Finite Group Databasebeta

D29×#380 #16821861

order3712
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD29×#380

Splittings

FittingC29×#380 ⋊ C2
SylowC29 ⋊ C2×#380

Subgroups

subgroupG/H
center, FrattiniC23C23×D29
commutatorC22×C29C23×C4
FittingC29×#380C2
socle, cosocleC23×C29C24
prime radicalC24×D29C22
hypercenter#380D29
hypocenterC29C2×#380
LCSG ▷ C22×C29 ▷ C29
UCSC1 ◁ C23 ◁ #380

1232 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, 6879);