Finite Group Databasebeta

D29×#430 #16828096

order3712
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD29×#430

Splittings

FittingC29×#430 ⋊ C2
SylowC29 ⋊ C2×#430

Subgroups

subgroupG/H
centerC4C2×D4×D29
commutatorC4×C29C23×C4
FrattiniC2×C4C23×D29
FittingC29×#430C2
socleC2×C29C22×C4⋊C4
prime radicalC23×D29Q8
cosocleC2×C4×C29C24
hypercenter#430D29
hypocenterC29C2×#430
LCSG ▷ C4×C29 ▷ C2×C29 ▷ C29
UCSC1 ◁ C4 ◁ C22×C4 ◁ #430

460 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 464

Conjugacy classes & character table

352 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 13114);