D₃×C₈×H(3,𝔽₃) #13047804

order	1296
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₈ · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	D₃×C₈×H(3,𝔽₃)
unambiguous semidirect product	(C₃²×D₃×C₈)⋊C₃

Fitting	C₃×C₈×H(3,𝔽₃) ⋊ C₂
Sylow	C₃×H(3,𝔽₃) ⋊ C₂×C₈

310 conjugacy classes of subgroups; only the 105 normal subgroups are shown.

normal subgroups only

This group has 310 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.

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

μ_t(G) = 144

264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 1522);