Finite Group Databasebeta

#399×Dic43 #25018428

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

Aliases

direct product#399×Dic43

Splittings

SylowC43 ⋊ C4×#399

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C43×#399C2
socle, cosocleC24×C43C24
prime radicalC25×C43C23
hypercenterC2×#399D43
hypocenterC43C4×#399
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#399

1966 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, 91399);