Finite Group Databasebeta

#431×D113 #28399186

order14464
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct product#431×D113

Splittings

Fitting#431×C113 ⋊ C2
SylowC113 ⋊ C2×#431

Subgroups

subgroupG/H
centerC42C22×D113
commutatorC2×C113C23×C8
FrattiniC2×C4C23×D113
Fitting#431×C113C2
socleC22×C113C23×C4
prime radicalC23×D113C2×C4
cosocleC2×C4×C113C24
hypercenter#431D113
hypocenterC113C2×#431
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C42 ◁ #431

528 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

2320 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 13122);