Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
426 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 3. #22558823 | C2 | semidirect |
| 4. #22558681 | C2 | semidirect |
| 5. #22558072 | C2 | semidirect |
| 6. #22558040 | C2 | semidirect |
| 175. C67 | #9285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22571165 | 2 |
| #22569285 | 2 |
| #22558823 | 2 |
| #22558681 | 2 |
| #22558072 | 2 |
| #22558040 | 2 |
| C67×#1530 | 2 |
| #9285 | 67 |