Finite Group Databasebeta

Dic11×#541 #14912921

order2816
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productDic11×#541

Splittings

SylowC11 ⋊ C4×#541

Subgroups

subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#541C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenterC2×#541D11
hypocenterC11C4×#541
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#541

2070 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1408

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 328716);