Finite Group DatabasebetaFinite Group Databasebeta| order | 4374 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33 · Schur multiplier (H2) = C33 |
| direct product | C3×C3⋊#92265 |
| Fitting, Sylow | C32×#6900 ⋊ C2 |
3940 conjugacy classes of subgroups; only the 264 normal subgroups are shown.
This group has 3940 conjugacy classes of subgroups — too many to draw. Only its 264 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72222308, #72222313, #72222315, … |
| maximal normal subgroup of | C3×D3×#92265, C3×#72214284, C3×#72214299, … |
| maximal quotient of | #72243278 |
Past the SmallGroups library coverage — no SmallGroups id.