Finite Group Databasebeta

D43×#1436 #25017718

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productD43×#1436

Splittings

FittingC43×#1436 ⋊ C2
SylowC43 ⋊ C2×#1436

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC43×#1436C2
socle, cosocleC24×C43C24
prime radicalC24×D43C23
hypercenter#1436D43
hypocenterC43C2×#1436
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1436

3550 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, 90689);