Finite Group Databasebeta

D19×#533 #14576920

order2432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD19×#533

Splittings

FittingC19×#533 ⋊ C2
SylowC19 ⋊ C2×#533

Subgroups

subgroupG/H
centerC2×C4C23×D19
commutator, socle, cosocleC22×C19C25
FrattiniC22C24×D19
FittingC19×#533C2
prime radicalC23×D19C23
hypercenter#533D19
hypocenterC19C2×#533
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C2×C4 ◁ #533

1168 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 17795);