Finite Group Databasebeta

D29×#390 #16821945

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

Aliases

direct productD29×#390

Splittings

FittingC29×#390 ⋊ C2
SylowC29 ⋊ C2×#390

Subgroups

subgroupG/H
center, FrattiniC23C23×D29
commutatorC22×C29C23×C4
FittingC29×#390C2
socle, cosocleC23×C29C24
prime radicalC22×D4×D29C2
hypercenter#390D29
hypocenterC29C2×#390
LCSG ▷ C22×C29 ▷ C29
UCSC1 ◁ C23 ◁ #390

1360 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, 6963);