Finite Group Databasebeta

D43×#2884 #25960068

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD43×#2884

Splittings

FittingC43×#2884 ⋊ C2
SylowC43 ⋊ C2×#2884

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC43×#2884C2
socleC2×C43C23×C22⋊C4
prime radicalC2×2−1+4×D43C2
cosocleC23×C43C25
hypercenter#2884D43
hypocenterC43C2×#2884
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C22×Q8 ◁ #2884

4818 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

943 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033039);