Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
484 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 484 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. #22620876 | C2 | semidirect |
| 3. #22610904 | C2 | semidirect |
| 4. #22608495 | C2 | semidirect |
| 6. #22607776 | C2 | semidirect |
| 187. C73 | #10223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22621056 | 2 |
| #22620876 | 2 |
| #22610904 | 2 |
| #22608495 | 2 |
| #22608491 | 2 |
| #22607776 | 2 |
| C73×#3135 | 2 |
| #10223 | 73 |