C₃×#22582722 #41008636

order	26973
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁴×C₉

Aliases

direct product	C₃×#22582722
unambiguous semidirect product	(C₃₇⋊C₃)⋊#6887

Fitting	C₃²×C₉×C₃₇ ⋊ C₉
Sylow	C₃₇ ⋊ C₃×#6887

1052 conjugacy classes of subgroups; only the 450 normal subgroups are shown.

normal subgroups only

This group has 1052 conjugacy classes of subgroups — too many to draw. Only its 450 normal subgroups are shown.

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

μ_t(G) = 2997

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26973, 4407);