Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
554 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 109 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. #22619014 | C2 | semidirect |
| 3. #22609924 | C2 | semidirect |
| 5. #22607833 | C2 | semidirect |
| 6. #22607832 | C2 | semidirect |
| 189. C73 | #9406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22619014 | 2 |
| #22614934 | 2 |
| #22609924 | 2 |
| #22608599 | 2 |
| #22607833 | 2 |
| #22607832 | 2 |
| C73×#1545 | 2 |
| #9406 | 73 |