Finite Group Databasebeta

D13×#2262 #16021043

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

Aliases

direct productD13×#2262

Splittings

FittingC13×#2262 ⋊ C2
SylowC13 ⋊ C2×#2262

Subgroups

subgroupG/H
centerC4D13×D16
commutator, cosocleC13×C16C24
FrattiniC16C23×D13
FittingC13×#2262C2
socleC2×C13C22×D16
hypercenter#2262D13
hypocenterC13C2×#2262
LCSG ▷ C13×C16 ▷ C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16 ◁ #2262

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327692);