Finite Group Databasebeta

C23×#13063311 #26003258

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213×C4

Aliases

direct productC23×#13063311

Splittings

FittingC23×C22⋊C4×C43 ⋊ C2
SylowC43 ⋊ C23×#124

Subgroups

subgroupG/H
centerC25C22×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC23×C22⋊C4×C43C2
socleC25×C43C23
prime radicalC24×C22⋊D43C2
hypercenterC23×C22⋊C4D43
hypocenterC43C23×#124
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C25 ◁ C23×C22⋊C4

14334 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076229);