Finite Group Databasebeta

#41×#6090 #16016438

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

Aliases

direct product#41×#6090

Splittings

SylowC13 ⋊ C16×#41

Subgroups

subgroupG/H
centerC4×C8C22×D13
commutatorC2×C13C23×C16
FrattiniC2×C8C23×D13
FittingC8×C13×#41C2
socleC22×C13C23×C8
prime radicalC2×C13×#41C8
cosocleC2×C8×C13C24
hypercenterC8×#41D13
hypocenterC13C16×#41
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C4×C8 ◁ C8×#41

602 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 323087);