Finite Group Databasebeta

#405×Dic43 #25093934

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43

Aliases

direct product#405×Dic43

Splittings

SylowC43 ⋊ C4×#405

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC2×C43C2×C43
FrattiniC22×C4C23×D43
FittingC2×C43×#405C2
socleC23×C43C23×C4
prime radicalC24×C43C22×C4
cosocleC22×C4×C43C24
hypercenterC2×#405D43
hypocenterC43C4×#405
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C2×#405

1526 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 166905);