Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
412 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 59 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. #22617903 | C2 | semidirect |
| 4. #22607954 | C2 | semidirect |
| 5. #22607954 | C2 | semidirect |
| 6. #22607879 | C2 | semidirect |
| 201. C73 | #12179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22617903 | 2 |
| #22608951 | 2 |
| #22607954 | 2 |
| #22607879 | 2 |
| C73×#2044 | 2 |
| #12179 | 73 |