C₃×H(3,𝔽₃)×#4296 #28357044

order	13851
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁷

Aliases

direct product	C₃×H(3,𝔽₃)×#4296
unambiguous semidirect product	(C₁₉⋊C₃)⋊(C₉×H(3,𝔽₃))

Fitting	C₃×C₁₉×H(3,𝔽₃) ⋊ C₉
Sylow	C₁₉ ⋊ C₃×C₉×H(3,𝔽₃)

1688 conjugacy classes of subgroups; only the 468 normal subgroups are shown.

normal subgroups only

This group has 1688 conjugacy classes of subgroups — too many to draw. Only its 468 normal subgroups are shown.

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

μ_t(G) = 513

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 4408);