Finite Group Databasebeta

D43×#3416 #26003110

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD43×#3416

Splittings

FittingC43×#3416 ⋊ C2
SylowC43 ⋊ C2×#3416

Subgroups

subgroupG/H
centerC2C22×D8×D43
commutator, cosocleC8×C43C25
FrattiniC8C24×D43
FittingC43×#3416C2
socleC2×C43C23×D8
hypercenter#3416D43
hypocenterC43C2×#3416
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ #41 ◁ #131 ◁ #3416

2074 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076081);