D₃×C₉×SL(2,𝔽₃) #13048432

order	1296
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	D₃×C₉×SL(2,𝔽₃)
unambiguous semidirect product	C₃⋊(C₂×C₉×SL(2,𝔽₃))

Fitting	C₃×Q₈×C₉ ⋊ C₂×C₃
derived	C₃×Q₈ ⋊ C₂×C₃×C₉

211 conjugacy classes of subgroups; only the 51 normal subgroups are shown.

normal subgroups only

This group has 211 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.

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

μ_t(G) = 144

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 2150);