Finite Group Databasebeta

C2×#341×D43 #25094012

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27

Aliases

direct productC2×#341×D43

Splittings

FittingC2×C43×#341 ⋊ C2
SylowC43 ⋊ C22×#341

Subgroups

subgroupG/H
centerC22×C4D4×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC2×C43×#341C2
socleC23×C43C2×C4⋊C4
prime radicalC24×D43Q8
cosocleC22×C4×C43C24
hypercenterC2×#341D43
hypocenterC43C22×#341
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#341

2238 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, 166983);