Finite Group Databasebeta

C2×#13072240 #14922195

order2816
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13072240

Splittings

SylowC11 ⋊ C2×#2432

Subgroups

subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
Fitting, prime radicalC23×C11×#41C2
socleC24×C11C24
hypercenterC23×#41D11
hypocenterC11C2×#2432
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×#41

5502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1408

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 337990);