Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
348 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 69 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×#21439993 | C2 | semidirect |
| 3. #29505343 | C2 | semidirect |
| 4. #29504780 | C2 | semidirect |
| 5. #29504745 | C2 | semidirect |
| 6. #29504544 | C2 | semidirect |
| 7. #421×C239 | C2 | semidirect |
| 136. C239 | #2009 | semidirect |
| 141. #421 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505570 | 2 |
| C2×#21439993 | 2 |
| #29505343 | 2 |
| #29504780 | 2 |
| #29504745 | 2 |
| #29504544 | 2 |
| #421×C239 | 2 |
| #2009 | 239 |