Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
258 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 9. #17988365 | C4 | semidirect |
| 10. #17988363 | C4 | semidirect |
| 11. C4×#11924003 | C4 | semidirect |
| 83. C73 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22611536 | 2 |
| #22611528 | 2 |
| #22608020 | 2 |
| #22608017 | 2 |
| C73×#1747 | 2 |
| #12597 | 73 |