Finite Group Databasebeta

D11×#2948 #15617895

order2816
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD11×#2948

Splittings

FittingC11×#2948 ⋊ C2
SylowC11 ⋊ C2×#2948

Subgroups

subgroupG/H
centerC22C22×D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC11×#2948C2
socleC22×C11C23×D4
prime radicalC22×D8×D11C2
cosocleC2×C4×C11C25
hypercenter#2948D11
hypocenterC11C2×#2948
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #2948

3086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 1033690);