Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
872 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 237 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×C4×Dic478 | C2 | semidirect |
| 3. #29504674 | C2 | semidirect |
| 4. #29504672 | C2 | semidirect |
| 5. #29504632 | C2 | semidirect |
| 6. #29504631 | C2 | semidirect |
| 7. #29504619 | C2 | semidirect |
| 8. C4×C22⋊C4×C239 | C2 | semidirect |
| 10. C2×#16838548 | C4 | semidirect |
| 60. Dic478 | C22⋊C4 | semidirect |
| 85. C2×C4×C239 | #41 | semidirect |
| 114. C239 | #2341 | semidirect |
| 123. C4×C22⋊C4 | D239 | semidirect |
| 200. C2×C4 | #16838548 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#16838548 | 2 |
| C2×C4×Dic478 | 2 |
| #29504674 | 2 |
| #29504672 | 2 |
| #29504632 | 2 |
| #29504631 | 2 |
| #29504619 | 2 |
| C4×C22⋊C4×C239 | 2 |
| #2341 | 239 |