Finite Group Databasebeta

D13×#2222 #16017478

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

Aliases

direct productD13×#2222

Splittings

FittingC13×#2222 ⋊ C2
SylowC13 ⋊ C2×#2222

Subgroups

subgroupG/H
centerC2D13×#466
commutator, cosocleC2×C8×C13C24
FrattiniC2×C8C23×D13
FittingC13×#2222C2
socleC2×C13C2×#466
prime radical#41×D13D4
hypercenter#2222D13
hypocenterC13C2×#2222
LCSG ▷ C2×C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C2×C4 ◁ #131 ◁ #2222

638 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 324127);