Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
320 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. C4×#16838532 | C2 | semidirect |
| 4. #29504532 | C2 | semidirect |
| 5. #376×C239 | C2 | semidirect |
| 8. C4×Dic478 | C4 | semidirect |
| 9. C4×D956 | C4 | semidirect |
| 14. #21439888 | C4 | semidirect |
| 28. #16838532 | C2×C4 | semidirect |
| 41. C42×C239 | C2×C4 | semidirect |
| 82. C239 | #1759 | semidirect |
| 87. #376 | D239 | semidirect |
| 124. C42 | C4×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#16838548 | 2 |
| C2×#21439888 | 2 |
| C4×#16838532 | 2 |
| #29504532 | 2 |
| #376×C239 | 2 |
| #1759 | 239 |