Finite Group Databasebeta

#546×Dic43 #25256406

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

Aliases

direct product#546×Dic43

Splittings

SylowC43 ⋊ C4×#546

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
Fitting, prime radicalC2×C43×#546C2
socle, cosocleC23×C43C25
hypercenterC2×#546D43
hypocenterC43C4×#546
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#546

3720 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 329377);