Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
438 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 211. C67 | #10563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22560678 | 2 |
| #22560643 | 2 |
| #22560413 | 2 |
| #22558781 | 2 |
| #22558573 | 2 |
| #22558114 | 2 |
| C67×#3195 | 2 |
| #10563 | 67 |