Finite Group Databasebeta

#388×Dic43 #25017756

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

Aliases

direct product#388×Dic43

Splittings

SylowC43 ⋊ C4×#388

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC2×C43×#388C2
socle, cosocleC24×C43C24
prime radicalC25×C43C23
hypercenterC2×#388D43
hypocenterC43C4×#388
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#388

2134 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, 90727);