Finite Group Databasebeta

D43×#3417 #26003118

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD43×#3417

Splittings

FittingC43×#3417 ⋊ C2
SylowC43 ⋊ C2×#3417

Subgroups

subgroupG/H
centerC2C22×D8×D43
commutator, cosocleC8×C43C25
FrattiniC8C24×D43
FittingC43×#3417C2
socleC2×C43C23×D8
hypercenter#3417D43
hypocenterC43C2×#3417
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ #41 ◁ #131 ◁ #3417

2022 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076089);