Finite Group Databasebeta

D43×#3026 #25963322

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productD43×#3026

Splittings

FittingC43×#3026 ⋊ C2
SylowC43 ⋊ C2×#3026

Subgroups

subgroupG/H
centerC2C2×#120×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#3026C2
socleC2×C43C22×#120
hypercenter#3026D43
hypocenterC43C2×#3026
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C24 ◁ #3026

5318 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036293);