C₂³×3₋¹⁺²⋊C₈ #13153559

order	1728
isoclinism	isoclinic class of AGL(1,ℤ/9)
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

derived	C₉ ⋊ C₂³×C₃×C₈
Sylow	3₋¹⁺² ⋊ C₂³×C₈

1132 conjugacy classes of subgroups; only the 692 normal subgroups are shown.

normal subgroups only

This group has 1132 conjugacy classes of subgroups — too many to draw. Only its 692 normal subgroups are shown.

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

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 19622);