Finite Group Databasebeta

#537×Dic43 #25255655

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

Aliases

direct product#537×Dic43

Splittings

SylowC43 ⋊ C4×#537

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
Fitting, prime radicalC2×C43×#537C2
socle, cosocleC23×C43C25
hypercenterC2×#537D43
hypocenterC43C4×#537
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#537

3186 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328626);