Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
272 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 105 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. #367×C73 | C4 | semidirect |
| 20. #366×C73 | C4 | semidirect |
| 129. C73 | #13118 | semidirect |
| 139. #367 | Dic73 | semidirect |
| 140. #366 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22610670 | 2 |
| #22609817 | 2 |
| #22608039 | 2 |
| #22608036 | 2 |
| #22608030 | 2 |
| #22608010 | 2 |
| C73×#2159 | 2 |
| #13118 | 73 |