Finite Group Databasebeta

D43×#1451 #25062192

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1451

Splittings

FittingC43×#1451 ⋊ C2
SylowC43 ⋊ C2×#1451

Subgroups

subgroupG/H
center, FrattiniC42C23×D43
commutator, socleC22×C43C22×C42
FittingC43×#1451C2
prime radicalC23×D43C42
cosocleC42×C43C24
hypercenter#1451D43
hypocenterC43C2×#1451
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C42 ◁ #1451

966 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 135163);