Finite Group Databasebeta

D29×#432 #16828109

order3712
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD29×#432

Splittings

FittingC29×#432 ⋊ C2
SylowC29 ⋊ C2×#432

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D29
commutator, socleC22×C29C23×C4
FittingC29×#432C2
prime radicalC23×D29C2×C4
cosocleC2×C4×C29C24
hypercenter#432D29
hypocenterC29C2×#432
LCSG ▷ C22×C29 ▷ C29
UCSC1 ◁ C2×C4 ◁ #432

488 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, 13127);