Finite Group Databasebeta

#41×#6099 #16727539

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct product#41×#6099

Splittings

SylowC13 ⋊ M16×#41

Subgroups

subgroupG/H
centerC42C23×D13
commutator, socleC22×C13C24×C4
FrattiniC2×C4C24×D13
FittingC2×C4×C13×#41C2
prime radicalC22×C13×#41C4
cosocleC2×C4×C13C25
hypercenterC2×C4×#41D13
hypocenterC13M16×#41
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C42 ◁ C2×C4×#41

2232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1034188);