Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C2xC4xD15 and Q=C2

Direct product G=NxQ with N=C2xC4xD15 and Q=C2
dρLabelID
C22xC4xD15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C2xC4xD15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4xD15):1C2 = C4:D60φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):1C2480,860
(C2xC4xD15):2C2 = C60:2D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):2C2480,903
(C2xC4xD15):3C2 = C2xD4xD15φ: C2/C1 → C2 ⊆ Out C2xC4xD15120(C2xC4xD15):3C2480,1169
(C2xC4xD15):4C2 = C2xD4:2D15φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):4C2480,1170
(C2xC4xD15):5C2 = C2xQ8:3D15φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):5C2480,1173
(C2xC4xD15):6C2 = C4oD4xD15φ: C2/C1 → C2 ⊆ Out C2xC4xD151204(C2xC4xD15):6C2480,1175
(C2xC4xD15):7C2 = D30.34D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):7C2480,430
(C2xC4xD15):8C2 = D30.35D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):8C2480,431
(C2xC4xD15):9C2 = Dic15:13D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):9C2480,472
(C2xC4xD15):10C2 = Dic15:14D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):10C2480,482
(C2xC4xD15):11C2 = D30:12D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):11C2480,537
(C2xC4xD15):12C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15120(C2xC4xD15):12C2480,549
(C2xC4xD15):13C2 = C4xD60φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):13C2480,838
(C2xC4xD15):14C2 = C22:C4xD15φ: C2/C1 → C2 ⊆ Out C2xC4xD15120(C2xC4xD15):14C2480,845
(C2xC4xD15):15C2 = Dic15:19D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):15C2480,846
(C2xC4xD15):16C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):16C2480,848
(C2xC4xD15):17C2 = D30:9D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):17C2480,849
(C2xC4xD15):18C2 = D60:11C4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):18C2480,858
(C2xC4xD15):19C2 = D30.29D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):19C2480,859
(C2xC4xD15):20C2 = C4xC15:7D4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):20C2480,893
(C2xC4xD15):21C2 = C2xD60:11C2φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):21C2480,1168
(C2xC4xD15):22C2 = C12:2D20φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):22C2480,541
(C2xC4xD15):23C2 = C20:2D12φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):23C2480,542
(C2xC4xD15):24C2 = C2xD20:S3φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):24C2480,1075
(C2xC4xD15):25C2 = C2xD12:D5φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):25C2480,1079
(C2xC4xD15):26C2 = C2xC20:D6φ: C2/C1 → C2 ⊆ Out C2xC4xD15120(C2xC4xD15):26C2480,1089
(C2xC4xD15):27C2 = D20:24D6φ: C2/C1 → C2 ⊆ Out C2xC4xD151204(C2xC4xD15):27C2480,1092
(C2xC4xD15):28C2 = C4xC3:D20φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):28C2480,519
(C2xC4xD15):29C2 = C4xC5:D12φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):29C2480,521
(C2xC4xD15):30C2 = C2xD6.D10φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15):30C2480,1083
(C2xC4xD15):31C2 = S3xC2xC4xD5φ: C2/C1 → C2 ⊆ Out C2xC4xD15120(C2xC4xD15):31C2480,1086

Non-split extensions G=N.Q with N=C2xC4xD15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4xD15).1C2 = C4:C4:7D15φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).1C2480,857
(C2xC4xD15).2C2 = D30:6Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).2C2480,862
(C2xC4xD15).3C2 = M4(2)xD15φ: C2/C1 → C2 ⊆ Out C2xC4xD151204(C2xC4xD15).3C2480,871
(C2xC4xD15).4C2 = D30:7Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).4C2480,911
(C2xC4xD15).5C2 = C2xQ8xD15φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).5C2480,1172
(C2xC4xD15).6C2 = D30:3C8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).6C2480,180
(C2xC4xD15).7C2 = D30:8Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).7C2480,453
(C2xC4xD15).8C2 = D30.Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).8C2480,480
(C2xC4xD15).9C2 = C42:2D15φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).9C2480,837
(C2xC4xD15).10C2 = C4:C4xD15φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).10C2480,856
(C2xC4xD15).11C2 = D30:5Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).11C2480,861
(C2xC4xD15).12C2 = C2xC40:S3φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).12C2480,865
(C2xC4xD15).13C2 = (C4xD15):8C4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).13C2480,423
(C2xC4xD15).14C2 = D30:9Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).14C2480,459
(C2xC4xD15).15C2 = D30:10Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).15C2480,466
(C2xC4xD15).16C2 = D30.2Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).16C2480,513
(C2xC4xD15).17C2 = C2xD15:Q8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).17C2480,1082
(C2xC4xD15).18C2 = D15:4M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xD151204(C2xC4xD15).18C2480,368
(C2xC4xD15).19C2 = D30:4C8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).19C2480,33
(C2xC4xD15).20C2 = C2xD15:2C8φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).20C2480,365
(C2xC4xD15).21C2 = C2xD30.5C4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).21C2480,371
(C2xC4xD15).22C2 = (C4xD15):10C4φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).22C2480,462
(C2xC4xD15).23C2 = C4xD30.C2φ: C2/C1 → C2 ⊆ Out C2xC4xD15240(C2xC4xD15).23C2480,477
(C2xC4xD15).24C2 = C42xD15φ: trivial image240(C2xC4xD15).24C2480,836
(C2xC4xD15).25C2 = C2xC8xD15φ: trivial image240(C2xC4xD15).25C2480,864

׿
x
:
Z
F
o
wr
Q
<