Finite Group Databasebeta

#131×#89137 #28379599

order13952
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct product#131×#89137

Splittings

Fitting#131×C109 ⋊ C4
SylowC109 ⋊ C4×#131

Subgroups

subgroupG/H
centerC8C22×#89137
commutator, socleC2×C109C22×C42
FrattiniC4C23×#89137
Fitting#131×C109C4
prime radical#41×D109C22
cosocleC4×D109C24
hypercenter#131#89137
hypocenterC109C4×#131
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C8 ◁ #131

572 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1744

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 21077);