# Extensions 1→N→G→Q→1 with N=C23.21D10 and Q=C2

Direct product G=N×Q with N=C23.21D10 and Q=C2
dρLabelID
C2×C23.21D10160C2xC2^3.21D10320,1458

Semidirect products G=N:Q with N=C23.21D10 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.21D101C2 = C23.13D20φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:1C2320,364
C23.21D102C2 = C23.23D20φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:2C2320,740
C23.21D103C2 = C24.31D10φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:3C2320,1167
C23.21D104C2 = C10.52- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:4C2320,1185
C23.21D105C2 = C42.102D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:5C2320,1210
C23.21D106C2 = C42.105D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:6C2320,1213
C23.21D107C2 = C42.106D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:7C2320,1214
C23.21D108C2 = C42.229D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:8C2320,1229
C23.21D109C2 = C42.117D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:9C2320,1235
C23.21D1010C2 = C42.119D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:10C2320,1237
C23.21D1011C2 = C10.802- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:11C2320,1322
C23.21D1012C2 = C10.1222+ 1+4φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:12C2320,1330
C23.21D1013C2 = C24.72D10φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:13C2320,1463
C23.21D1014C2 = (C2×D20)⋊25C4φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10:14C2320,633
C23.21D1015C2 = (C2×D4).D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:15C2320,662
C23.21D1016C2 = C23.48D20φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:16C2320,758
C23.21D1017C2 = C23.20D20φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10:17C2320,766
C23.21D1018C2 = (D4×C10)⋊18C4φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:18C2320,842
C23.21D1019C2 = C20.(C2×D4)φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:19C2320,860
C23.21D1020C2 = (D4×C10)⋊21C4φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10:20C2320,863
C23.21D1021C2 = (D4×C10)⋊22C4φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10:21C2320,867
C23.21D1022C2 = C10.82+ 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:22C2320,1176
C23.21D1023C2 = D5×C42⋊C2φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:23C2320,1192
C23.21D1024C2 = C427D10φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:24C2320,1193
C23.21D1025C2 = C10.362+ 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:25C2320,1275
C23.21D1026C2 = C10.432+ 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:26C2320,1286
C23.21D1027C2 = C10.452+ 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:27C2320,1288
C23.21D1028C2 = C10.472+ 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:28C2320,1291
C23.21D1029C2 = C10.212- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:29C2320,1311
C23.21D1030C2 = C10.232- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:30C2320,1313
C23.21D1031C2 = C10.242- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:31C2320,1315
C23.21D1032C2 = C24.38D10φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:32C2320,1470
C23.21D1033C2 = C24.41D10φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:33C2320,1477
C23.21D1034C2 = C10.442- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:34C2320,1488
C23.21D1035C2 = C10.1052- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:35C2320,1497
C23.21D1036C2 = C4○D4×Dic5φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:36C2320,1498
C23.21D1037C2 = C10.1062- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10:37C2320,1499
C23.21D1038C2 = (C2×C20)⋊15D4φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:38C2320,1500
C23.21D1039C2 = C10.1462+ 1+4φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10:39C2320,1502
C23.21D1040C2 = C4×C4○D20φ: trivial image160C2^3.21D10:40C2320,1146

Non-split extensions G=N.Q with N=C23.21D10 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.21D10.1C2 = C426Dic5φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10.1C2320,81
C23.21D10.2C2 = C408C4⋊C2φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.2C2320,347
C23.21D10.3C2 = C23.10D20φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.3C2320,350
C23.21D10.4C2 = C20.65(C4⋊C4)φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.4C2320,729
C23.21D10.5C2 = C23.22D20φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.5C2320,733
C23.21D10.6C2 = C42.274D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.6C2320,1142
C23.21D10.7C2 = C421Dic5φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10.7C2320,89
C23.21D10.8C2 = C20.33C42φ: C2/C1C2 ⊆ Out C23.21D1080C2^3.21D10.8C2320,113
C23.21D10.9C2 = (C2×C40)⋊C4φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10.9C2320,114
C23.21D10.10C2 = C23.9D20φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10.10C2320,115
C23.21D10.11C2 = M4(2)⋊4Dic5φ: C2/C1C2 ⊆ Out C23.21D10804C2^3.21D10.11C2320,117
C23.21D10.12C2 = C20.47(C4⋊C4)φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.12C2320,591
C23.21D10.13C2 = C20.76(C4⋊C4)φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.13C2320,625
C23.21D10.14C2 = C10.(C4○D8)φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.14C2320,672
C23.21D10.15C2 = C20.51(C4⋊C4)φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.15C2320,746
C23.21D10.16C2 = C23.46D20φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.16C2320,747
C23.21D10.17C2 = C23.47D20φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.17C2320,748
C23.21D10.18C2 = C20.37C42φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.18C2320,749
C23.21D10.19C2 = (Q8×C10)⋊16C4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.19C2320,852
C23.21D10.20C2 = C10.12- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.20C2320,1172
C23.21D10.21C2 = C42.87D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.21C2320,1188
C23.21D10.22C2 = C42.88D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.22C2320,1189
C23.21D10.23C2 = C42.90D10φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.23C2320,1191
C23.21D10.24C2 = C10.152- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.24C2320,1297
C23.21D10.25C2 = C10.422- 1+4φ: C2/C1C2 ⊆ Out C23.21D10160C2^3.21D10.25C2320,1484
C23.21D10.26C2 = C20.42C42φ: trivial image160C2^3.21D10.26C2320,728

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