C₉×C₁₃×C₃²⋊C₉ #23744696

order	9477
nilpotency class	2
isoclinism	isoclinic class of H(3,𝔽₃)
automorphism	?
homology	Abelianization (H₁) = C₃×C₉²×C₁₃ · Schur multiplier (H₂) = C₃³×C₉

Aliases

direct product	C₉×C₁₃×C₃²⋊C₉
unambiguous semidirect product	C₃²⋊(C₉²×C₁₃)

662 conjugacy classes of subgroups; only the 332 normal subgroups are shown.

normal subgroups only

This group has 662 conjugacy classes of subgroups — too many to draw. Only its 332 normal subgroups are shown.

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

3861 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 105);