Finite Group Databasebeta

D43×#2112 #25249263

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

Aliases

direct productD43×#2112

Splittings

FittingC43×#2112 ⋊ C2
SylowC43 ⋊ C2×#2112

Subgroups

subgroupG/H
center, FrattiniC2×C8C23×D43
commutator, socleC22×C43C23×C8
FittingC43×#2112C2
prime radicalC24×D43C8
cosocleC2×C8×C43C24
hypercenter#2112D43
hypocenterC43C2×#2112
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ #2112

1406 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, 322234);