Finite Group Databasebeta

C2×#380×D43 #25254853

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C211

Aliases

direct productC2×#380×D43

Splittings

FittingC2×C43×#380 ⋊ C2
SylowC43 ⋊ C22×#380

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC2×C43×#380C2
socleC24×C43C24
prime radicalC25×D43C22
cosocleC23×C43C25
hypercenterC2×#380D43
hypocenterC43C22×#380
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#380

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, 327824);