Finite Group Databasebeta

C2×#95×Dic11 #14674841

order2816
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×Dic11

Splittings

SylowC11 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D11
commutatorC2×C11C2×C43
FrattiniC24C23×D11
FittingC22×C11×#95C2
socle, prime radicalC25×C11C23
cosocleC24×C11C24
hypercenterC22×#95D11
hypocenterC11C2×C4×#95
LCSG ▷ C2×C11 ▷ C11
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2816

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 90636);