Finite Group Databasebeta

C22×D8×Dic43 #25960599

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC22×D8×Dic43

Splittings

SylowC43 ⋊ C22×C4×D8

Subgroups

subgroupG/H
centerC24D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
Fitting, prime radicalC23×D8×C43C2
socleC24×C43C2×D4
cosocleC2×C4×C43C25
hypercenterC23×D8D43
hypocenterC43C22×C4×D8
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×D8

3694 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, 1033570);