Finite Group Databasebeta

D59×#1443 #28510379

order15104
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productD59×#1443

Splittings

FittingC59×#1443 ⋊ C2
SylowC59 ⋊ C2×#1443

Subgroups

subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC59×#1443C2
socle, cosocleC24×C59C24
prime radicalC24×D59C23
hypercenter#1443D59
hypocenterC59C2×#1443
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ #1443

2638 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7552

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 91258);