Finite Group Databasebeta

D29×#473 #16829201

order3712
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD29×#473

Splittings

FittingC29×#473 ⋊ C2
SylowC29 ⋊ C2×#473

Subgroups

subgroupG/H
centerC2#121×D29
commutator, cosocleC2×C4×C29C24
FrattiniC2×C4C23×D29
FittingC29×#473C2
socleC2×C29C2×#121
prime radical#41×D29C22
hypercenter#473D29
hypocenterC29C2×#473
LCSG ▷ C2×C4×C29 ▷ C2×C29 ▷ C29
UCSC1 ◁ C2 ◁ C2×C4 ◁ #473

448 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 928

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 14219);