Finite Group Databasebeta

#392×Dic43 #25018385

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct product#392×Dic43

Splittings

SylowC43 ⋊ C4×#392

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
Fitting, prime radicalC2×C43×#392C2
socle, cosocleC24×C43C24
hypercenterC2×#392D43
hypocenterC43C4×#392
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#392

3502 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, 91356);