Finite Group Databasebeta

D43×#2151 #25249577

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2151

Splittings

FittingC43×#2151 ⋊ C2
SylowC43 ⋊ C2×#2151

Subgroups

subgroupG/H
center, FrattiniC2×C8C23×D43
commutator, socleC22×C43C23×C8
FittingC43×#2151C2
prime radicalC23×D43C2×C8
cosocleC2×C8×C43C24
hypercenter#2151D43
hypocenterC43C2×#2151
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ #2151

734 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, 322548);