Finite Group Databasebeta

#95×C22⋊D11 #14675241

order2816
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct product#95×C22⋊D11

Splittings

FittingC22×C11×#95 ⋊ C2
SylowC11 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D11
commutatorC22×C11C22×C42
FittingC22×C11×#95C2
socle, cosocleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenterC22×#95D11
hypocenterC11D4×#95
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#95

3562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1408

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 91036);