Finite Group Databasebeta

D59×#2948 #29452811

order15104
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD59×#2948

Splittings

FittingC59×#2948 ⋊ C2
SylowC59 ⋊ C2×#2948

Subgroups

subgroupG/H
centerC22C22×D4×D59
commutatorC4×C59C24×C4
FrattiniC2×C4C24×D59
FittingC59×#2948C2
socleC22×C59C23×D4
prime radicalC22×D8×D59C2
cosocleC2×C4×C59C25
hypercenter#2948D59
hypocenterC59C2×#2948
LCSG ▷ C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #2948

3086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

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, 1033690);