Finite Group Databasebeta

D59×#2875 #29452095

order15104
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD59×#2875

Splittings

FittingC59×#2875 ⋊ C2
SylowC59 ⋊ C2×#2875

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D59
commutatorC2×C59C23×C42
FittingC59×#2875C2
socleC22×C59C24×C4
prime radicalC2×#41×D59C22
cosocleC2×C4×C59C25
hypercenter#2875D59
hypocenterC59C2×#2875
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #2875

3278 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

Conjugacy classes & character table

2108 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 1032974);