Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
362 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#21439891 | C2 | semidirect |
| 4. #29504668 | C2 | semidirect |
| 5. #29504535 | C2 | semidirect |
| 6. #29504526 | C2 | semidirect |
| 18. #21439881 | C4 | semidirect |
| 33. C2×C239⋊C8 | C2×C4 | semidirect |
| 36. C4⋊Dic239 | C2×C4 | semidirect |
| 81. D4×C239 | C4⋊C4 | semidirect |
| 123. C239 | #1864 | semidirect |
| 191. D4 | Dic239⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic239 | 2 |
| C2×#21439891 | 2 |
| C2×#21439881 | 2 |
| #29504668 | 2 |
| #29504535 | 2 |
| #29504526 | 2 |
| C2×#102×C239 | 2 |
| #1864 | 239 |