Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
998 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 998 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 2. #22609923 | C2 | semidirect |
| 3. #22608602 | C2 | semidirect |
| 4. #22608357 | C2 | semidirect |
| 5. C73×#1460 | C2 | semidirect |
| 189. #1460 | D73 | semidirect |
| 190. C73 | #8387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989241 | 2 |
| #22609923 | 2 |
| #22608602 | 2 |
| #22608357 | 2 |
| C73×#1460 | 2 |
| #8387 | 73 |