Finite Group Databasebeta

#99×#1057 #16780397

order3328
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct product#99×#1057

Splittings

SylowC13 ⋊ C8×#99

Subgroups

subgroupG/H
centerC22C22⋊C4×#261
commutatorC22×C13C2×C4×C8
FrattiniC24C22×#261
FittingC2×C13×#99C4
socleC22×C13C4×C22⋊C4
prime radicalC22×D4×C13C2×C4
cosocleC23×Dic13C23
hypercenterC2×#99#261
hypocenterC13C8×#99
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C24 ◁ C2×#99

614 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1087046);