Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
314 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 85 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. #29505250 | C2 | semidirect |
| 4. #29504529 | C2 | semidirect |
| 5. C2×#101×C239 | C2 | semidirect |
| 7. #21439958 | C4 | semidirect |
| 8. #21439949 | C4 | semidirect |
| 81. C239 | #1912 | semidirect |
| 86. C2×#101 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505346 | 2 |
| #29505250 | 2 |
| #29504788 | 2 |
| #29504529 | 2 |
| C2×#101×C239 | 2 |
| #1912 | 239 |