Finite Group Databasebeta

D43×#2177 #25249896

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD43×#2177

Splittings

FittingC43×#2177 ⋊ C2
SylowC43 ⋊ C2×#2177

Subgroups

subgroupG/H
centerC22C2×D8×D43
commutatorC8×C43C23×C4
FrattiniC2×C8C23×D43
FittingC43×#2177C2
socleC22×C43C22×D8
prime radicalC2×D16×D43C2
cosocleC2×C8×C43C24
hypercenter#2177D43
hypocenterC43C2×#2177
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ C4×C8 ◁ #2177

798 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322867);