Finite Group Databasebeta

D43×#1305 #24986925

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productD43×#1305

Splittings

FittingC43×#1305 ⋊ C2
SylowC43 ⋊ C2×#1305

Subgroups

subgroupG/H
centerC22#95×D43
commutatorC23×C43C2×C42
FrattiniC23×C4C22×D43
FittingC43×#1305C2
socleC22×C43C2×#95
prime radicalC24×D43C2×C4
cosocleC23×C4×C43C23
hypercenter#1305D43
hypocenterC43C2×#1305
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1305

986 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 59896);