Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
574 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 574 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 |
|---|---|---|
| 2. #22610768 | C2 | semidirect |
| 3. #22610766 | C2 | semidirect |
| 4. #22610359 | C2 | semidirect |
| 5. #22610109 | C2 | semidirect |
| 6. #22607798 | C2 | semidirect |
| 7. C73×#1893 | C2 | semidirect |
| 111. C22⋊Dic73 | D8 | semidirect |
| 274. #1893 | D73 | semidirect |
| 277. C73 | #10564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620679 | 2 |
| #22610768 | 2 |
| #22610766 | 2 |
| #22610359 | 2 |
| #22610109 | 2 |
| #22607798 | 2 |
| C73×#1893 | 2 |
| #10564 | 73 |