Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
662 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 156 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 |
|---|---|---|
| 19. #17988352 | C4 | semidirect |
| 20. #17988351 | C4 | semidirect |
| 21. #341×C73 | C4 | semidirect |
| 167. C73 | #11332 | semidirect |
| 182. #341 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989602 | 2 |
| C22×#14556662 | 2 |
| C2×#17989470 | 2 |
| #22625596 | 2 |
| #341×D73 | 2 |
| #11332 | 73 |