Finite Group Databasebeta

D43×#2121 #25249320

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD43×#2121

Splittings

FittingC43×#2121 ⋊ C2
SylowC43 ⋊ C2×#2121

Subgroups

subgroupG/H
centerC2C2×#99×D43
commutatorC23×C43C23×C4
FrattiniC2×D4C23×D43
FittingC43×#2121C2
socleC2×C43C22×#99
prime radical#534×D43C2
cosocleC2×D4×C43C24
hypercenter#2121D43
hypocenterC43C2×#2121
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ #2121

1494 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322291);