Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

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.Dic10⋊1C2 = C4⋊Dic3⋊D5φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:1C2480,413
C6.Dic10⋊2C2 = D6⋊Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:2C2480,428
C6.Dic10⋊3C2 = D30.35D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:3C2480,431
C6.Dic10⋊4C2 = C60.68D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:4C2480,436
C6.Dic10⋊5C2 = (C2×C12).D10φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:5C2480,437
C6.Dic10⋊6C2 = (C4×Dic15)⋊C2φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:6C2480,442
C6.Dic10⋊7C2 = D6⋊Dic5.C2φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:7C2480,443
C6.Dic10⋊8C2 = C5⋊(C42⋊3S3)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:8C2480,448
C6.Dic10⋊9C2 = (C4×Dic5)⋊S3φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:9C2480,463
C6.Dic10⋊10C2 = D30⋊10Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:10C2480,466
C6.Dic10⋊11C2 = D5×Dic3⋊C4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:11C2480,468
C6.Dic10⋊12C2 = D10.19(C4×S3)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:12C2480,470
C6.Dic10⋊13C2 = Dic3⋊4D20φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:13C2480,471
C6.Dic10⋊14C2 = D30.C2⋊C4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:14C2480,478
C6.Dic10⋊15C2 = D30.Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:15C2480,480
C6.Dic10⋊16C2 = D6⋊1Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:16C2480,486
C6.Dic10⋊17C2 = D10⋊1Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:17C2480,497
C6.Dic10⋊18C2 = D10⋊2Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:18C2480,498
C6.Dic10⋊19C2 = D30⋊3Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:19C2480,500
C6.Dic10⋊20C2 = S3×C4⋊Dic5φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:20C2480,502
C6.Dic10⋊21C2 = D6.D20φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:21C2480,503
C6.Dic10⋊22C2 = D30⋊4Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:22C2480,505
C6.Dic10⋊23C2 = D6⋊3Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:23C2480,508
C6.Dic10⋊24C2 = D6⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:24C2480,523
C6.Dic10⋊25C2 = D6⋊D20φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:25C2480,530
C6.Dic10⋊26C2 = D6.9D20φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:26C2480,533
C6.Dic10⋊27C2 = C23.26(S3×D5)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:27C2480,605
C6.Dic10⋊28C2 = C23.13(S3×D5)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:28C2480,606
C6.Dic10⋊29C2 = C23.14(S3×D5)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:29C2480,607
C6.Dic10⋊30C2 = C6.(C2×D20)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:30C2480,613
C6.Dic10⋊31C2 = C6.D4⋊D5φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:31C2480,622
C6.Dic10⋊32C2 = C23.17(S3×D5)φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:32C2480,624
C6.Dic10⋊33C2 = (C6×D5)⋊D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:33C2480,625
C6.Dic10⋊34C2 = Dic5×C3⋊D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:34C2480,627
C6.Dic10⋊35C2 = D30⋊7D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:35C2480,633
C6.Dic10⋊36C2 = Dic15⋊17D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:36C2480,636
C6.Dic10⋊37C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:37C2480,638
C6.Dic10⋊38C2 = (C2×C6)⋊D20φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:38C2480,645
C6.Dic10⋊39C2 = (C2×C30)⋊Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:39C2480,650
C6.Dic10⋊40C2 = (C2×C10)⋊8Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:40C2480,651
C6.Dic10⋊41C2 = Dic15.48D4φ: C2/C1 → C2 ⊆ Out C6.Dic10240C6.Dic10:41C2480,652
C6.Dic10⋊42C2 = (S3×C20)⋊7C4φ: trivial image240C6.Dic10:42C2480,447
C6.Dic10⋊43C2 = 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 = Dic3⋊5Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.1C2480,400
C6.Dic10.2C2 = Dic15⋊1Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.2C2480,403
C6.Dic10.3C2 = Dic3⋊Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.3C2480,404
C6.Dic10.4C2 = Dic5×Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.4C2480,408
C6.Dic10.5C2 = Dic5.2Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.5C2480,411
C6.Dic10.6C2 = Dic15.Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.6C2480,412
C6.Dic10.7C2 = Dic3.Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.7C2480,419
C6.Dic10.8C2 = Dic15⋊7Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.8C2480,420
C6.Dic10.9C2 = Dic3.2Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.9C2480,422
C6.Dic10.10C2 = Dic5.7Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.10C2480,454
C6.Dic10.11C2 = Dic3.3Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.11C2480,455
C6.Dic10.12C2 = Dic15.4Q8φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.12C2480,458
C6.Dic10.13C2 = C12.Dic10φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.13C2480,460
C6.Dic10.14C2 = C20.Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.14C2480,464
C6.Dic10.15C2 = C60.48D4φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.15C2480,465
C6.Dic10.16C2 = C20⋊4Dic6φ: C2/C1 → C2 ⊆ Out C6.Dic10480C6.Dic10.16C2480,545
C6.Dic10.17C2 = C4×C15⋊Q8φ: trivial image480C6.Dic10.17C2480,543

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁