Finite Group Databasebeta

D43×#1335 #25006378

order11008
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productD43×#1335

Splittings

FittingC43×#1335 ⋊ C2
SylowC43 ⋊ C2×#1335

Subgroups

subgroupG/H
centerC8D8×D43
commutatorC8×C43C22×C8
FrattiniC4×C8C22×D43
FittingC43×#1335C2
socleC2×C43C2×D4⋊C8
prime radical#135×D43C4
cosocleC4×C8×C43C23
hypercenter#1335D43
hypocenterC43C2×#1335
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C8 ◁ C2×C8 ◁ C4×C8 ◁ #1335

414 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, 79349);