Finite Group DatabasebetaFinite Group DatabasebetaOrder 17536.
410 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 152 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. #22578437 | C2 | semidirect |
| 2. #22578431 | C2 | semidirect |
| 3. #22578422 | C2 | semidirect |
| 4. #22578378 | C2 | semidirect |
| 71. C137 | #2979 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22578437 | 2 |
| #22578431 | 2 |
| #22578422 | 2 |
| #22578378 | 2 |
| #22577954 | 2 |
| #2979 | 137 |