Finite Group Databasebeta

D43×#3584 #26010424

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

Aliases

direct productD43×#3584

Splittings

FittingC43×#3584 ⋊ C2
SylowC43 ⋊ C2×#3584

Subgroups

subgroupG/H
centerC4C22×D4×D43
commutator, cosocleC4×C43C26
FrattiniC4C25×D43
FittingC43×#3584C2
socleC2×C43C24×D4
hypercenter#3584D43
hypocenterC43C2×#3584
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×#41 ◁ #3584

10858 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, 1083395);