C₄×Dic₃×SL(2,𝔽₃) #11921262

order	1152
automorphism	?
homology	Abelianization (H₁) = C₃×C₄² · Schur multiplier (H₂) = C₄

Aliases

direct product	C₄×Dic₃×SL(2,𝔽₃)
unambiguous semidirect product	C₃⋊(C₄²×SL(2,𝔽₃))
unambiguous semidirect product	(C₄×Q₈×Dic₃)⋊C₃

C₃×Q₈ ⋊ C₃×C₄²

493 conjugacy classes of subgroups; only the 127 normal subgroups are shown.

normal subgroups only

This group has 493 conjugacy classes of subgroups — too many to draw. Only its 127 normal subgroups are shown.

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

μ_t(G) = 384

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 155273);