Finite Group Databasebeta

D43×#1706 #25084236

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

Aliases

direct productD43×#1706

Splittings

FittingC43×#1706 ⋊ C2
SylowC43 ⋊ C2×#1706

Subgroups

subgroupG/H
centerC22#127×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1706C2
socleC22×C43C2×#127
prime radical#493×D43C2
hypercenter#1706D43
hypocenterC43C2×#1706
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1706

1046 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, 157207);