Finite Group Databasebeta

D43×#2117 #25249296

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productD43×#2117

Splittings

FittingC43×#2117 ⋊ C2
SylowC43 ⋊ C2×#2117

Subgroups

subgroupG/H
centerC8C2×D4×D43
commutatorC4×C43C23×C8
FrattiniC2×C8C23×D43
FittingC43×#2117C2
socleC2×C43C22×C22⋊C8
prime radicalC2×#41×D43C4
cosocleC2×C8×C43C24
hypercenter#2117D43
hypocenterC43C2×#2117
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C8 ◁ C22×C8 ◁ #2117

1154 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322267);