Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
482 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 482 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 |
|---|---|---|
| 2. C2×Dic67⋊C16 | C2 | semidirect |
| 3. C2×#16863196 | C2 | semidirect |
| 4. #22561073 | C2 | semidirect |
| 5. C67×#1380 | C2 | semidirect |
| 88. C2×Dic67 | D16 | semidirect |
| 126. #1380 | D67 | semidirect |
| 127. C67 | #13448 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1072 | 2 |
| C2×Dic67⋊C16 | 2 |
| C2×#16863196 | 2 |
| #22561073 | 2 |
| C67×#1380 | 2 |
| #13448 | 67 |