C₃×#10624709 #14554149

order	2187
nilpotency class	3
isoclinism	isoclinic class of #6875
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁵

Aliases

800 conjugacy classes of subgroups; only the 584 normal subgroups are shown.

normal subgroups only

This group has 800 conjugacy classes of subgroups — too many to draw. Only its 584 normal subgroups are shown.

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

minimal degree	μ(G) = 84
transitive degree	μ_t(G) = 243

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2187, 8008);