Finite Group Databasebeta

D43×#1336 #25006386

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

Aliases

direct productD43×#1336

Splittings

FittingC43×#1336 ⋊ C2
SylowC43 ⋊ C2×#1336

Subgroups

subgroupG/H
centerC4#102×D43
commutatorC8×C43C22×C8
FrattiniC4×C8C22×D43
FittingC43×#1336C2
socleC2×C43C2×D4⋊C8
prime radical#135×D43C4
cosocleC4×C8×C43C23
hypercenter#1336D43
hypocenterC43C2×#1336
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×C8 ◁ C4×C8 ◁ #1336

398 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 79357);