C₃×(C₃⋊(C₃⋊C₃₂))⋊C₃ #72219093

order	2592
automorphism	?
homology	Abelianization (H₁) = C₃²×C₃₂ · Schur multiplier (H₂) = C₃²

Aliases

derived	C₃² ⋊ C₃²×C₃₂
Sylow	C₃×H(3,𝔽₃) ⋊ C₃₂

210 conjugacy classes of subgroups; only the 76 normal subgroups are shown.

normal subgroups only

This group has 210 conjugacy classes of subgroups — too many to draw. Only its 76 normal subgroups are shown.

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

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

maximal subgroup of	C₃×C₃₂×(C₃⋊D₃)⋊C₃, C₃×((C₃⋊D₃)⋊C₃)⋊C₃₂, C₃×#13134914
maximal normal subgroup of	C₃×C₃₂×(C₃⋊D₃)⋊C₃, C₃×((C₃⋊D₃)⋊C₃)⋊C₃₂, C₃×#13134914

Past the SmallGroups library coverage — no SmallGroups id.