Finite Group Databasebeta

D43×#2062 #25124725

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD43×#2062

Splittings

FittingC43×#2062 ⋊ C2
SylowC43 ⋊ C2×#2062

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC24×C43C24
FrattiniC24C23×D43
FittingC43×#2062C2
socleC22×C43C2×#120
prime radicalC24×D43C23
hypercenter#2062D43
hypocenterC43C2×#2062
LCSG ▷ C24×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C24 ◁ #2062

1614 conjugacy classes of subgroups; only the 237 normal subgroups are shown.

normal subgroups only

This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 237 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 197696);