Finite Group Databasebeta

#41×#10621873 #25978018

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#41×#10621873

Splittings

FittingC8×#41×C43 ⋊ C2
SylowC43 ⋊ SD16×#41

Subgroups

subgroupG/H
centerC2×C4C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC8×#41×C43C2
socleC22×C43C23×D4
prime radical#41×D172C2
hypercenterC8×#41D43
hypocenterC43SD16×#41
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C8×#41

2116 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1750 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1050989);