Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
322 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 17. #17988339 | C4 | semidirect |
| 18. #17988338 | C4 | semidirect |
| 19. #334×C73 | C4 | semidirect |
| 119. C73 | #9627 | semidirect |
| 133. #334 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22625870 | 2 |
| C8×C4⋊#64408 | 2 |
| #22625501 | 2 |
| #22624828 | 2 |
| #22608676 | 2 |
| #9627 | 73 |