Finite Group Databasebeta

#261×#346 #16789012

order3328
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42

Aliases

direct product#261×#346

Splittings

FittingC13×#346 ⋊ C4
SylowC13 ⋊ C4×#346

Subgroups

subgroupG/H
center, FrattiniC2×C8C22×#261
commutatorC2×C13C42×C8
FittingC13×#346C4
socleC22×C13C2×C4×C8
prime radicalC22×D13C22×C8
cosocleC2×C8×D13C23
hypercenter#346#261
hypocenterC13C4×#346
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ #346

510 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1095661);