Finite Group Databasebeta

D29×#383 #16821880

order3712
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD29×#383

Splittings

FittingC29×#383 ⋊ C2
SylowC29 ⋊ C2×#383

Subgroups

subgroupG/H
center, FrattiniC23C23×D29
commutatorC22×C29C23×C4
FittingC29×#383C2
socle, cosocleC23×C29C24
prime radicalC23×D29C23
hypercenter#383D29
hypocenterC29C2×#383
LCSG ▷ C22×C29 ▷ C29
UCSC1 ◁ C23 ◁ #383

624 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1856

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, 6898);