Finite Group Databasebeta

D43×#2191 #25250484

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

Aliases

direct productD43×#2191

Splittings

FittingC43×#2191 ⋊ C2
SylowC43 ⋊ C2×#2191

Subgroups

subgroupG/H
centerC2#447×D43
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
FittingC43×#2191C2
socleC2×C43C2×#447
prime radical#575×D43C2
hypercenter#2191D43
hypocenterC43C2×#2191
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×M16 ◁ #2191

1128 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

460 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 323455);