Finite Group Databasebeta

D43×#2110 #25249252

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

Aliases

direct productD43×#2110

Splittings

FittingC43×#2110 ⋊ C2
SylowC43 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC8C42×D43
commutatorC4×C43C22×C42
FrattiniC2×C8C23×D43
FittingC43×#2110C2
socleC2×C43C22×#97
prime radicalC23×D43M16
cosocleC2×C8×C43C24
hypercenter#2110D43
hypocenterC43C2×#2110
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C8 ◁ #2110

738 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, 322223);