Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
234 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 12. #16863171 | C4 | semidirect |
| 13. C16×Dic67 | C4 | semidirect |
| 113. C67 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22561805 | 2 |
| #22560334 | 2 |
| #22560332 | 2 |
| #22558312 | 2 |
| #22558310 | 2 |
| #22558305 | 2 |
| C67×#1382 | 2 |
| #12893 | 67 |