Finite Group Databasebeta

#261×#405 #16796732

order3328
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43

Aliases

direct product#261×#405

Splittings

FittingC13×#405 ⋊ C4
SylowC13 ⋊ C4×#405

Subgroups

subgroupG/H
centerC2×C8C22×#261
commutatorC2×C13C2×C43
FrattiniC2×C4C23×#261
FittingC13×#405C4
socleC22×C13C22×C42
prime radicalC23×D13C22×C4
cosocleC2×C4×D13C24
hypercenter#405#261
hypocenterC13C4×#405
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ #405

1526 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103381);