Finite Group Databasebeta

D43×#1564 #25065567

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productD43×#1564

Splittings

FittingC43×#1564 ⋊ C2
SylowC43 ⋊ C2×#1564

Subgroups

subgroupG/H
centerC42D4×D43
commutatorC4×C43C23×C8
FrattiniC42C23×D43
FittingC43×#1564C2
socleC22×C43C22×C4⋊C4
prime radicalC23×D43C4⋊C4
cosocleC42×C43C24
hypercenter#1564D43
hypocenterC43C2×#1564
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C2×C42 ◁ #1564

830 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, 138538);