Finite Group DatabasebetaFinite Group DatabasebetaOrder 1216.
118 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 2. #10597334 | C2 | semidirect |
| 3. C19×#102 | C2 | semidirect |
| 4. #10597289 | C2 | semidirect |
| 5. #10597278 | C2 | semidirect |
| 6. C8×Dic19 | C2 | semidirect |
| 7. #10597266 | C2 | semidirect |
| 59. #102 | D19 | semidirect |
| 61. C19 | #486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10597386 | 2 |
| #10597334 | 2 |
| C19×#102 | 2 |
| #10597289 | 2 |
| #10597278 | 2 |
| C8×Dic19 | 2 |
| #10597266 | 2 |
| #486 | 19 |