Finite Group Databasebeta

D43×#1331 #25006326

order11008
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C24

Aliases

direct productD43×#1331

Splittings

FittingC43×#1331 ⋊ C2
SylowC43 ⋊ C2×#1331

Subgroups

subgroupG/H
centerC2×C4D8×D43
commutatorC8×C43C22×C8
FrattiniC4×C8C22×D43
FittingC43×#1331C2
socleC22×C43C2×#102
prime radicalC2×D8×D43C4
cosocleC4×C8×C43C23
hypercenter#1331D43
hypocenterC43C2×#1331
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×C8 ◁ #1331

470 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, 79297);