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

Extensions 1→N→G→Q→1 with N=C8xD15 and Q=C2

Direct product G=NxQ with N=C8xD15 and Q=C2
dρLabelID
C2xC8xD15240C2xC8xD15480,864

Semidirect products G=N:Q with N=C8xD15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8xD15):1C2 = D8xD15φ: C2/C1 → C2 ⊆ Out C8xD151204+(C8xD15):1C2480,875
(C8xD15):2C2 = D8:3D15φ: C2/C1 → C2 ⊆ Out C8xD152404-(C8xD15):2C2480,877
(C8xD15):3C2 = D120:8C2φ: C2/C1 → C2 ⊆ Out C8xD152404+(C8xD15):3C2480,884
(C8xD15):4C2 = SD16xD15φ: C2/C1 → C2 ⊆ Out C8xD151204(C8xD15):4C2480,878
(C8xD15):5C2 = D4.5D30φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):5C2480,881
(C8xD15):6C2 = C40:5D6φ: C2/C1 → C2 ⊆ Out C8xD151204(C8xD15):6C2480,332
(C8xD15):7C2 = D40:5S3φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):7C2480,353
(C8xD15):8C2 = D24:5D5φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):8C2480,355
(C8xD15):9C2 = D60.6C4φ: C2/C1 → C2 ⊆ Out C8xD152402(C8xD15):9C2480,866
(C8xD15):10C2 = C40:14D6φ: C2/C1 → C2 ⊆ Out C8xD151204(C8xD15):10C2480,331
(C8xD15):11C2 = Dic6.D10φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):11C2480,352
(C8xD15):12C2 = S3xC8xD5φ: C2/C1 → C2 ⊆ Out C8xD151204(C8xD15):12C2480,319
(C8xD15):13C2 = C40:D6φ: C2/C1 → C2 ⊆ Out C8xD151204(C8xD15):13C2480,322
(C8xD15):14C2 = C40.54D6φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):14C2480,341
(C8xD15):15C2 = C40.35D6φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):15C2480,344
(C8xD15):16C2 = M4(2)xD15φ: C2/C1 → C2 ⊆ Out C8xD151204(C8xD15):16C2480,871
(C8xD15):17C2 = D60.3C4φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15):17C2480,872

Non-split extensions G=N.Q with N=C8xD15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8xD15).1C2 = Q16xD15φ: C2/C1 → C2 ⊆ Out C8xD152404-(C8xD15).1C2480,882
(C8xD15).2C2 = Dic10.D6φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15).2C2480,340
(C8xD15).3C2 = C80:S3φ: C2/C1 → C2 ⊆ Out C8xD152402(C8xD15).3C2480,158
(C8xD15).4C2 = D15:2C16φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15).4C2480,9
(C8xD15).5C2 = D30.5C8φ: C2/C1 → C2 ⊆ Out C8xD152404(C8xD15).5C2480,12
(C8xD15).6C2 = C16xD15φ: trivial image2402(C8xD15).6C2480,157

׿
x
:
Z
F
o
wr
Q
<