Finite Group Databasebeta

D13×#1438 #15784574

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C210

Aliases

direct productD13×#1438

Splittings

FittingC13×#1438 ⋊ C2
SylowC13 ⋊ C2×#1438

Subgroups

subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC13×#1438C2
socle, cosocleC24×C13C24
prime radicalC23×D4×D13C2
hypercenter#1438D13
hypocenterC13C2×#1438
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ #1438

8190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 91223);