Finite Group Databasebeta

D43×#2889 #25960093

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD43×#2889

Splittings

FittingC43×#2889 ⋊ C2
SylowC43 ⋊ C2×#2889

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2889C2
socleC2×C43C23×C22⋊C4
prime radicalC2×2−1+4×D43C2
cosocleC2×C4×C43C25
hypercenter#2889D43
hypocenterC43C2×#2889
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×#41 ◁ #2889

4770 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

943 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033064);