Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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. C2×#21439958 | C2 | semidirect |
| 5. C2×#21439878 | C2 | semidirect |
| 6. #29504531 | C2 | semidirect |
| 7. #419×C239 | C2 | semidirect |
| 125. C239 | #2005 | semidirect |
| 131. #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 |
| #29505348 | 2 |
| C2×#21439958 | 2 |
| C2×#21439886 | 2 |
| C2×#21439878 | 2 |
| #29504531 | 2 |
| #419×C239 | 2 |
| #2005 | 239 |