Finite Group Databasebeta

D13×#2110 #16015574

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productD13×#2110

Splittings

FittingC13×#2110 ⋊ C2
SylowC13 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC8C42×D13
commutatorC4×C13C22×C42
FrattiniC2×C8C23×D13
FittingC13×#2110C2
socleC2×C13C22×#97
prime radicalC23×D13M16
cosocleC2×C8×C13C24
hypercenter#2110D13
hypocenterC13C2×#2110
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C8 ◁ #2110

738 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 322223);