Finite Group Databasebeta

C11×#10624905 #22548428

order8019
nilpotency class2
automorphism?
homologyAbelianization (H1) = C34×C11 · Schur multiplier (H2) = C34

Aliases

direct productC11×#10624905

Subgroups

subgroupG/H
center, socleC32×C11C34
commutator, FrattiniC32C34×C11
LCSG ▷ C32 ▷ C1
UCSC1 ◁ C32×C11 ◁ G

788 conjugacy classes of subgroups; only the 446 normal subgroups are shown.

normal subgroups only

This group has 788 conjugacy classes of subgroups — too many to draw. Only its 446 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Full subgroup data →

Conjugacy classes & character table

1331 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8019, 465);