Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
434 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 130 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #23782782 | C3 | semidirect |
| 2. #23782716 | C3 | semidirect |
| 3. #23782714 | C3 | semidirect |
| 15. C32×C9×C43 | C9 | semidirect |
| 69. C32×C9 | C43⋊C9 | semidirect |
| 77. C43 | #10624688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23782782 | 3 |
| #23782716 | 3 |
| #23782714 | 3 |
| #23782712 | 3 |
| C33×C9×C43 | 3 |
| #10624688 | 43 |