# 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.D121C2 = D65SD16φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:1C2192,335
C4.D122C2 = D6⋊SD16φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:2C2192,337
C4.D123C2 = C3⋊C81D4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:3C2192,339
C4.D124C2 = D4.D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:4C2192,342
C4.D125C2 = Q8.11D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:5C2192,367
C4.D126C2 = C88D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:6C2192,423
C4.D127C2 = C83D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:7C2192,445
C4.D128C2 = C6.2+ 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:8C2192,1069
C4.D129C2 = C6.102+ 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:9C2192,1070
C4.D1210C2 = C6.52- 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:10C2192,1072
C4.D1211C2 = C42.92D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:11C2192,1085
C4.D1212C2 = C42.94D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:12C2192,1088
C4.D1213C2 = C42.98D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:13C2192,1092
C4.D1214C2 = D45D12φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:14C2192,1113
C4.D1215C2 = D46D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:15C2192,1114
C4.D1216C2 = C42.115D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:16C2192,1120
C4.D1217C2 = Q8×D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:17C2192,1134
C4.D1218C2 = Q86D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:18C2192,1135
C4.D1219C2 = Dic619D4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:19C2192,1157
C4.D1220C2 = C4⋊C421D6φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:20C2192,1165
C4.D1221C2 = C6.722- 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:21C2192,1167
C4.D1222C2 = D1220D4φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:22C2192,1171
C4.D1223C2 = S3×C22⋊Q8φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:23C2192,1185
C4.D1224C2 = C6.162- 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:24C2192,1187
C4.D1225C2 = D1222D4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:25C2192,1190
C4.D1226C2 = Dic621D4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:26C2192,1191
C4.D1227C2 = C6.512+ 1+4φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:27C2192,1193
C4.D1228C2 = C6.1182+ 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:28C2192,1194
C4.D1229C2 = C6.242- 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:29C2192,1202
C4.D1230C2 = C6.592+ 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:30C2192,1206
C4.D1231C2 = C6.612+ 1+4φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:31C2192,1216
C4.D1232C2 = C6.1222+ 1+4φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:32C2192,1217
C4.D1233C2 = C6.852- 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:33C2192,1224
C4.D1234C2 = C6.692+ 1+4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:34C2192,1226
C4.D1235C2 = D127Q8φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:35C2192,1249
C4.D1236C2 = C42.237D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:36C2192,1250
C4.D1237C2 = C42.150D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:37C2192,1251
C4.D1238C2 = C42.152D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:38C2192,1253
C4.D1239C2 = C42.157D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:39C2192,1258
C4.D1240C2 = C4226D6φ: C2/C1C2 ⊆ Out C4.D1248C4.D12:40C2192,1264
C4.D1241C2 = C42.161D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:41C2192,1266
C4.D1242C2 = C42.164D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:42C2192,1269
C4.D1243C2 = C42.165D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:43C2192,1271
C4.D1244C2 = D129Q8φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:44C2192,1289
C4.D1245C2 = C42.177D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:45C2192,1291
C4.D1246C2 = C42.178D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12:46C2192,1292
C4.D1247C2 = C4210D6φ: trivial image48C4.D12:47C2192,1083
C4.D1248C2 = 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/C1C2 ⊆ Out C4.D1296C4.D12.1C2192,368
C4.D12.2C2 = D61Q16φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.2C2192,372
C4.D12.3C2 = C3⋊C8.D4φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.3C2192,375
C4.D12.4C2 = D6.2SD16φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.4C2192,421
C4.D12.5C2 = C8.2D12φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.5C2192,426
C4.D12.6C2 = C6.(C4○D8)φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.6C2192,427
C4.D12.7C2 = D6.2Q16φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.7C2192,443
C4.D12.8C2 = D62Q16φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.8C2192,446
C4.D12.9C2 = C2.D87S3φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.9C2192,447
C4.D12.10C2 = C42.134D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.10C2192,1142
C4.D12.11C2 = C42.148D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.11C2192,1248
C4.D12.12C2 = C42.156D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.12C2192,1257
C4.D12.13C2 = C42.241D6φ: C2/C1C2 ⊆ Out C4.D1296C4.D12.13C2192,1287
C4.D12.14C2 = C42.232D6φ: trivial image96C4.D12.14C2192,1137

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