Finite Group Databasebeta

← Prev (#25104006) Next (#25104008) →

C8×#13063302 #25104007

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC8×#13063302

Splittings

SylowC43 ⋊ C8×C22⋊Q8

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC22×C43C23×C8
FrattiniC22×C4C23×D43
FittingC8×C22⋊C4×C43C2
socleC23×C43C23×C4
prime radicalC24×C43C22×C4
cosocleC22×C4×C43C24
hypercenterC8×C22⋊C4D43
hypocenterC43C8×C22⋊Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C8×C22⋊C4

990 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 176978);