Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
176 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 1. #29505120 | C2 | semidirect |
| 2. #29504974 | C2 | semidirect |
| 4. #29504849 | C2 | semidirect |
| 5. #29504522 | C2 | semidirect |
| 6. #29504515 | C2 | semidirect |
| 7. #332×C239 | C2 | semidirect |
| 84. C239 | #1701 | semidirect |
| 91. #332 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505120 | 2 |
| #29504974 | 2 |
| #29504968 | 2 |
| #29504849 | 2 |
| #29504522 | 2 |
| #29504515 | 2 |
| #332×C239 | 2 |
| #1701 | 239 |