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

Extensions 1→N→G→Q→1 with N=C2xC30 and Q=Q8

Direct product G=NxQ with N=C2xC30 and Q=Q8
dρLabelID
Q8xC2xC30480Q8xC2xC30480,1182

Semidirect products G=N:Q with N=C2xC30 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2xC30):1Q8 = C22:2Dic30φ: Q8/C2 → C22 ⊆ Aut C2xC30240(C2xC30):1Q8480,843
(C2xC30):2Q8 = (C2xC30):Q8φ: Q8/C2 → C22 ⊆ Aut C2xC30240(C2xC30):2Q8480,650
(C2xC30):3Q8 = (C2xC10):8Dic6φ: Q8/C2 → C22 ⊆ Aut C2xC30240(C2xC30):3Q8480,651
(C2xC30):4Q8 = Dic15.48D4φ: Q8/C2 → C22 ⊆ Aut C2xC30240(C2xC30):4Q8480,652
(C2xC30):5Q8 = C22xC15:Q8φ: Q8/C2 → C22 ⊆ Aut C2xC30480(C2xC30):5Q8480,1121
(C2xC30):6Q8 = C3xDic5.14D4φ: Q8/C2 → C22 ⊆ Aut C2xC30240(C2xC30):6Q8480,671
(C2xC30):7Q8 = C5xDic3.D4φ: Q8/C2 → C22 ⊆ Aut C2xC30240(C2xC30):7Q8480,757
(C2xC30):8Q8 = C15xC22:Q8φ: Q8/C4 → C2 ⊆ Aut C2xC30240(C2xC30):8Q8480,927
(C2xC30):9Q8 = C60.205D4φ: Q8/C4 → C2 ⊆ Aut C2xC30240(C2xC30):9Q8480,889
(C2xC30):10Q8 = C22xDic30φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30):10Q8480,1165
(C2xC30):11Q8 = C3xC20.48D4φ: Q8/C4 → C2 ⊆ Aut C2xC30240(C2xC30):11Q8480,717
(C2xC30):12Q8 = C2xC6xDic10φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30):12Q8480,1135
(C2xC30):13Q8 = C5xC12.48D4φ: Q8/C4 → C2 ⊆ Aut C2xC30240(C2xC30):13Q8480,803
(C2xC30):14Q8 = C2xC10xDic6φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30):14Q8480,1150

Non-split extensions G=N.Q with N=C2xC30 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2xC30).1Q8 = C60.210D4φ: Q8/C2 → C22 ⊆ Aut C2xC302404(C2xC30).1Q8480,182
(C2xC30).2Q8 = C60.105D4φ: Q8/C2 → C22 ⊆ Aut C2xC302404(C2xC30).2Q8480,67
(C2xC30).3Q8 = C60.D4φ: Q8/C2 → C22 ⊆ Aut C2xC302404(C2xC30).3Q8480,68
(C2xC30).4Q8 = C12.59D20φ: Q8/C2 → C22 ⊆ Aut C2xC302404(C2xC30).4Q8480,69
(C2xC30).5Q8 = C30.24C42φ: Q8/C2 → C22 ⊆ Aut C2xC30480(C2xC30).5Q8480,70
(C2xC30).6Q8 = C2xC30.Q8φ: Q8/C2 → C22 ⊆ Aut C2xC30480(C2xC30).6Q8480,617
(C2xC30).7Q8 = C2xDic15:5C4φ: Q8/C2 → C22 ⊆ Aut C2xC30480(C2xC30).7Q8480,620
(C2xC30).8Q8 = C2xC6.Dic10φ: Q8/C2 → C22 ⊆ Aut C2xC30480(C2xC30).8Q8480,621
(C2xC30).9Q8 = C3xC20.53D4φ: Q8/C2 → C22 ⊆ Aut C2xC302404(C2xC30).9Q8480,100
(C2xC30).10Q8 = C5xC12.53D4φ: Q8/C2 → C22 ⊆ Aut C2xC302404(C2xC30).10Q8480,141
(C2xC30).11Q8 = C15xC8.C4φ: Q8/C4 → C2 ⊆ Aut C2xC302402(C2xC30).11Q8480,211
(C2xC30).12Q8 = C4.18D60φ: Q8/C4 → C2 ⊆ Aut C2xC302402(C2xC30).12Q8480,179
(C2xC30).13Q8 = C30.29C42φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).13Q8480,191
(C2xC30).14Q8 = C2xC30.4Q8φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).14Q8480,888
(C2xC30).15Q8 = C2xC60:5C4φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).15Q8480,890
(C2xC30).16Q8 = C3xC40.6C4φ: Q8/C4 → C2 ⊆ Aut C2xC302402(C2xC30).16Q8480,97
(C2xC30).17Q8 = C3xC10.10C42φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).17Q8480,109
(C2xC30).18Q8 = C6xC10.D4φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).18Q8480,716
(C2xC30).19Q8 = C6xC4:Dic5φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).19Q8480,718
(C2xC30).20Q8 = C5xC24.C4φ: Q8/C4 → C2 ⊆ Aut C2xC302402(C2xC30).20Q8480,138
(C2xC30).21Q8 = C5xC6.C42φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).21Q8480,150
(C2xC30).22Q8 = C10xDic3:C4φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).22Q8480,802
(C2xC30).23Q8 = C10xC4:Dic3φ: Q8/C4 → C2 ⊆ Aut C2xC30480(C2xC30).23Q8480,804
(C2xC30).24Q8 = C15xC2.C42central extension (φ=1)480(C2xC30).24Q8480,198
(C2xC30).25Q8 = C4:C4xC30central extension (φ=1)480(C2xC30).25Q8480,921

׿
x
:
Z
F
o
wr
Q
<