Finite Group DatabasebetaFinite Group DatabasebetaOrder 1216.
124 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 39 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. #10597393 | C2 | semidirect |
| 2. C2×#64527 | C2 | semidirect |
| 4. #10597339 | C2 | semidirect |
| 5. C19×#103 | C2 | semidirect |
| 6. Dic19⋊C8 | C2 | semidirect |
| 7. #10597266 | C2 | semidirect |
| 61. #103 | D19 | semidirect |
| 63. C19 | #463 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10597393 | 2 |
| C2×#64527 | 2 |
| C2×D152 | 2 |
| #10597339 | 2 |
| C19×#103 | 2 |
| Dic19⋊C8 | 2 |
| #10597266 | 2 |
| #463 | 19 |