Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
234 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 81 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. C4×#16838532 | C2 | semidirect |
| 2. C2×#21439871 | C2 | semidirect |
| 3. #29504514 | C2 | semidirect |
| 4. #29504512 | C2 | semidirect |
| 91. C239 | #1524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#16838532 | 2 |
| C2×#21439871 | 2 |
| #29504514 | 2 |
| #29504512 | 2 |
| #529×C239 | 2 |
| #1524 | 239 |