Finite Group Databasebeta

D43×#1817 #25096295

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C27

Aliases

direct productD43×#1817

Splittings

FittingC43×#1817 ⋊ C2
SylowC43 ⋊ C2×#1817

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D43
commutatorC22×C43C23×C8
FittingC43×#1817C2
socleC23×C43C23×C4
prime radicalC24×D43C2×C4
cosocleC22×C4×C43C24
hypercenter#1817D43
hypocenterC43C2×#1817
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1817

2110 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, 169266);