- 1+4 = C14.602+ 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.81ES-(2,2)448,1104
C14.822- 1+4 = C14.822- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.82ES-(2,2)448,1108
C14.832- 1+4 = C14.832- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.83ES-(2,2)448,1113
C14.842- 1+4 = C14.842- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.84ES-(2,2)448,1115
C14.852- 1+4 = C14.852- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.85ES-(2,2)448,1118
C14.862- 1+4 = C14.862- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.86ES-(2,2)448,1120
C14.872- 1+4 = C42.137D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.87ES-(2,2)448,1122
C14.882- 1+4 = C42.139D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.88ES-(2,2)448,1124
C14.892- 1+4 = C42.140D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.89ES-(2,2)448,1125
C14.902- 1+4 = C42.141D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.90ES-(2,2)448,1128
C14.912- 1+4 = Dic14⋊10D4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.91ES-(2,2)448,1130
C14.922- 1+4 = C42.144D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.92ES-(2,2)448,1135
C14.932- 1+4 = C42.145D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.93ES-(2,2)448,1137
C14.942- 1+4 = Dic14⋊7Q8φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14448C14.94ES-(2,2)448,1138
C14.952- 1+4 = C42.148D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.95ES-(2,2)448,1142
C14.962- 1+4 = C42.152D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.96ES-(2,2)448,1147
C14.972- 1+4 = C42.155D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.97ES-(2,2)448,1150
C14.982- 1+4 = C42.159D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.98ES-(2,2)448,1154
C14.992- 1+4 = C42.160D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.99ES-(2,2)448,1155
C14.1002- 1+4 = C42.161D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.100ES-(2,2)448,1160
C14.1012- 1+4 = C42.162D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.101ES-(2,2)448,1161
C14.1022- 1+4 = C42.164D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.102ES-(2,2)448,1163
C14.1032- 1+4 = C42.165D14φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.103ES-(2,2)448,1165
C14.1042- 1+4 = C14.1042- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.104ES-(2,2)448,1277
C14.1052- 1+4 = C14.1052- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.105ES-(2,2)448,1278
C14.1062- 1+4 = C14.1062- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.106ES-(2,2)448,1280
C14.1072- 1+4 = C14.1072- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.107ES-(2,2)448,1284
C14.1082- 1+4 = C14.1082- 1+4φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C14224C14.108ES-(2,2)448,1286
C14.1092- 1+4 = C7×C23.32C23central extension (φ=1)224C14.109ES-(2,2)448,1302
C14.1102- 1+4 = C7×C23.33C23central extension (φ=1)224C14.110ES-(2,2)448,1303
C14.1112- 1+4 = C7×C23.38C23central extension (φ=1)224C14.111ES-(2,2)448,1319
C14.1122- 1+4 = C7×C22.31C24central extension (φ=1)224C14.112ES-(2,2)448,1320
C14.1132- 1+4 = C7×C22.33C24central extension (φ=1)224C14.113ES-(2,2)448,1322
C14.1142- 1+4 = C7×C22.35C24central extension (φ=1)224C14.114ES-(2,2)448,1324
C14.1152- 1+4 = C7×C22.36C24central extension (φ=1)224C14.115ES-(2,2)448,1325
C14.1162- 1+4 = C7×C23.41C23central extension (φ=1)224C14.116ES-(2,2)448,1327
C14.1172- 1+4 = C7×D4⋊6D4central extension (φ=1)224C14.117ES-(2,2)448,1330
C14.1182- 1+4 = C7×Q8⋊5D4central extension (φ=1)224C14.118ES-(2,2)448,1331
C14.1192- 1+4 = C7×D4×Q8central extension (φ=1)224C14.119ES-(2,2)448,1332
C14.1202- 1+4 = C7×C22.46C24central extension (φ=1)224C14.120ES-(2,2)448,1335
C14.1212- 1+4 = C7×C22.50C24central extension (φ=1)224C14.121ES-(2,2)448,1339
C14.1222- 1+4 = C7×Q8⋊3Q8central extension (φ=1)448C14.122ES-(2,2)448,1340
C14.1232- 1+4 = C7×C22.56C24central extension (φ=1)224C14.123ES-(2,2)448,1345
C14.1242- 1+4 = C7×C22.57C24central extension (φ=1)224C14.124ES-(2,2)448,1346
C14.1252- 1+4 = C7×C22.58C24central extension (φ=1)448C14.125ES-(2,2)448,1347

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