Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
468 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 89 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. #22619009 | C2 | semidirect |
| 3. #22608654 | C2 | semidirect |
| 4. #22608356 | C2 | semidirect |
| 5. #22607841 | C2 | semidirect |
| 6. #22607792 | C2 | semidirect |
| 7. C73×#1466 | C2 | semidirect |
| 184. #1466 | D73 | semidirect |
| 187. C73 | #9529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620022 | 2 |
| #22619009 | 2 |
| #22608654 | 2 |
| #22608356 | 2 |
| #22607841 | 2 |
| #22607792 | 2 |
| C73×#1466 | 2 |
| #9529 | 73 |