Finite Group Databasebeta

D13×#3211 #16734085

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productD13×#3211

Splittings

FittingC13×#3211 ⋊ C2
SylowC13 ⋊ C2×#3211

Subgroups

subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3211C2
socleC22×C13C23×D4
prime radicalD13×#447C2
hypercenter#3211D13
hypocenterC13C2×#3211
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3211

2294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1040734);