Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
154 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 154 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. #29505122 | C2 | semidirect |
| 5. #29504522 | C2 | semidirect |
| 6. #29504520 | C2 | semidirect |
| 7. #332×C239 | C2 | semidirect |
| 75. C239 | #1703 | semidirect |
| 83. #332 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505122 | 2 |
| #29505063 | 2 |
| #29505049 | 2 |
| #29504849 | 2 |
| #29504522 | 2 |
| #29504520 | 2 |
| #332×C239 | 2 |
| #1703 | 239 |