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Extensions 1→N→G→Q→1 with N=C12⋊Q8 and Q=C2

Direct product G=N×Q with N=C12⋊Q8 and Q=C2
dρLabelID
C2×C12⋊Q8192C2xC12:Q8192,1056

Semidirect products G=N:Q with N=C12⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊Q8⋊1C2 = Dic3.D8φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:1C2192,318
C12⋊Q8⋊2C2 = Dic3.SD16φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:2C2192,319
C12⋊Q8⋊3C2 = D4⋊Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:3C2192,320
C12⋊Q8⋊4C2 = C12⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:4C2192,324
C12⋊Q8⋊5C2 = (C2×C8).D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:5C2192,353
C12⋊Q8⋊6C2 = D12⋊Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:6C2192,429
C12⋊Q8⋊7C2 = D12⋊2Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:7C2192,449
C12⋊Q8⋊8C2 = C6.72+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:8C2192,1059
C12⋊Q8⋊9C2 = C6.2- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:9C2192,1066
C12⋊Q8⋊10C2 = C6.102+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:10C2192,1070
C12⋊Q8⋊11C2 = C42.90D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:11C2192,1078
C12⋊Q8⋊12C2 = C42.97D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:12C2192,1091
C12⋊Q8⋊13C2 = C42.98D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:13C2192,1092
C12⋊Q8⋊14C2 = D4×Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:14C2192,1096
C12⋊Q8⋊15C2 = D4⋊5Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:15C2192,1098
C12⋊Q8⋊16C2 = C42.115D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:16C2192,1120
C12⋊Q8⋊17C2 = C42.133D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:17C2192,1141
C12⋊Q8⋊18C2 = C12⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:18C2192,1155
C12⋊Q8⋊19C2 = C6.712- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:19C2192,1162
C12⋊Q8⋊20C2 = C6.732- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:20C2192,1170
C12⋊Q8⋊21C2 = C6.452+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:21C2192,1175
C12⋊Q8⋊22C2 = (Q8×Dic3)⋊C2φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:22C2192,1181
C12⋊Q8⋊23C2 = C6.752- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:23C2192,1182
C12⋊Q8⋊24C2 = C6.162- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:24C2192,1187
C12⋊Q8⋊25C2 = Dic6⋊21D4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:25C2192,1191
C12⋊Q8⋊26C2 = C6.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:26C2192,1194
C12⋊Q8⋊27C2 = C6.232- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:27C2192,1200
C12⋊Q8⋊28C2 = C6.242- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:28C2192,1202
C12⋊Q8⋊29C2 = C6.252- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:29C2192,1205
C12⋊Q8⋊30C2 = C6.792- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:30C2192,1207
C12⋊Q8⋊31C2 = C6.812- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:31C2192,1210
C12⋊Q8⋊32C2 = C6.822- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:32C2192,1214
C12⋊Q8⋊33C2 = C6.652+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:33C2192,1221
C12⋊Q8⋊34C2 = C42.236D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:34C2192,1247
C12⋊Q8⋊35C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:35C2192,1248
C12⋊Q8⋊36C2 = D12⋊7Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:36C2192,1249
C12⋊Q8⋊37C2 = C42.154D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:37C2192,1255
C12⋊Q8⋊38C2 = C42.157D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:38C2192,1258
C12⋊Q8⋊39C2 = C42.159D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:39C2192,1260
C12⋊Q8⋊40C2 = C42.160D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:40C2192,1261
C12⋊Q8⋊41C2 = C42.164D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:41C2192,1269
C12⋊Q8⋊42C2 = C42.165D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:42C2192,1271
C12⋊Q8⋊43C2 = S3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:43C2192,1282
C12⋊Q8⋊44C2 = D12⋊8Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:44C2192,1286
C12⋊Q8⋊45C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out C12⋊Q896C12:Q8:45C2192,1288
C12⋊Q8⋊46C2 = C42.88D6φ: trivial image96C12:Q8:46C2192,1076
C12⋊Q8⋊47C2 = C42.228D6φ: trivial image96C12:Q8:47C2192,1107
C12⋊Q8⋊48C2 = C42.232D6φ: trivial image96C12:Q8:48C2192,1137

Non-split extensions G=N.Q with N=C12⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊Q8.1C2 = Q8⋊2Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.1C2192,350
C12⋊Q8.2C2 = Dic3.1Q16φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.2C2192,351
C12⋊Q8.3C2 = Q8⋊3Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.3C2192,352
C12⋊Q8.4C2 = Dic6⋊Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.4C2192,413
C12⋊Q8.5C2 = C24⋊5Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.5C2192,414
C12⋊Q8.6C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.6C2192,415
C12⋊Q8.7C2 = C24⋊2Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.7C2192,433
C12⋊Q8.8C2 = Dic3.Q16φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.8C2192,434
C12⋊Q8.9C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.9C2192,435
C12⋊Q8.10C2 = Q8×Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.10C2192,1125
C12⋊Q8.11C2 = Q8⋊6Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.11C2192,1128
C12⋊Q8.12C2 = Dic6⋊7Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.12C2192,1244
C12⋊Q8.13C2 = Dic6⋊9Q8φ: C2/C1 → C2 ⊆ Out C12⋊Q8192C12:Q8.13C2192,1281

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