Finite Group Databasebeta

D43×#2901 #25960192

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

Aliases

direct productD43×#2901

Splittings

FittingC43×#2901 ⋊ C2
SylowC43 ⋊ C2×#2901

Subgroups

subgroupG/H
centerC4C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2901C2
socleC2×C43C23×C22⋊C4
prime radical#585×D43C2
cosocleC2×C4×C43C25
hypercenter#2901D43
hypocenterC43C2×#2901
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×#41 ◁ #2901

4946 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033163);