Finite Group Databasebeta

D13×#3407 #16769385

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productD13×#3407

Splittings

FittingC13×#3407 ⋊ C2
SylowC13 ⋊ C2×#3407

Subgroups

subgroupG/H
center, FrattiniC8C24×D13
commutator, socleC2×C13C24×C8
FittingC13×#3407C2
prime radicalC2×#41×D13C4
cosocleC8×C13C25
hypercenter#3407D13
hypocenterC13C2×#3407
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C8 ◁ #3407

2074 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076034);