Finite Group Databasebeta

D43×#2232 #25251351

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2232

Splittings

FittingC43×#2232 ⋊ C2
SylowC43 ⋊ C2×#2232

Subgroups

subgroupG/H
centerC22C2×D8×D43
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
FittingC43×#2232C2
socleC22×C43C22×D8
prime radical#466×D43C2
hypercenter#2232D43
hypocenterC43C2×#2232
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8 ◁ #2232

682 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 324322);