Finite Group Databasebeta

D43×#2231 #25251329

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

Aliases

direct productD43×#2231

Splittings

FittingC43×#2231 ⋊ C2
SylowC43 ⋊ C2×#2231

Subgroups

subgroupG/H
centerC2#476×D43
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
FittingC43×#2231C2
socleC2×C43C2×#476
prime radical#135×D43C22
hypercenter#2231D43
hypocenterC43C2×#2231
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×C4 ◁ C4×C8 ◁ #2231

526 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 324300);