Finite Group Databasebeta

Dic11×#347 #14668599

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

Aliases

direct productDic11×#347

Splittings

SylowC11 ⋊ C4×#347

Subgroups

subgroupG/H
centerC2×C4C42×D11
commutatorC4×C11C43
FrattiniC22×C8C22×D11
FittingC2×C11×#347C2
socleC22×C11C2×#97
prime radicalC23×C11C2×M16
cosocleC22×C8×C11C23
hypercenterC2×#347D11
hypocenterC11C4×#347
LCSG ▷ C4×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×#347

418 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 704

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, 84394);