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

Extensions 1→N→G→Q→1 with N=C2xC3:F5 and Q=C22

Direct product G=NxQ with N=C2xC3:F5 and Q=C22
dρLabelID
C23xC3:F5120C2^3xC3:F5480,1206

Semidirect products G=N:Q with N=C2xC3:F5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2xC3:F5):C22 = S3xC22:F5φ: C22/C1 → C22 ⊆ Out C2xC3:F5608+(C2xC3:F5):C2^2480,1011
(C2xC3:F5):2C22 = C2xD6:F5φ: C22/C2 → C2 ⊆ Out C2xC3:F5120(C2xC3:F5):2C2^2480,1000
(C2xC3:F5):3C22 = C22xS3xF5φ: C22/C2 → C2 ⊆ Out C2xC3:F560(C2xC3:F5):3C2^2480,1197
(C2xC3:F5):4C22 = C2xD10.D6φ: C22/C2 → C2 ⊆ Out C2xC3:F5120(C2xC3:F5):4C2^2480,1072

Non-split extensions G=N.Q with N=C2xC3:F5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2xC3:F5).1C22 = F5xDic6φ: C22/C1 → C22 ⊆ Out C2xC3:F51208-(C2xC3:F5).1C2^2480,982
(C2xC3:F5).2C22 = C4:F5:3S3φ: C22/C1 → C22 ⊆ Out C2xC3:F51208(C2xC3:F5).2C2^2480,983
(C2xC3:F5).3C22 = F5xD12φ: C22/C1 → C22 ⊆ Out C2xC3:F5608+(C2xC3:F5).3C2^2480,995
(C2xC3:F5).4C22 = S3xC4:F5φ: C22/C1 → C22 ⊆ Out C2xC3:F5608(C2xC3:F5).4C2^2480,996
(C2xC3:F5).5C22 = C22:F5.S3φ: C22/C1 → C22 ⊆ Out C2xC3:F51208-(C2xC3:F5).5C2^2480,999
(C2xC3:F5).6C22 = F5xC3:D4φ: C22/C1 → C22 ⊆ Out C2xC3:F5608(C2xC3:F5).6C2^2480,1010
(C2xC3:F5).7C22 = Dic6:5F5φ: C22/C2 → C2 ⊆ Out C2xC3:F51208-(C2xC3:F5).7C2^2480,984
(C2xC3:F5).8C22 = (C4xS3):F5φ: C22/C2 → C2 ⊆ Out C2xC3:F51208(C2xC3:F5).8C2^2480,985
(C2xC3:F5).9C22 = C4xS3xF5φ: C22/C2 → C2 ⊆ Out C2xC3:F5608(C2xC3:F5).9C2^2480,994
(C2xC3:F5).10C22 = D60:3C4φ: C22/C2 → C2 ⊆ Out C2xC3:F5608+(C2xC3:F5).10C2^2480,997
(C2xC3:F5).11C22 = C2xDic3xF5φ: C22/C2 → C2 ⊆ Out C2xC3:F5120(C2xC3:F5).11C2^2480,998
(C2xC3:F5).12C22 = C2xDic3:F5φ: C22/C2 → C2 ⊆ Out C2xC3:F5120(C2xC3:F5).12C2^2480,1001
(C2xC3:F5).13C22 = C3:D4:F5φ: C22/C2 → C2 ⊆ Out C2xC3:F5608(C2xC3:F5).13C2^2480,1012
(C2xC3:F5).14C22 = C2xC60:C4φ: C22/C2 → C2 ⊆ Out C2xC3:F5120(C2xC3:F5).14C2^2480,1064
(C2xC3:F5).15C22 = (C2xC12):6F5φ: C22/C2 → C2 ⊆ Out C2xC3:F51204(C2xC3:F5).15C2^2480,1065
(C2xC3:F5).16C22 = D4xC3:F5φ: C22/C2 → C2 ⊆ Out C2xC3:F5608(C2xC3:F5).16C2^2480,1067
(C2xC3:F5).17C22 = Q8xC3:F5φ: C22/C2 → C2 ⊆ Out C2xC3:F51208(C2xC3:F5).17C2^2480,1069
(C2xC3:F5).18C22 = C2xC4xC3:F5φ: trivial image120(C2xC3:F5).18C2^2480,1063

׿
x
:
Z
F
o
wr
Q
<