Finite Group Databasebeta

D13×#1972 #15866751

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct productD13×#1972

Splittings

FittingC13×#1972 ⋊ C2
SylowC13 ⋊ C2×#1972

Subgroups

subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1972C2
socleC23×C13C22×D4
prime radicalC22×D8×D13C2
cosocleC22×C4×C13C24
hypercenter#1972D13
hypocenterC13C2×#1972
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1972

2006 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 173400);