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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+4)224C14xES-(2,2)448,1390

Semidirect products G=N:Q with N=C14 and Q=2- (1+4)
extensionφ:Q→Aut NdρLabelID
C1412- (1+4) = C2×Q8.10D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14:1ES-(2,2)448,1374
C1422- (1+4) = C2×D4.10D14φ: 2- (1+4)/C4○D4C2 ⊆ 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) = C14.12- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.1ES-(2,2)448,953
C14.22- (1+4) = C14.22- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.2ES-(2,2)448,957
C14.32- (1+4) = C14.2- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.3ES-(2,2)448,960
C14.42- (1+4) = C14.2+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.4ES-(2,2)448,963
C14.52- (1+4) = C14.52- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.5ES-(2,2)448,966
C14.62- (1+4) = C14.62- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.6ES-(2,2)448,968
C14.72- (1+4) = C42.122D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.7ES-(2,2)448,1021
C14.82- (1+4) = Q85Dic14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14448C14.8ES-(2,2)448,1022
C14.92- (1+4) = C42.125D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.9ES-(2,2)448,1025
C14.102- (1+4) = C42.126D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.10ES-(2,2)448,1027
C14.112- (1+4) = Q85D28φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.11ES-(2,2)448,1029
C14.122- (1+4) = C42.132D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.12ES-(2,2)448,1034
C14.132- (1+4) = C42.133D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.13ES-(2,2)448,1035
C14.142- (1+4) = C42.134D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.14ES-(2,2)448,1036
C14.152- (1+4) = C14.152- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.15ES-(2,2)448,1078
C14.162- (1+4) = C14.162- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.16ES-(2,2)448,1081
C14.172- (1+4) = C14.172- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.17ES-(2,2)448,1082
C14.182- (1+4) = D2822D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.18ES-(2,2)448,1084
C14.192- (1+4) = Dic1422D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.19ES-(2,2)448,1086
C14.202- (1+4) = C14.542+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.20ES-(2,2)448,1091
C14.212- (1+4) = C14.212- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.21ES-(2,2)448,1092
C14.222- (1+4) = C14.222- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.22ES-(2,2)448,1093
C14.232- (1+4) = C14.232- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.23ES-(2,2)448,1094
C14.242- (1+4) = C14.242- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.24ES-(2,2)448,1096
C14.252- (1+4) = C14.252- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.25ES-(2,2)448,1099
C14.262- (1+4) = C14.262- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.26ES-(2,2)448,1100
C14.272- (1+4) = C42.147D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14448C14.27ES-(2,2)448,1139
C14.282- (1+4) = C42.150D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.28ES-(2,2)448,1145
C14.292- (1+4) = C42.151D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.29ES-(2,2)448,1146
C14.302- (1+4) = C42.154D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.30ES-(2,2)448,1149
C14.312- (1+4) = C42.157D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.31ES-(2,2)448,1152
C14.322- (1+4) = C42.158D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.32ES-(2,2)448,1153
C14.332- (1+4) = Dic148Q8φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14448C14.33ES-(2,2)448,1174
C14.342- (1+4) = C42.171D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.34ES-(2,2)448,1177
C14.352- (1+4) = D2812D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.35ES-(2,2)448,1179
C14.362- (1+4) = D288Q8φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.36ES-(2,2)448,1180
C14.372- (1+4) = C42.174D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.37ES-(2,2)448,1182
C14.382- (1+4) = C42.176D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.38ES-(2,2)448,1184
C14.392- (1+4) = C42.177D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.39ES-(2,2)448,1185
C14.402- (1+4) = C42.178D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.40ES-(2,2)448,1186
C14.412- (1+4) = C42.180D14φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.41ES-(2,2)448,1188
C14.422- (1+4) = C14.422- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.42ES-(2,2)448,1265
C14.432- (1+4) = Q8×C7⋊D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.43ES-(2,2)448,1268
C14.442- (1+4) = C14.442- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.44ES-(2,2)448,1269
C14.452- (1+4) = C14.452- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C14224C14.45ES-(2,2)448,1270
C14.462- (1+4) = C42.87D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.46ES-(2,2)448,969
C14.472- (1+4) = C42.89D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.47ES-(2,2)448,971
C14.482- (1+4) = C42.90D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.48ES-(2,2)448,972
C14.492- (1+4) = C42.91D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.49ES-(2,2)448,976
C14.502- (1+4) = C42.92D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.50ES-(2,2)448,979
C14.512- (1+4) = C42.94D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.51ES-(2,2)448,982
C14.522- (1+4) = C42.96D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.52ES-(2,2)448,984
C14.532- (1+4) = C42.98D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.53ES-(2,2)448,986
C14.542- (1+4) = C42.99D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.54ES-(2,2)448,987
C14.552- (1+4) = D4×Dic14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.55ES-(2,2)448,990
C14.562- (1+4) = C42.105D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.56ES-(2,2)448,994
C14.572- (1+4) = C42.106D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.57ES-(2,2)448,995
C14.582- (1+4) = C42.108D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.58ES-(2,2)448,999
C14.592- (1+4) = D2824D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.59ES-(2,2)448,1004
C14.602- (1+4) = Dic1423D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.60ES-(2,2)448,1005
C14.612- (1+4) = D46D28φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.61ES-(2,2)448,1008
C14.622- (1+4) = C42.115D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.62ES-(2,2)448,1014
C14.632- (1+4) = C42.118D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.63ES-(2,2)448,1017
C14.642- (1+4) = Dic1410Q8φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14448C14.64ES-(2,2)448,1020
C14.652- (1+4) = Q86Dic14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14448C14.65ES-(2,2)448,1023
C14.662- (1+4) = Q8×D28φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.66ES-(2,2)448,1028
C14.672- (1+4) = C42.135D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.67ES-(2,2)448,1037
C14.682- (1+4) = C14.322+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.68ES-(2,2)448,1050
C14.692- (1+4) = Dic1419D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.69ES-(2,2)448,1051
C14.702- (1+4) = C14.352+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.70ES-(2,2)448,1055
C14.712- (1+4) = C14.712- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.71ES-(2,2)448,1056
C14.722- (1+4) = C14.722- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.72ES-(2,2)448,1061
C14.732- (1+4) = C14.732- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.73ES-(2,2)448,1064
C14.742- (1+4) = C14.742- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.74ES-(2,2)448,1074
C14.752- (1+4) = C14.502+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.75ES-(2,2)448,1076
C14.762- (1+4) = Dic1421D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.76ES-(2,2)448,1085
C14.772- (1+4) = C14.772- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.77ES-(2,2)448,1095
C14.782- (1+4) = C14.782- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.78ES-(2,2)448,1098
C14.792- (1+4) = C14.792- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.79ES-(2,2)448,1101
C14.802- (1+4) = C14.802- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.80ES-(2,2)448,1103
C14.812- (1+4) = C14.812- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.81ES-(2,2)448,1104
C14.822- (1+4) = C14.822- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.82ES-(2,2)448,1108
C14.832- (1+4) = C14.632+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.83ES-(2,2)448,1113
C14.842- (1+4) = C14.652+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.84ES-(2,2)448,1115
C14.852- (1+4) = C14.852- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.85ES-(2,2)448,1118
C14.862- (1+4) = C14.692+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.86ES-(2,2)448,1120
C14.872- (1+4) = C42.137D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.87ES-(2,2)448,1122
C14.882- (1+4) = C42.139D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.88ES-(2,2)448,1124
C14.892- (1+4) = C42.140D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.89ES-(2,2)448,1125
C14.902- (1+4) = C42.141D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.90ES-(2,2)448,1128
C14.912- (1+4) = Dic1410D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.91ES-(2,2)448,1130
C14.922- (1+4) = C42.144D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.92ES-(2,2)448,1135
C14.932- (1+4) = C42.145D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.93ES-(2,2)448,1137
C14.942- (1+4) = Dic147Q8φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14448C14.94ES-(2,2)448,1138
C14.952- (1+4) = C42.148D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.95ES-(2,2)448,1142
C14.962- (1+4) = C42.152D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.96ES-(2,2)448,1147
C14.972- (1+4) = C42.155D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.97ES-(2,2)448,1150
C14.982- (1+4) = C42.159D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.98ES-(2,2)448,1154
C14.992- (1+4) = C42.160D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.99ES-(2,2)448,1155
C14.1002- (1+4) = C42.161D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.100ES-(2,2)448,1160
C14.1012- (1+4) = C42.162D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.101ES-(2,2)448,1161
C14.1022- (1+4) = C42.164D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.102ES-(2,2)448,1163
C14.1032- (1+4) = C42.165D14φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.103ES-(2,2)448,1165
C14.1042- (1+4) = C14.1042- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.104ES-(2,2)448,1277
C14.1052- (1+4) = C14.1052- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.105ES-(2,2)448,1278
C14.1062- (1+4) = C14.1442+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.106ES-(2,2)448,1280
C14.1072- (1+4) = C14.1072- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C14224C14.107ES-(2,2)448,1284
C14.1082- (1+4) = C14.1082- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ 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×D46D4central extension (φ=1)224C14.117ES-(2,2)448,1330
C14.1182- (1+4) = C7×Q85D4central 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×Q83Q8central 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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