Finite Group Databasebeta

C2×#347×D43 #25249249

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#347×D43

Splittings

FittingC2×C43×#347 ⋊ C2
SylowC43 ⋊ C22×#347

Subgroups

subgroupG/H
centerC2×C4C42×D43
commutatorC4×C43C22×C42
FrattiniC2×C8C23×D43
FittingC2×C43×#347C2
socleC22×C43C2×#97
prime radicalC23×D43M16
cosocleC2×C8×C43C24
hypercenterC2×#347D43
hypocenterC43C22×#347
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×#347

782 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, 322220);