Finite Group Databasebeta

C2×#510×D43 #26003092

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#510×D43

Splittings

FittingC2×C43×#510 ⋊ C2
SylowC43 ⋊ C22×#510

Subgroups

subgroupG/H
centerC22C2×D8×D43
commutator, cosocleC8×C43C25
FrattiniC8C24×D43
FittingC2×C43×#510C2
socleC22×C43C22×D8
prime radicalC2×#135×D43C2
hypercenterC2×#510D43
hypocenterC43C22×#510
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8 ◁ C2×#510

2078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076063);