Finite Group Databasebeta

D13×#3461 #16769738

order3328
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productD13×#3461

Splittings

FittingC13×#3461 ⋊ C2
SylowC13 ⋊ C2×#3461

Subgroups

subgroupG/H
centerC2×C4C24×D13
commutator, socle, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC13×#3461C2
prime radicalD13×#537C2
hypercenter#3461D13
hypocenterC13C2×#3461
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3461

7130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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(3328, 1076387);