Finite Group Databasebeta

D11×C22⋊#95 #14674860

order2816
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C210

Aliases

direct productD11×C22⋊#95

Splittings

FittingC11×C22⋊#95 ⋊ C2
SylowC11 ⋊ C2×C22⋊#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D11
commutatorC22×C11C22×C42
FittingC11×C22⋊#95C2
socle, cosocleC24×C11C24
prime radicalC25×D11C22
hypercenterC22⋊#95D11
hypocenterC11C2×C22⋊#95
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22⋊#95

7630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 704

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 90655);