C₃×D₃×Q₈×C₉ #13048859

order	1296
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₉ · Schur multiplier (H₂) = C₂²×C₃

Aliases

C₃×D₃×Q₈×C₉

Fitting	C₃²×Q₈×C₉ ⋊ C₂
Sylow	C₃²×C₉ ⋊ C₂×Q₈

470 conjugacy classes of subgroups; only the 250 normal subgroups are shown.

normal subgroups only

This group has 470 conjugacy classes of subgroups — too many to draw. Only its 250 normal subgroups are shown.

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

μ_t(G) = 432

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 2577);