C₃⋊C₈×C₃²⋊C₉ #14516283

order	1944
automorphism	?
homology	Abelianization (H₁) = C₃×C₈×C₉ · Schur multiplier (H₂) = C₃²

Aliases

direct product	C₃⋊C₈×C₃²⋊C₉
unambiguous semidirect product	C₃⋊(C₈×C₃²⋊C₉)
unambiguous semidirect product	(C₃²×C₃⋊C₈)⋊C₉

331 conjugacy classes of subgroups; only the 98 normal subgroups are shown.

normal subgroups only

This group has 331 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 677);