Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
422 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 10. #16863776 | C4 | semidirect |
| 11. #16863747 | C4 | semidirect |
| 99. C2×C8×C67 | Q16 | semidirect |
| 163. C67 | #9290 | semidirect |
| 241. C2×C8 | Dic268 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22571159 | 2 |
| #22569149 | 2 |
| #22561182 | 2 |
| #22558893 | 2 |
| #22558774 | 2 |
| #22558068 | 2 |
| C67×#1275 | 2 |
| #9290 | 67 |