Finite Group Databasebeta

#391×D113 #28393040

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

Aliases

direct product#391×D113

Splittings

Fitting#391×C113 ⋊ C2
SylowC113 ⋊ C2×#391

Subgroups

subgroupG/H
center, FrattiniC23C23×D113
commutatorC22×C113C23×C4
Fitting#391×C113C2
socle, cosocleC23×C113C24
prime radicalC23×D113C23
hypercenter#391D113
hypocenterC113C2×#391
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C23 ◁ #391

928 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

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, 6976);