Finite Group DatabasebetaFinite Group DatabasebetaOrder 36544.
154 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 2. C2×#22603717 | C2 | semidirect |
| 3. #32912622 | C2 | semidirect |
| 4. #117×C571 | C2 | semidirect |
| 7. #22603733 | C4 | semidirect |
| 9. C2×Dic1142 | C4 | semidirect |
| 10. C2×D2284 | C4 | semidirect |
| 14. #22603717 | C22 | semidirect |
| 19. C42×C571 | C22 | semidirect |
| 56. C571 | #421 | semidirect |
| 60. #117 | D571 | semidirect |
| 76. C42 | C2×D571 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22603733 | 2 |
| C2×#22603717 | 2 |
| #32912622 | 2 |
| #117×C571 | 2 |
| #421 | 571 |