Finite Group Databasebeta

← Prev (#14645002) Next (#14645004) →

C8×#66871 #14645003

order2816
isoclinismisoclinic class of #4323
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC8×#66871

Splittings

SylowC11 ⋊ C8×#107

Subgroups

subgroupG/H
centerC22×C8C22⋊D11
commutatorC4×C11C2×C4×C8
FrattiniC2×C42C22×D11
FittingC8×C11×C4⋊C4C2
socle, prime radicalC23×C11C4×D4
cosocleC2×C42×C11C23
hypercenterC8×C4⋊C4D11
hypocenterC11C8×#107
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C8 ◁ C2×C4×C8 ◁ C8×C4⋊C4

446 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2816

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 60798);