Finite Group Databasebeta

#261×#444 #16797430

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct product#261×#444

Splittings

FittingC13×#444 ⋊ C4
SylowC13 ⋊ C4×#444

Subgroups

subgroupG/H
centerC4C2×D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC13×#444C4
socleC2×C13C42×D4
prime radicalD13×#135C22
cosocleC2×C4×D13C24
hypercenter#444#261
hypocenterC13C4×#444
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C2×C8 ◁ #444

1022 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

154 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1104079);