Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | #99×PSU(3,𝔽2) |
| Fitting | C32×#99 ⋊ Q8 |
| Sylow | C32 ⋊ Q8×#99 |
1459 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 1459 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
66 conjugacy classes — view the full character table.
| maximal subgroup of | #99×PSU(3,𝔽2)⋊C3, B(4,𝔽2)×PSU(3,𝔽2), #72252979, … |
| maximal normal subgroup of | #99×PSU(3,𝔽2)⋊C3, B(4,𝔽2)×PSU(3,𝔽2), #72252979, … |
Past the SmallGroups library coverage — no SmallGroups id.