Finite Group Databasebeta

D43×#1274 #24985991

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C42

Aliases

direct productD43×#1274

Splittings

FittingC43×#1274 ⋊ C2
SylowC43 ⋊ C2×#1274

Subgroups

subgroupG/H
centerC2×C4C42×D43
commutatorC4×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC43×#1274C2
socleC22×C43C2×#95
prime radicalC23×D43C22⋊C4
cosocleC2×C42×C43C23
hypercenter#1274D43
hypocenterC43C2×#1274
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #1274

758 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, 58962);