Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
426 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 90 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. #22626046 | C2 | semidirect |
| 3. #22625501 | C2 | semidirect |
| 5. #22624762 | C2 | semidirect |
| 6. #22624760 | C2 | semidirect |
| 181. C73 | #8930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626674 | 2 |
| #22626046 | 2 |
| #22625501 | 2 |
| #22625277 | 2 |
| #22624762 | 2 |
| #22624760 | 2 |
| #22608577 | 2 |
| #8930 | 73 |