Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
454 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 179. C67 | #9488 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22569292 | 2 |
| #22565575 | 2 |
| #22560202 | 2 |
| #22558638 | 2 |
| #22558069 | 2 |
| #22558068 | 2 |
| C67×#1487 | 2 |
| #9488 | 67 |