Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
462 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 33. #14556550 | C8 | semidirect |
| 36. #14556547 | C8 | semidirect |
| 40. #117×C73 | C8 | semidirect |
| 147. C73 | #11452 | semidirect |
| 166. #117 | #10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627043 | 2 |
| #22626969 | 2 |
| #22626391 | 2 |
| #11452 | 73 |