Finite Group Databasebeta

#518×D113 #28403757

order14464
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#518×D113

Splittings

Fitting#518×C113 ⋊ C2
SylowC113 ⋊ C2×#518

Subgroups

subgroupG/H
center, FrattiniC22C24×D113
commutatorC2×C113C24×C4
Fitting#518×C113C2
socle, cosocleC22×C113C25
prime radicalC22×D4×D113C2
hypercenter#518D113
hypocenterC113C2×#518
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C22 ◁ #518

1920 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1808

Conjugacy classes & character table

1972 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 17693);