Finite Group Databasebeta

D11×#2884 #15617244

order2816
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD11×#2884

Splittings

FittingC11×#2884 ⋊ C2
SylowC11 ⋊ C2×#2884

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC11×#2884C2
socleC2×C11C23×C22⋊C4
prime radicalC2×D11×2−1+4C2
cosocleC23×C11C25
hypercenter#2884D11
hypocenterC11C2×#2884
LCSG ▷ C22×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2 ◁ C22×Q8 ◁ #2884

4818 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 352

Conjugacy classes & character table

287 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 1033039);