Finite Group Databasebeta

D43×#1707 #25084242

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productD43×#1707

Splittings

FittingC43×#1707 ⋊ C2
SylowC43 ⋊ C2×#1707

Subgroups

subgroupG/H
centerC22#127×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1707C2
socleC22×C43C2×#127
prime radicalC22×D43#127
hypercenter#1707D43
hypocenterC43C2×#1707
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1707

814 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 157213);