Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
1104 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 1104 conjugacy classes of subgroups — too many to draw. Only its 229 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×#21439916 | C2 | semidirect |
| 3. #29504672 | C2 | semidirect |
| 4. #29504628 | C2 | semidirect |
| 5. #29504627 | C2 | semidirect |
| 6. #379×C239 | C2 | semidirect |
| 9. C22×C22⋊D239 | C4 | semidirect |
| 13. C2×Dic239⋊C4 | C22 | semidirect |
| 15. C2×C22⋊Dic239 | C22 | semidirect |
| 16. C2×(C2×D239)⋊C4 | C22 | semidirect |
| 17. C2×C4×Dic239 | C22 | semidirect |
| 20. C2×C22⋊C4×C239 | C22 | semidirect |
| 55. C2×Dic239 | C22⋊C4 | semidirect |
| 96. C239 | #2309 | semidirect |
| 103. #379 | D239 | semidirect |
| 116. C2×C22⋊C4 | C2×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C22⋊D239 | 2 |
| C2×#21439916 | 2 |
| #29504672 | 2 |
| #29504628 | 2 |
| #29504627 | 2 |
| #379×C239 | 2 |
| #2309 | 239 |