Finite Group Databasebeta

#519×Dic43 #25254849

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct product#519×Dic43

Splittings

SylowC43 ⋊ C4×#519

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC2×C43C23×C42
FittingC2×C43×#519C2
socle, cosocleC23×C43C25
prime radicalC24×C43C24
hypercenterC2×#519D43
hypocenterC43C4×#519
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#519

3402 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327820);