Finite Group Databasebeta

D13×#2213 #16017295

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD13×#2213

Splittings

FittingC13×#2213 ⋊ C2
SylowC13 ⋊ C2×#2213

Subgroups

subgroupG/H
centerC2D13×#459
commutator, cosocleC2×C8×C13C24
FrattiniC2×C8C23×D13
FittingC13×#2213C2
socleC2×C13C2×#459
hypercenter#2213D13
hypocenterC13C2×#2213
LCSG ▷ C2×C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C2×C4 ◁ C4×C8 ◁ #2213

790 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

184 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 323944);