Finite Group Databasebeta

D43×#1851 #25097249

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD43×#1851

Splittings

FittingC43×#1851 ⋊ C2
SylowC43 ⋊ C2×#1851

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC43×#1851C2
prime radicalC24×D43C2×C4
cosocleC22×C4×C43C24
hypercenter#1851D43
hypocenterC43C2×#1851
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1851

1702 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, 170220);