Finite Group Databasebeta

D59×#3428 #29495281

order15104
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productD59×#3428

Splittings

FittingC59×#3428 ⋊ C2
SylowC59 ⋊ C2×#3428

Subgroups

subgroupG/H
centerC2×C4C24×D59
commutatorC2×C59C25×C4
FrattiniC22C25×D59
FittingC59×#3428C2
socle, cosocleC22×C59C26
prime radicalC22×#41×D59C2
hypercenter#3428D59
hypocenterC59C2×#3428
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3428

11534 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

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, 1076160);