C₂₇⋊C₃×#4296 #28356876

order	13851
automorphism	?
homology	Abelianization (H₁) = C₃×C₉² · Schur multiplier (H₂) = C₃×C₉

Aliases

Fitting	C₁₉×C₂₇⋊C₃ ⋊ C₉
Sylow	C₁₉ ⋊ C₉×C₂₇⋊C₃

320 conjugacy classes of subgroups; only the 150 normal subgroups are shown.

normal subgroups only

This group has 320 conjugacy classes of subgroups — too many to draw. Only its 150 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, 4240);