Finite Group Databasebeta

D11×#2930 #15617631

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

Aliases

direct productD11×#2930

Splittings

FittingC11×#2930 ⋊ C2
SylowC11 ⋊ C2×#2930

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D11
commutator, socleC22×C11C24×C4
FittingC11×#2930C2
prime radicalD11×#525C2
cosocleC2×C4×C11C25
hypercenter#2930D11
hypocenterC11C2×#2930
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #2930

2870 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, 1033426);