Finite Group Databasebeta

D13×#2380 #16025546

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD13×#2380

Splittings

FittingC13×#2380 ⋊ C2
SylowC13 ⋊ C2×#2380

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2380C2
socle, cosocleC23×C13C25
prime radicalC2×D13×#127C2
hypercenter#2380D13
hypocenterC13C2×#2380
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2380

3798 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, 332195);