Finite Group Databasebeta

D29×#482 #16829372

order3712
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productD29×#482

Splittings

FittingC29×#482 ⋊ C2
SylowC29 ⋊ C2×#482

Subgroups

subgroupG/H
centerC22C2×D4×D29
commutator, cosocleC2×C4×C29C24
FrattiniC2×C4C23×D29
FittingC29×#482C2
socleC22×C29C22×D4
prime radical#121×D29C2
hypercenter#482D29
hypocenterC29C2×#482
LCSG ▷ C2×C4×C29 ▷ C2×C29 ▷ C29
UCSC1 ◁ C22 ◁ C22×C4 ◁ #482

468 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 928

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 14390);