Finite Group Databasebeta

D43×#1726 #25093922

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C42

Aliases

direct productD43×#1726

Splittings

FittingC43×#1726 ⋊ C2
SylowC43 ⋊ C2×#1726

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC2×C43C2×C43
FrattiniC22×C4C23×D43
FittingC43×#1726C2
socleC23×C43C23×C4
prime radicalC23×D43C22×C4
cosocleC22×C4×C43C24
hypercenter#1726D43
hypocenterC43C2×#1726
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ #1726

1614 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 166893);