Finite Group Databasebeta

D19×#465 #14573191

order2432
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD19×#465

Splittings

FittingC19×#465 ⋊ C2
SylowC19 ⋊ C2×#465

Subgroups

subgroupG/H
centerC22C2×D4×D19
commutator, cosocleC2×C4×C19C24
FrattiniC2×C4C23×D19
FittingC19×#465C2
socleC22×C19C22×D4
prime radical#121×D19C2
hypercenter#465D19
hypocenterC19C2×#465
LCSG ▷ C2×C4×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C22 ◁ C22×C4 ◁ #465

564 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

242 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 14066);