Finite Group Databasebeta

#382×Dic43 #25017827

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct product#382×Dic43

Splittings

SylowC43 ⋊ C4×#382

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC2×C43×#382C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×#382D43
hypocenterC43C4×#382
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#382

1742 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, 90798);