Finite Group Databasebeta

C23×#13063346 #26010383

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC23×#13063346

Splittings

FittingC23×SD16×C43 ⋊ C2
SylowC43 ⋊ C23×#135

Subgroups

subgroupG/H
centerC24D4×D43
commutator, cosocleC4×C43C26
FrattiniC4C25×D43
FittingC23×SD16×C43C2
socleC24×C43C2×D4
hypercenterC23×SD16D43
hypocenterC43C23×#135
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×SD16

11422 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1083354);