Finite Group Databasebeta

C22×#16813717 #28407820

order14464
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C26

Aliases

direct productC22×#16813717

Splittings

derived, SylowC113 ⋊ C23×C16

Subgroups

subgroupG/H
center, hypercenterC22×C4#11744762
commutator, hypocenterC113C23×C16
FrattiniC2C23×#11744762
FittingC22×C4×C113C8
socleC23×C113C2×C8
prime radicalC23×D113C8
cosocle#11744753C24
LCSG ▷ C113
UCSC1 ◁ C22×C4

440 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21756);