Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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×#21439966 | C2 | semidirect |
| 3. C2×#21439887 | C2 | semidirect |
| 4. C2×#21439886 | C2 | semidirect |
| 5. #29504536 | C2 | semidirect |
| 6. #29504526 | C2 | semidirect |
| 7. #408×C239 | C2 | semidirect |
| 11. C2×#16838538 | C4 | semidirect |
| 12. C2×#16838536 | C4 | semidirect |
| 13. C2×#16838535 | C4 | semidirect |
| 14. C2×#16838533 | C4 | semidirect |
| 130. C239 | #1876 | semidirect |
| 136. #408 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439980 | 2 |
| C2×#21439966 | 2 |
| C2×#21439887 | 2 |
| C2×#21439886 | 2 |
| #29504536 | 2 |
| #29504526 | 2 |
| #408×C239 | 2 |
| #1876 | 239 |