Finite Group Databasebeta

D29×#408 #16827929

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

Aliases

direct productD29×#408

Splittings

FittingC29×#408 ⋊ C2
SylowC29 ⋊ C2×#408

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D29
commutator, socleC22×C29C23×C4
FittingC29×#408C2
prime radicalC2×#41×D29C2
cosocleC2×C4×C29C24
hypercenter#408D29
hypocenterC29C2×#408
LCSG ▷ C22×C29 ▷ C29
UCSC1 ◁ C2×C4 ◁ #408

792 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, 12947);