Finite Group Databasebeta

D43×#1757 #25094293

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productD43×#1757

Splittings

FittingC43×#1757 ⋊ C2
SylowC43 ⋊ C2×#1757

Subgroups

subgroupG/H
centerC8C22⋊C4×D43
commutatorC22×C43C22×C42
FrattiniC22×C4C23×D43
FittingC43×#1757C2
socleC2×C43C2×C4×C22⋊C4
prime radicalC2×#41×D43C22
cosocleC22×C4×C43C24
hypercenter#1757D43
hypocenterC43C2×#1757
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C8 ◁ C22×C8 ◁ #1757

1474 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, 167264);