Finite Group Databasebeta

#532×Dic43 #25255131

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#532×Dic43

Splittings

SylowC43 ⋊ C4×#532

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
Fitting, prime radicalC2×C43×#532C2
socle, cosocleC23×C43C25
hypercenterC2×#532D43
hypocenterC43C4×#532
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#532

3526 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, 328102);