Finite Group Databasebeta

#529×D113 #28403832

order14464
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#529×D113

Splittings

Fitting#529×C113 ⋊ C2
SylowC113 ⋊ C2×#529

Subgroups

subgroupG/H
centerC2×C4C23×D113
commutator, socle, cosocleC22×C113C25
FrattiniC22C24×D113
Fitting#529×C113C2
prime radical#121×D113C2
hypercenter#529D113
hypocenterC113C2×#529
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ #529

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

1624 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 17768);