Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
174 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 7. #16812500 | C9 | semidirect |
| 10. #16812499 | C9 | semidirect |
| 16. C9×C43⋊C9 | C9 | semidirect |
| 19. C43×C9⋊C9 | C9 | semidirect |
| 75. C9⋊C9 | C43⋊C9 | semidirect |
| 84. C43 | #10624470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23782782 | 3 |
| C43×#6887 | 3 |
| #10624470 | 43 |