Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
310 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 85 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. #29505250 | C2 | semidirect |
| 5. #29504544 | C2 | semidirect |
| 6. #29504528 | C2 | semidirect |
| 7. #419×C239 | C2 | semidirect |
| 11. C2×#16838538 | C4 | semidirect |
| 12. C2×#16838535 | C4 | semidirect |
| 109. C239 | #1905 | semidirect |
| 114. #419 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439991 | 2 |
| #29505250 | 2 |
| #29504788 | 2 |
| #29504745 | 2 |
| #29504544 | 2 |
| #29504528 | 2 |
| #419×C239 | 2 |
| #1905 | 239 |