Finite Group Databasebeta

#400×Dic43 #25018447

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#400×Dic43

Splittings

SylowC43 ⋊ C4×#400

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C43×#400C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×#400D43
hypocenterC43C4×#400
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#400

1398 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, 91418);