Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
412 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 412 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. #22610920 | C2 | semidirect |
| 4. #22608656 | C2 | semidirect |
| 5. #22607841 | C2 | semidirect |
| 6. #22607803 | C2 | semidirect |
| 189. C73 | #9337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620955 | 2 |
| #22619101 | 2 |
| #22610920 | 2 |
| #22608656 | 2 |
| #22607841 | 2 |
| #22607803 | 2 |
| C73×#1529 | 2 |
| #9337 | 73 |