Finite Group Databasebeta

D43×#1275 #24986011

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct productD43×#1275

Splittings

FittingC43×#1275 ⋊ C2
SylowC43 ⋊ C2×#1275

Subgroups

subgroupG/H
centerC2×C4C42×D43
commutatorC4×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC43×#1275C2
socleC22×C43C2×#95
prime radicalC23×D43C4⋊C4
cosocleC2×C42×C43C23
hypercenter#1275D43
hypocenterC43C2×#1275
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #1275

678 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, 58982);