Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
530 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 97 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. #22618997 | C2 | semidirect |
| 3. #22608522 | C2 | semidirect |
| 4. #22608349 | C2 | semidirect |
| 5. #22608347 | C2 | semidirect |
| 6. #22607768 | C2 | semidirect |
| 7. C73×#1278 | C2 | semidirect |
| 204. #1278 | D73 | semidirect |
| 205. C73 | #9069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620359 | 2 |
| #22618997 | 2 |
| #22608522 | 2 |
| #22608349 | 2 |
| #22608347 | 2 |
| #22607768 | 2 |
| C73×#1278 | 2 |
| #9069 | 73 |