Finite Group Databasebeta

#520×Dic43 #25254842

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

Aliases

direct product#520×Dic43

Splittings

SylowC43 ⋊ C4×#520

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC2×C43C23×C42
FittingC2×C43×#520C2
socle, cosocleC23×C43C25
prime radicalC22×#41×C43C22
hypercenterC2×#520D43
hypocenterC43C4×#520
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#520

3698 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, 327813);