D₃×A₄×SD₁₆ #11923323

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃ · Schur multiplier (H₂) = C₂³

Aliases

direct product	D₃×A₄×SD₁₆
unambiguous semidirect product	(C₂²×D₃×SD₁₆)⋊C₃

820 conjugacy classes of subgroups; only the 87 normal subgroups are shown.

normal subgroups only

This group has 820 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.

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

μ_t(G) = 72

maximal subgroup of	D₃×#85460, D₃×SD₁₆×S₄, D₃×A₄×AGL(1,ℤ/8), …
maximal normal subgroup of	D₃×#85460, D₃×SD₁₆×S₄, D₃×A₄×AGL(1,ℤ/8)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 157334);