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

Extensions 1→N→G→Q→1 with N=Dic15⋊5C4 and Q=C2

Direct product G=N×Q with N=Dic15⋊5C4 and Q=C2
dρLabelID
C2×Dic15⋊5C4480C2xDic15:5C4480,620

Semidirect products G=N:Q with N=Dic15⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic15⋊5C4⋊1C2 = C60⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:1C2480,418
Dic15⋊5C4⋊2C2 = Dic3⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:2C2480,424
Dic15⋊5C4⋊3C2 = D6⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:3C2480,427
Dic15⋊5C4⋊4C2 = D30.D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:4C2480,432
Dic15⋊5C4⋊5C2 = C60.67D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:5C2480,435
Dic15⋊5C4⋊6C2 = (C2×C60).C22φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:6C2480,438
Dic15⋊5C4⋊7C2 = (C4×Dic3)⋊D5φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:7C2480,439
Dic15⋊5C4⋊8C2 = C60.46D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:8C2480,445
Dic15⋊5C4⋊9C2 = C5⋊(C42⋊3S3)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:9C2480,448
Dic15⋊5C4⋊10C2 = D30⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:10C2480,453
Dic15⋊5C4⋊11C2 = C10.D4⋊S3φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:11C2480,456
Dic15⋊5C4⋊12C2 = (C4×Dic5)⋊S3φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:12C2480,463
Dic15⋊5C4⋊13C2 = D5×Dic3⋊C4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:13C2480,468
Dic15⋊5C4⋊14C2 = (D5×Dic3)⋊C4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:14C2480,469
Dic15⋊5C4⋊15C2 = D6.(C4×D5)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:15C2480,474
Dic15⋊5C4⋊16C2 = S3×C10.D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:16C2480,475
Dic15⋊5C4⋊17C2 = D30⋊Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:17C2480,487
Dic15⋊5C4⋊18C2 = D30⋊3Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:18C2480,500
Dic15⋊5C4⋊19C2 = Dic15.D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:19C2480,506
Dic15⋊5C4⋊20C2 = D10⋊4Dic6φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:20C2480,507
Dic15⋊5C4⋊21C2 = D6⋊3Dic10φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:21C2480,508
Dic15⋊5C4⋊22C2 = D6⋊4Dic10φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:22C2480,512
Dic15⋊5C4⋊23C2 = D30.2Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:23C2480,513
Dic15⋊5C4⋊24C2 = D30.7D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:24C2480,514
Dic15⋊5C4⋊25C2 = Dic15⋊9D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:25C2480,518
Dic15⋊5C4⋊26C2 = D30⋊12D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:26C2480,537
Dic15⋊5C4⋊27C2 = C23.13(S3×D5)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:27C2480,606
Dic15⋊5C4⋊28C2 = C23.14(S3×D5)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:28C2480,607
Dic15⋊5C4⋊29C2 = C23.48(S3×D5)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:29C2480,608
Dic15⋊5C4⋊30C2 = (C2×C30).D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:30C2480,612
Dic15⋊5C4⋊31C2 = C30.(C2×D4)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:31C2480,615
Dic15⋊5C4⋊32C2 = C23.17(S3×D5)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:32C2480,624
Dic15⋊5C4⋊33C2 = Dic15⋊3D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:33C2480,626
Dic15⋊5C4⋊34C2 = C15⋊26(C4×D4)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:34C2480,628
Dic15⋊5C4⋊35C2 = (S3×C10).D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:35C2480,631
Dic15⋊5C4⋊36C2 = C15⋊28(C4×D4)φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:36C2480,632
Dic15⋊5C4⋊37C2 = Dic15⋊4D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:37C2480,634
Dic15⋊5C4⋊38C2 = Dic15⋊18D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:38C2480,647
Dic15⋊5C4⋊39C2 = (C2×C30)⋊Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:39C2480,650
Dic15⋊5C4⋊40C2 = (C2×C10)⋊8Dic6φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:40C2480,651
Dic15⋊5C4⋊41C2 = Dic15.48D4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4240Dic15:5C4:41C2480,652
Dic15⋊5C4⋊42C2 = (C4×D15)⋊10C4φ: trivial image240Dic15:5C4:42C2480,462
Dic15⋊5C4⋊43C2 = C4×C15⋊D4φ: trivial image240Dic15:5C4:43C2480,515

Non-split extensions G=N.Q with N=Dic15⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic15⋊5C4.1C2 = Dic15⋊5Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.1C2480,401
Dic15⋊5C4.2C2 = Dic15⋊1Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.2C2480,403
Dic15⋊5C4.3C2 = Dic15⋊Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.3C2480,405
Dic15⋊5C4.4C2 = Dic30⋊17C4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.4C2480,409
Dic15⋊5C4.5C2 = Dic5.1Dic6φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.5C2480,410
Dic15⋊5C4.6C2 = Dic15.Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.6C2480,412
Dic15⋊5C4.7C2 = Dic15.2Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.7C2480,415
Dic15⋊5C4.8C2 = Dic30⋊14C4φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.8C2480,416
Dic15⋊5C4.9C2 = Dic3.Dic10φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.9C2480,419
Dic15⋊5C4.10C2 = Dic5.7Dic6φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.10C2480,454
Dic15⋊5C4.11C2 = Dic3.3Dic10φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.11C2480,455
Dic15⋊5C4.12C2 = C60.6Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.12C2480,457
Dic15⋊5C4.13C2 = Dic15.4Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.13C2480,458
Dic15⋊5C4.14C2 = Dic15⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.14C2480,461
Dic15⋊5C4.15C2 = C20.Dic6φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.15C2480,464
Dic15⋊5C4.16C2 = C20⋊Dic6φ: C2/C1 → C2 ⊆ Out Dic15⋊5C4480Dic15:5C4.16C2480,546
Dic15⋊5C4.17C2 = C4×C15⋊Q8φ: trivial image480Dic15:5C4.17C2480,543

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁