Finite Group Databasebeta

D59×#1438 #28510344

order15104
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C210

Aliases

direct productD59×#1438

Splittings

FittingC59×#1438 ⋊ C2
SylowC59 ⋊ C2×#1438

Subgroups

subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC59×#1438C2
socle, cosocleC24×C59C24
prime radicalC23×D4×D59C2
hypercenter#1438D59
hypocenterC59C2×#1438
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ #1438

8190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

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, 91223);