Finite Group Databasebeta

#95×D332 #35325875

order21248
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct product#95×D332

Splittings

FittingC4×#95×C83 ⋊ C2
SylowC83 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D83
commutatorC22×C83C22×C42
FittingC4×#95×C83C2
socle, cosocleC24×C83C24
prime radicalC23×D332C22
hypercenterC4×#95D83
hypocenterC83D4×#95
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C24 ◁ C4×#95

3562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10624

Conjugacy classes & character table

3380 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 91039);