Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×Dic478 | C2 | semidirect |
| 4. #29504678 | C2 | semidirect |
| 6. #29504664 | C2 | semidirect |
| 7. #29504646 | C2 | semidirect |
| 8. #29504642 | C2 | semidirect |
| 9. #376×C239 | C2 | semidirect |
| 13. #21439948 | C4 | semidirect |
| 33. C2×Dic478 | C2×C4 | semidirect |
| 48. (C2×D239)⋊C4 | C2×C4 | semidirect |
| 56. C42×C239 | C2×C4 | semidirect |
| 111. C239 | #2326 | semidirect |
| 121. #376 | D239 | semidirect |
| 168. C42 | C4×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439948 | 2 |
| C2×C4×Dic478 | 2 |
| C2×C4×D956 | 2 |
| #29504678 | 2 |
| #29504674 | 2 |
| #29504664 | 2 |
| #29504646 | 2 |
| #29504642 | 2 |
| #376×C239 | 2 |
| #2326 | 239 |