Finite Group Databasebeta

D43×#3285 #25971854

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

Aliases

direct productD43×#3285

Splittings

FittingC43×#3285 ⋊ C2
SylowC43 ⋊ C2×#3285

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3285C2
socleC22×C43C23×D4
hypercenter#3285D43
hypocenterC43C2×#3285
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3285

2794 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1044825);