Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
934 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 934 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 |
|---|---|---|
| 1. #22623741 | C2 | semidirect |
| 3. #22608972 | C2 | semidirect |
| 5. #22608442 | C2 | semidirect |
| 6. #22608275 | C2 | semidirect |
| 190. C73 | #18188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22623741 | 2 |
| #22620030 | 2 |
| #22608972 | 2 |
| #22608870 | 2 |
| #22608442 | 2 |
| #22608275 | 2 |
| C73×#2398 | 2 |
| #18188 | 73 |