Finite Group Databasebeta

#95×D356 #36475899

order22784
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct product#95×D356

Splittings

FittingC4×#95×C89 ⋊ C2
SylowC89 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D89
commutatorC22×C89C22×C42
FittingC4×#95×C89C2
socle, cosocleC24×C89C24
prime radicalC23×D356C22
hypercenterC4×#95D89
hypocenterC89D4×#95
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C24 ◁ C4×#95

3562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11392

Conjugacy classes & character table

3620 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 91039);