Finite Group Databasebeta

C23×#13063301 #26003237

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

Aliases

direct productC23×#13063301

Splittings

FittingC24×Q8×C43 ⋊ C2
SylowC43 ⋊ C23×C22⋊Q8

Subgroups

subgroupG/H
centerC25C22×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC24×Q8×C43C2
socleC25×C43C23
prime radicalC25×D43C22
hypercenterC24×Q8D43
hypocenterC43C23×C22⋊Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C25 ◁ C24×Q8

14078 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, 1076208);