Finite Group Databasebeta

D43×#1438 #25018252

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C210

Aliases

direct productD43×#1438

Splittings

FittingC43×#1438 ⋊ C2
SylowC43 ⋊ C2×#1438

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×#1438C2
socle, cosocleC24×C43C24
prime radicalC23×D4×D43C2
hypercenter#1438D43
hypocenterC43C2×#1438
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1438

8190 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, 91223);