C₃²×(C₂×D₃)⋊Dic₃ #13049004

order	1296
isoclinism	isoclinic class of #625
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₄ · Schur multiplier (H₂) = C₂²×C₃

Aliases

direct product	C₃²×(C₂×D₃)⋊Dic₃
unambiguous semidirect product	(C₂×D₃)⋊(C₃²×Dic₃)

C₃⁴ ⋊ C₂²⋊C₄

980 conjugacy classes of subgroups; only the 180 normal subgroups are shown.

normal subgroups only

This group has 980 conjugacy classes of subgroups — too many to draw. Only its 180 normal subgroups are shown.

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

μ_t(G) = 144

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 2722);