Finite Group Databasebeta

D43×#3586 #26010440

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productD43×#3586

Splittings

FittingC43×#3586 ⋊ C2
SylowC43 ⋊ C2×#3586

Subgroups

subgroupG/H
centerC2C23×D4×D43
commutator, cosocleC4×C43C26
FrattiniC4C25×D43
FittingC43×#3586C2
socleC2×C43C24×D4
hypercenter#3586D43
hypocenterC43C2×#3586
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×#41 ◁ #3586

10794 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, 1083411);