Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 1. #29505538 | C2 | semidirect |
| 3. #29504789 | C2 | semidirect |
| 4. #29504745 | C2 | semidirect |
| 5. #29504533 | C2 | semidirect |
| 6. #29504531 | C2 | semidirect |
| 7. #421×C239 | C2 | semidirect |
| 13. #21439958 | C4 | semidirect |
| 14. #21439956 | C4 | semidirect |
| 15. #21439949 | C4 | semidirect |
| 16. #21439947 | C4 | semidirect |
| 38. #16838532 | D4 | semidirect |
| 61. M16×C239 | D4 | semidirect |
| 125. C239 | #1884 | semidirect |
| 130. #421 | D239 | semidirect |
| 176. M16 | C22⋊D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505538 | 2 |
| #29505318 | 2 |
| #29504789 | 2 |
| #29504745 | 2 |
| #29504533 | 2 |
| #29504531 | 2 |
| #421×C239 | 2 |
| #1884 | 239 |