Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 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. #22608249 | C2 | semidirect |
| 3. #22607936 | C2 | semidirect |
| 4. #22607933 | C2 | semidirect |
| 5. C73×#1800 | C2 | semidirect |
| 205. #1800 | D73 | semidirect |
| 209. C73 | #11884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22614887 | 2 |
| #22608249 | 2 |
| #22607936 | 2 |
| #22607933 | 2 |
| C73×#1800 | 2 |
| #11884 | 73 |