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Extensions 1→N→G→Q→1 with N=C4.D12 and Q=C2

Direct product G=N×Q with N=C4.D12 and Q=C2
dρLabelID
C2×C4.D1296C2xC4.D12192,1068

Semidirect products G=N:Q with N=C4.D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.D12⋊1C2 = D6⋊5SD16φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:1C2192,335
C4.D12⋊2C2 = D6⋊SD16φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:2C2192,337
C4.D12⋊3C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:3C2192,339
C4.D12⋊4C2 = D4.D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:4C2192,342
C4.D12⋊5C2 = Q8.11D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:5C2192,367
C4.D12⋊6C2 = C8⋊8D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:6C2192,423
C4.D12⋊7C2 = C8⋊3D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:7C2192,445
C4.D12⋊8C2 = C6.2+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:8C2192,1069
C4.D12⋊9C2 = C6.102+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:9C2192,1070
C4.D12⋊10C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:10C2192,1072
C4.D12⋊11C2 = C42.92D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:11C2192,1085
C4.D12⋊12C2 = C42.94D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:12C2192,1088
C4.D12⋊13C2 = C42.98D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:13C2192,1092
C4.D12⋊14C2 = D4⋊5D12φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:14C2192,1113
C4.D12⋊15C2 = D4⋊6D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:15C2192,1114
C4.D12⋊16C2 = C42.115D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:16C2192,1120
C4.D12⋊17C2 = Q8×D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:17C2192,1134
C4.D12⋊18C2 = Q8⋊6D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:18C2192,1135
C4.D12⋊19C2 = Dic6⋊19D4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:19C2192,1157
C4.D12⋊20C2 = C4⋊C4⋊21D6φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:20C2192,1165
C4.D12⋊21C2 = C6.722- 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:21C2192,1167
C4.D12⋊22C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:22C2192,1171
C4.D12⋊23C2 = S3×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:23C2192,1185
C4.D12⋊24C2 = C6.162- 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:24C2192,1187
C4.D12⋊25C2 = D12⋊22D4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:25C2192,1190
C4.D12⋊26C2 = Dic6⋊21D4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:26C2192,1191
C4.D12⋊27C2 = C6.512+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:27C2192,1193
C4.D12⋊28C2 = C6.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:28C2192,1194
C4.D12⋊29C2 = C6.242- 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:29C2192,1202
C4.D12⋊30C2 = C6.592+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:30C2192,1206
C4.D12⋊31C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:31C2192,1216
C4.D12⋊32C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:32C2192,1217
C4.D12⋊33C2 = C6.852- 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:33C2192,1224
C4.D12⋊34C2 = C6.692+ 1+4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:34C2192,1226
C4.D12⋊35C2 = D12⋊7Q8φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:35C2192,1249
C4.D12⋊36C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:36C2192,1250
C4.D12⋊37C2 = C42.150D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:37C2192,1251
C4.D12⋊38C2 = C42.152D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:38C2192,1253
C4.D12⋊39C2 = C42.157D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:39C2192,1258
C4.D12⋊40C2 = C42⋊26D6φ: C2/C1 → C2 ⊆ Out C4.D1248C4.D12:40C2192,1264
C4.D12⋊41C2 = C42.161D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:41C2192,1266
C4.D12⋊42C2 = C42.164D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:42C2192,1269
C4.D12⋊43C2 = C42.165D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:43C2192,1271
C4.D12⋊44C2 = D12⋊9Q8φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:44C2192,1289
C4.D12⋊45C2 = C42.177D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:45C2192,1291
C4.D12⋊46C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12:46C2192,1292
C4.D12⋊47C2 = C42⋊10D6φ: trivial image48C4.D12:47C2192,1083
C4.D12⋊48C2 = C42.229D6φ: trivial image96C4.D12:48C2192,1116

Non-split extensions G=N.Q with N=C4.D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.D12.1C2 = D6⋊Q16φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.1C2192,368
C4.D12.2C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.2C2192,372
C4.D12.3C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.3C2192,375
C4.D12.4C2 = D6.2SD16φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.4C2192,421
C4.D12.5C2 = C8.2D12φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.5C2192,426
C4.D12.6C2 = C6.(C4○D8)φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.6C2192,427
C4.D12.7C2 = D6.2Q16φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.7C2192,443
C4.D12.8C2 = D6⋊2Q16φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.8C2192,446
C4.D12.9C2 = C2.D8⋊7S3φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.9C2192,447
C4.D12.10C2 = C42.134D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.10C2192,1142
C4.D12.11C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.11C2192,1248
C4.D12.12C2 = C42.156D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.12C2192,1257
C4.D12.13C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out C4.D1296C4.D12.13C2192,1287
C4.D12.14C2 = C42.232D6φ: trivial image96C4.D12.14C2192,1137

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