Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
504 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 89 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. #349×D67 | C2 | semidirect |
| 3. #22558145 | C2 | semidirect |
| 4. #22558144 | C2 | semidirect |
| 5. C67×#1320 | C2 | semidirect |
| 183. #1320 | D67 | semidirect |
| 184. C67 | #11436 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22568652 | 2 |
| #349×D67 | 2 |
| #22558145 | 2 |
| #22558144 | 2 |
| C67×#1320 | 2 |
| #11436 | 67 |