D₃×A₄×D₈ #11923320

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃ · Schur multiplier (H₂) = C₂⁴

Aliases

direct product	D₃×A₄×D₈
unambiguous semidirect product	(C₂²×D₃×D₈)⋊C₃

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

normal subgroups only

This group has 934 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×D₈×S₄, D₃×#85457, D₃×A₄×AGL(1,ℤ/8)
maximal normal subgroup of	D₃×D₈×S₄, D₃×#85457, D₃×A₄×AGL(1,ℤ/8)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 157331);