C₉×C₄⋊SL(2,ℤ/4) #13146776

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₉ · Schur multiplier (H₂) = C₂²

Aliases

direct product	C₉×C₄⋊SL(2,ℤ/4)
unambiguous semidirect product	C₄⋊(C₉×SL(2,ℤ/4))

359 conjugacy classes of subgroups; only the 81 normal subgroups are shown.

normal subgroups only

This group has 359 conjugacy classes of subgroups — too many to draw. Only its 81 normal subgroups are shown.

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

μ_t(G) = 432

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 12839);