Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
970 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 970 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 1. #22620057 | C2 | semidirect |
| 3. #22608922 | C2 | semidirect |
| 4. #22608888 | C2 | semidirect |
| 5. #22608443 | C2 | semidirect |
| 193. C73 | #18181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620057 | 2 |
| #22613215 | 2 |
| #22608922 | 2 |
| #22608888 | 2 |
| #22608443 | 2 |
| #22608272 | 2 |
| C73×#3501 | 2 |
| #18181 | 73 |