Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
272 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 63 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. #29504826 | C2 | semidirect |
| 3. #29504617 | C2 | semidirect |
| 4. #29504507 | C2 | semidirect |
| 5. #29504506 | C2 | semidirect |
| 6. #29504505 | C2 | semidirect |
| 7. #327×C239 | C2 | semidirect |
| 9. #21439959 | C4 | semidirect |
| 10. #21439956 | C4 | semidirect |
| 14. D4×Dic239 | C4 | semidirect |
| 15. #21439922 | C4 | semidirect |
| 119. C239 | #1505 | semidirect |
| 127. #327 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505317 | 2 |
| #29504826 | 2 |
| #29504617 | 2 |
| #29504507 | 2 |
| #29504506 | 2 |
| #29504505 | 2 |
| #327×C239 | 2 |
| #1505 | 239 |