Finite Group Databasebeta

C22×D13×#95 #16021085

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C212

Aliases

direct productC22×D13×#95

Splittings

FittingC22×C13×#95 ⋊ C2
SylowC13 ⋊ C23×#95

Subgroups

subgroupG/H
centerC25C22×D13
commutatorC2×C13C23×C42
FrattiniC23C24×D13
FittingC22×C13×#95C2
socleC25×C13C23
prime radicalC25×D13C22
cosocleC23×C13C25
hypercenterC22×#95D13
hypocenterC13C23×#95
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C25 ◁ C22×#95

14334 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327734);