Finite Group Databasebeta

D43×#2165 #25249715

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

Aliases

direct productD43×#2165

Splittings

FittingC43×#2165 ⋊ C2
SylowC43 ⋊ C2×#2165

Subgroups

subgroupG/H
centerC4#117×D43
commutatorC2×C4×C43C23×C4
FrattiniC2×C8C23×D43
FittingC43×#2165C2
socleC2×C43C2×#432
prime radicalC23×D43M16
cosocleC2×C8×C43C24
hypercenter#2165D43
hypocenterC43C2×#2165
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ #97 ◁ #2165

570 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322686);