C₃×3₋¹⁺²⋊#66526 #41008505

order	26973
automorphism	?
homology	Abelianization (H₁) = C₃²×C₉ · Schur multiplier (H₂) = C₃³

Aliases

direct product	C₃×3₋¹⁺²⋊#66526
unambiguous semidirect product	(C₃₇⋊C₃)⋊(3₋¹⁺²⋊C₉)

Fitting	C₃×3₋¹⁺²×C₃₇ ⋊ C₉
Sylow	C₃₇ ⋊ C₃×3₋¹⁺²⋊C₉

572 conjugacy classes of subgroups; only the 108 normal subgroups are shown.

normal subgroups only

This group has 572 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.

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

μ_t(G) = 999

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26973, 4276);