Finite Group Databasebeta

#387×Dic43 #25017775

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct product#387×Dic43

Splittings

SylowC43 ⋊ C4×#387

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC2×C43×#387C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×#387D43
hypocenterC43C4×#387
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#387

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, 90746);