Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
788 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 788 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 10. #17988610 | C4 | semidirect |
| 12. M16×Dic73 | C4 | semidirect |
| 14. #17988438 | C4 | semidirect |
| 17. #17988432 | C4 | semidirect |
| 139. C73 | #8048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22618560 | 2 |
| C4×#14556547 | 2 |
| #22607817 | 2 |
| #22607816 | 2 |
| C73×#1297 | 2 |
| #8048 | 73 |