Finite Group Databasebeta

D13×#1476 #15829267

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productD13×#1476

Splittings

FittingC13×#1476 ⋊ C2
SylowC13 ⋊ C2×#1476

Subgroups

subgroupG/H
centerC42D4×D13
commutatorC4×C13C23×C8
FrattiniC42C23×D13
FittingC13×#1476C2
socleC22×C13C22×C22⋊C4
prime radicalC2×#41×D13C4
cosocleC42×C13C24
hypercenter#1476D13
hypocenterC13C2×#1476
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C2×C42 ◁ #1476

1430 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 135916);