# Extensions 1→N→G→Q→1 with N=C23.21D14 and Q=C2

Direct product G=N×Q with N=C23.21D14 and Q=C2
dρLabelID
C2×C23.21D14224C2xC2^3.21D14448,1239

Semidirect products G=N:Q with N=C23.21D14 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.21D141C2 = C23.13D28φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:1C2448,271
C23.21D142C2 = C23.23D28φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:2C2448,647
C23.21D143C2 = C24.31D14φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:3C2448,948
C23.21D144C2 = C14.52- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:4C2448,966
C23.21D145C2 = C42.102D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:5C2448,991
C23.21D146C2 = C42.105D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:6C2448,994
C23.21D147C2 = C42.106D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:7C2448,995
C23.21D148C2 = C42.229D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:8C2448,1010
C23.21D149C2 = C42.117D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:9C2448,1016
C23.21D1410C2 = C42.119D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:10C2448,1018
C23.21D1411C2 = C14.802- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:11C2448,1103
C23.21D1412C2 = C14.1222+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:12C2448,1111
C23.21D1413C2 = C24.72D14φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:13C2448,1244
C23.21D1414C2 = (C2×D28)⋊13C4φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14:14C2448,540
C23.21D1415C2 = (C2×D4).D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:15C2448,569
C23.21D1416C2 = C23.48D28φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:16C2448,665
C23.21D1417C2 = C23.20D28φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14:17C2448,673
C23.21D1418C2 = (D4×C14)⋊6C4φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:18C2448,749
C23.21D1419C2 = C28.(C2×D4)φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:19C2448,767
C23.21D1420C2 = (D4×C14)⋊9C4φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14:20C2448,770
C23.21D1421C2 = (D4×C14)⋊10C4φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14:21C2448,774
C23.21D1422C2 = C14.82+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:22C2448,957
C23.21D1423C2 = D7×C42⋊C2φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:23C2448,973
C23.21D1424C2 = C427D14φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:24C2448,974
C23.21D1425C2 = C14.712- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:25C2448,1056
C23.21D1426C2 = C14.432+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:26C2448,1067
C23.21D1427C2 = C14.452+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:27C2448,1069
C23.21D1428C2 = C14.472+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:28C2448,1072
C23.21D1429C2 = C14.212- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:29C2448,1092
C23.21D1430C2 = C14.232- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:30C2448,1094
C23.21D1431C2 = C14.242- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:31C2448,1096
C23.21D1432C2 = C24.38D14φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:32C2448,1251
C23.21D1433C2 = C24.41D14φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:33C2448,1258
C23.21D1434C2 = C14.442- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:34C2448,1269
C23.21D1435C2 = C14.1052- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:35C2448,1278
C23.21D1436C2 = C4○D4×Dic7φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:36C2448,1279
C23.21D1437C2 = C14.1062- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14:37C2448,1280
C23.21D1438C2 = (C2×C28)⋊15D4φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:38C2448,1281
C23.21D1439C2 = C14.1462+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14:39C2448,1283
C23.21D1440C2 = C4×C4○D28φ: trivial image224C2^3.21D14:40C2448,927

Non-split extensions G=N.Q with N=C23.21D14 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.21D14.1C2 = C28.8C42φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14.1C2448,80
C23.21D14.2C2 = C56⋊C4⋊C2φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.2C2448,254
C23.21D14.3C2 = C23.10D28φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.3C2448,257
C23.21D14.4C2 = Dic7⋊C8⋊C2φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.4C2448,636
C23.21D14.5C2 = C23.22D28φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.5C2448,640
C23.21D14.6C2 = C42.274D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.6C2448,923
C23.21D14.7C2 = C42⋊Dic7φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14.7C2448,88
C23.21D14.8C2 = C28.3C42φ: C2/C1C2 ⊆ Out C23.21D14112C2^3.21D14.8C2448,112
C23.21D14.9C2 = (C2×C56)⋊C4φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14.9C2448,113
C23.21D14.10C2 = C23.9D28φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14.10C2448,114
C23.21D14.11C2 = M4(2)⋊4Dic7φ: C2/C1C2 ⊆ Out C23.21D141124C2^3.21D14.11C2448,116
C23.21D14.12C2 = C4.Dic7⋊C4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.12C2448,498
C23.21D14.13C2 = C28.45(C4⋊C4)φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.13C2448,532
C23.21D14.14C2 = C14.(C4○D8)φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.14C2448,579
C23.21D14.15C2 = C28.439(C2×D4)φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.15C2448,653
C23.21D14.16C2 = C23.46D28φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.16C2448,654
C23.21D14.17C2 = C23.47D28φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.17C2448,655
C23.21D14.18C2 = C28.7C42φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.18C2448,656
C23.21D14.19C2 = (Q8×C14)⋊6C4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.19C2448,759
C23.21D14.20C2 = C14.72+ 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.20C2448,953
C23.21D14.21C2 = C42.87D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.21C2448,969
C23.21D14.22C2 = C42.88D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.22C2448,970
C23.21D14.23C2 = C42.90D14φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.23C2448,972
C23.21D14.24C2 = C14.152- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.24C2448,1078
C23.21D14.25C2 = C14.422- 1+4φ: C2/C1C2 ⊆ Out C23.21D14224C2^3.21D14.25C2448,1265
C23.21D14.26C2 = C28.12C42φ: trivial image224C2^3.21D14.26C2448,635

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