Extensions 1→N→G→Q→1 with N=C6.Dic10 and Q=C2

Direct product G=N×Q with N=C6.Dic10 and Q=C2
dρLabelID
C2×C6.Dic10480C2xC6.Dic10480,621

Semidirect products G=N:Q with N=C6.Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.Dic101C2 = C4⋊Dic3⋊D5φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:1C2480,413
C6.Dic102C2 = D6⋊Dic10φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:2C2480,428
C6.Dic103C2 = D30.35D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:3C2480,431
C6.Dic104C2 = C60.68D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:4C2480,436
C6.Dic105C2 = (C2×C12).D10φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:5C2480,437
C6.Dic106C2 = (C4×Dic15)⋊C2φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:6C2480,442
C6.Dic107C2 = D6⋊Dic5.C2φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:7C2480,443
C6.Dic108C2 = C5⋊(C423S3)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:8C2480,448
C6.Dic109C2 = (C4×Dic5)⋊S3φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:9C2480,463
C6.Dic1010C2 = D3010Q8φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:10C2480,466
C6.Dic1011C2 = D5×Dic3⋊C4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:11C2480,468
C6.Dic1012C2 = D10.19(C4×S3)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:12C2480,470
C6.Dic1013C2 = Dic34D20φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:13C2480,471
C6.Dic1014C2 = D30.C2⋊C4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:14C2480,478
C6.Dic1015C2 = D30.Q8φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:15C2480,480
C6.Dic1016C2 = D61Dic10φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:16C2480,486
C6.Dic1017C2 = D101Dic6φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:17C2480,497
C6.Dic1018C2 = D102Dic6φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:18C2480,498
C6.Dic1019C2 = D303Q8φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:19C2480,500
C6.Dic1020C2 = S3×C4⋊Dic5φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:20C2480,502
C6.Dic1021C2 = D6.D20φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:21C2480,503
C6.Dic1022C2 = D304Q8φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:22C2480,505
C6.Dic1023C2 = D63Dic10φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:23C2480,508
C6.Dic1024C2 = D6⋊C4⋊D5φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:24C2480,523
C6.Dic1025C2 = D6⋊D20φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:25C2480,530
C6.Dic1026C2 = D6.9D20φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:26C2480,533
C6.Dic1027C2 = C23.26(S3×D5)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:27C2480,605
C6.Dic1028C2 = C23.13(S3×D5)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:28C2480,606
C6.Dic1029C2 = C23.14(S3×D5)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:29C2480,607
C6.Dic1030C2 = C6.(C2×D20)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:30C2480,613
C6.Dic1031C2 = C6.D4⋊D5φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:31C2480,622
C6.Dic1032C2 = C23.17(S3×D5)φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:32C2480,624
C6.Dic1033C2 = (C6×D5)⋊D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:33C2480,625
C6.Dic1034C2 = Dic5×C3⋊D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:34C2480,627
C6.Dic1035C2 = D307D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:35C2480,633
C6.Dic1036C2 = Dic1517D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:36C2480,636
C6.Dic1037C2 = D30.16D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:37C2480,638
C6.Dic1038C2 = (C2×C6)⋊D20φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:38C2480,645
C6.Dic1039C2 = (C2×C30)⋊Q8φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:39C2480,650
C6.Dic1040C2 = (C2×C10)⋊8Dic6φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:40C2480,651
C6.Dic1041C2 = Dic15.48D4φ: C2/C1C2 ⊆ Out C6.Dic10240C6.Dic10:41C2480,652
C6.Dic1042C2 = (S3×C20)⋊7C4φ: trivial image240C6.Dic10:42C2480,447
C6.Dic1043C2 = C4×C3⋊D20φ: trivial image240C6.Dic10:43C2480,519

Non-split extensions G=N.Q with N=C6.Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.Dic10.1C2 = Dic35Dic10φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.1C2480,400
C6.Dic10.2C2 = Dic151Q8φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.2C2480,403
C6.Dic10.3C2 = Dic3⋊Dic10φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.3C2480,404
C6.Dic10.4C2 = Dic5×Dic6φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.4C2480,408
C6.Dic10.5C2 = Dic5.2Dic6φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.5C2480,411
C6.Dic10.6C2 = Dic15.Q8φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.6C2480,412
C6.Dic10.7C2 = Dic3.Dic10φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.7C2480,419
C6.Dic10.8C2 = Dic157Q8φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.8C2480,420
C6.Dic10.9C2 = Dic3.2Dic10φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.9C2480,422
C6.Dic10.10C2 = Dic5.7Dic6φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.10C2480,454
C6.Dic10.11C2 = Dic3.3Dic10φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.11C2480,455
C6.Dic10.12C2 = Dic15.4Q8φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.12C2480,458
C6.Dic10.13C2 = C12.Dic10φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.13C2480,460
C6.Dic10.14C2 = C20.Dic6φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.14C2480,464
C6.Dic10.15C2 = C60.48D4φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.15C2480,465
C6.Dic10.16C2 = C204Dic6φ: C2/C1C2 ⊆ Out C6.Dic10480C6.Dic10.16C2480,545
C6.Dic10.17C2 = C4×C15⋊Q8φ: trivial image480C6.Dic10.17C2480,543

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