Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
528 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 92 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. #22626159 | C2 | semidirect |
| 2. #22626156 | C2 | semidirect |
| 3. #22624854 | C2 | semidirect |
| 4. #22624853 | C2 | semidirect |
| 10. C22⋊#11924031 | C22 | semidirect |
| 11. C22⋊#11924031 | C22 | semidirect |
| 205. C73 | #11422 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626159 | 2 |
| #22626156 | 2 |
| #22624854 | 2 |
| #22624853 | 2 |
| #408×D73 | 2 |
| #11422 | 73 |