C₃²×C₃²⋊#4296 #28357040

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

Aliases

direct product	C₃²×C₃²⋊#4296
unambiguous semidirect product	(C₁₉⋊C₃)⋊(C₃×C₃²⋊C₉)
unambiguous semidirect product	(C₃×#4296)⋊C₃³

Fitting	C₃⁴×C₁₉ ⋊ C₉
Sylow	C₁₉ ⋊ C₃²×C₃²⋊C₉

2996 conjugacy classes of subgroups; only the 630 normal subgroups are shown.

normal subgroups only

This group has 2996 conjugacy classes of subgroups — too many to draw. Only its 630 normal subgroups are shown.

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

μ_t(G) = 1539

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 4404);