Finite Group Databasebeta

C2×#529×D43 #26003270

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

Aliases

direct productC2×#529×D43

Splittings

FittingC2×C43×#529 ⋊ C2
SylowC43 ⋊ C22×#529

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#529C2
socleC23×C43C25
prime radicalC2×#121×D43C2
hypercenterC2×#529D43
hypocenterC43C22×#529
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#529

8670 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, 1076241);