Finite Group Databasebeta

D59×#2978 #29453449

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

Aliases

direct productD59×#2978

Splittings

FittingC59×#2978 ⋊ C2
SylowC59 ⋊ C2×#2978

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D59
commutator, socleC22×C59C24×C4
FittingC59×#2978C2
prime radical#525×D59C2
cosocleC2×C4×C59C25
hypercenter#2978D59
hypocenterC59C2×#2978
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #2978

2250 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 1034328);