Finite Group Databasebeta

#131×#90673 #28407141

order14464
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct product#131×#90673

Splittings

Fitting#131×C113 ⋊ C4
SylowC113 ⋊ C4×#131

Subgroups

subgroupG/H
centerC8C22×#90673
commutator, socleC2×C113C22×C42
FrattiniC4C23×#90673
Fitting#131×C113C4
prime radical#41×D113C22
cosocleC4×D113C24
hypercenter#131#90673
hypocenterC113C4×#131
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C8 ◁ #131

572 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1808

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21077);