Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #29505240 | C2 | semidirect |
| 3. #29504788 | C2 | semidirect |
| 4. C2×#21439886 | C2 | semidirect |
| 5. #29504745 | C2 | semidirect |
| 6. #29504533 | C2 | semidirect |
| 7. #344×C239 | C2 | semidirect |
| 11. #21439993 | C4 | semidirect |
| 13. #21439988 | C4 | semidirect |
| 37. C2×Dic478 | C2×C4 | semidirect |
| 39. C2×D956 | C2×C4 | semidirect |
| 64. M16×C239 | C2×C4 | semidirect |
| 129. C239 | #1906 | semidirect |
| 136. #344 | D239 | semidirect |
| 185. M16 | C4×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505572 | 2 |
| #29505240 | 2 |
| #29504788 | 2 |
| C2×#21439886 | 2 |
| #29504745 | 2 |
| #29504533 | 2 |
| #344×C239 | 2 |
| #1906 | 239 |