Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
300 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 117 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. #29504728 | C2 | semidirect |
| 4. C2×C8×Dic239 | C2 | semidirect |
| 5. #29504537 | C2 | semidirect |
| 6. #29504531 | C2 | semidirect |
| 9. #21439967 | C4 | semidirect |
| 16. #21439887 | C4 | semidirect |
| 23. #103×C239 | C4 | semidirect |
| 24. #102×C239 | C4 | semidirect |
| 98. C239 | #1764 | semidirect |
| 119. #103 | Dic239 | semidirect |
| 120. #102 | Dic239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439967 | 2 |
| C2×#21439887 | 2 |
| #29504728 | 2 |
| C2×C8×Dic239 | 2 |
| #29504537 | 2 |
| #29504531 | 2 |
| #416×C239 | 2 |
| #1764 | 239 |