Finite Group Databasebeta

#261×#328 #16780646

order3328
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#261×#328

Splittings

FittingC13×#328 ⋊ C4
SylowC13 ⋊ C4×#328

Subgroups

subgroupG/H
centerC22C22⋊C4×#261
commutatorC2×C4×C13C2×C42
FrattiniC22×C4C22×#261
FittingC13×#328C4
socleC22×C13C4×C22⋊C4
prime radicalC23×D13C2×D4
cosocleC22×C4×D13C23
hypercenter#328#261
hypocenterC13C4×#328
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ #328

732 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

133 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1087295);