Finite Group Databasebeta

#388×D113 #28393002

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct product#388×D113

Splittings

Fitting#388×C113 ⋊ C2
SylowC113 ⋊ C2×#388

Subgroups

subgroupG/H
center, FrattiniC23C23×D113
commutatorC22×C113C23×C4
Fitting#388×C113C2
socle, cosocleC23×C113C24
prime radicalC24×D113C22
hypercenter#388D113
hypocenterC113C2×#388
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C23 ◁ #388

928 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, 6938);