Finite Group Databasebeta

D43×#1476 #25062945

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productD43×#1476

Splittings

FittingC43×#1476 ⋊ C2
SylowC43 ⋊ C2×#1476

Subgroups

subgroupG/H
centerC42D4×D43
commutatorC4×C43C23×C8
FrattiniC42C23×D43
FittingC43×#1476C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#41×D43C4
cosocleC42×C43C24
hypercenter#1476D43
hypocenterC43C2×#1476
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C2×C42 ◁ #1476

1430 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 135916);