Finite Group Databasebeta

D29×#533 #16832777

order3712
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD29×#533

Splittings

FittingC29×#533 ⋊ C2
SylowC29 ⋊ C2×#533

Subgroups

subgroupG/H
centerC2×C4C23×D29
commutator, socle, cosocleC22×C29C25
FrattiniC22C24×D29
FittingC29×#533C2
prime radicalC23×D29C23
hypercenter#533D29
hypocenterC29C2×#533
LCSG ▷ C22×C29 ▷ C29
UCSC1 ◁ C2×C4 ◁ #533

1168 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 928

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 17795);