Finite Group Databasebeta

#41×#6092 #16807269

order3328
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct product#41×#6092

Splittings

SylowC13 ⋊ C16×#41

Subgroups

subgroupG/H
centerC42C22×#261
commutatorC2×C13C23×C16
FrattiniC2×C4C23×#261
FittingC4×C13×#41C4
socleC22×C13C23×C8
prime radicalC2×C13×#41C8
cosocleC2×#1055C24
hypercenterC4×#41#261
hypocenterC13C16×#41
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C4×#41

602 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

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, 1113918);