Finite Group DatabasebetaFinite Group DatabasebetaOrder 17792.
208 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 8. #17984841 | C4 | semidirect |
| 9. #17984840 | C4 | semidirect |
| 13. Q8×Dic139 | C4 | semidirect |
| 15. #17984807 | C4 | semidirect |
| 102. C139 | #1515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22581505 | 2 |
| #22581007 | 2 |
| #22580820 | 2 |
| #22580691 | 2 |
| #22580690 | 2 |
| #22580689 | 2 |
| #328×C139 | 2 |
| #1515 | 139 |