Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
434 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 10. #17988996 | C4 | semidirect |
| 11. #17988996 | C4 | semidirect |
| 187. C73 | #9440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620483 | 2 |
| #22613036 | 2 |
| #22608557 | 2 |
| #22608444 | 2 |
| #22608442 | 2 |
| #22607825 | 2 |
| C73×#1300 | 2 |
| #9440 | 73 |