Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
474 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 186. C67 | #10207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22571551 | 2 |
| #22571353 | 2 |
| #22561162 | 2 |
| #22561153 | 2 |
| #22558708 | 2 |
| #22558060 | 2 |
| C67×#3139 | 2 |
| #10207 | 67 |