Finite Group Databasebeta

D59×#2990 #29453746

order15104
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD59×#2990

Splittings

FittingC59×#2990 ⋊ C2
SylowC59 ⋊ C2×#2990

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D59
commutator, socleC22×C59C24×C4
FittingC59×#2990C2
prime radicalC2×#41×D59C4
cosocleC2×C4×C59C25
hypercenter#2990D59
hypocenterC59C2×#2990
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #2990

2210 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

Conjugacy classes & character table

1550 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 1034625);