Finite Group Databasebeta

Dic11×#322 #14643120

order2816
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productDic11×#322

Splittings

SylowC11 ⋊ C4×#322

Subgroups

subgroupG/H
center, FrattiniC2×C42C22×D11
commutatorC2×C11C42×C8
FittingC2×C11×#322C2
socle, prime radicalC23×C11C2×C42
cosocleC2×C42×C11C23
hypercenterC2×#322D11
hypocenterC11C4×#322
LCSG ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C42 ◁ C2×#322

654 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, 58915);