Finite Group Databasebeta

C2×#536×D43 #26003400

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

Aliases

direct productC2×#536×D43

Splittings

FittingC2×C43×#536 ⋊ C2
SylowC43 ⋊ C22×#536

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#536C2
socleC23×C43C25
prime radicalC22×#41×D43C2
hypercenterC2×#536D43
hypocenterC43C22×#536
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#536

11406 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076371);