C₂×C₃×Dic₉⋊C₉ #14517410

order	1944
isoclinism	isoclinic class of AGL(1,ℤ/9)
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₄×C₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃×Dic₉⋊C₉
unambiguous semidirect product	(C₂×C₃×Dic₉)⋊C₉

derived	C₉ ⋊ C₂×C₃×C₄×C₉
Sylow	C₃×C₉⋊C₉ ⋊ C₂×C₄

390 conjugacy classes of subgroups; only the 160 normal subgroups are shown.

normal subgroups only

This group has 390 conjugacy classes of subgroups — too many to draw. Only its 160 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1804);