Finite Group DatabasebetaFinite Group DatabasebetaOrder 1216.
188 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 47 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. #10597370 | C2 | semidirect |
| 3. C2×#64516 | C2 | semidirect |
| 4. C19×C22⋊C8 | C2 | semidirect |
| 5. #10597278 | C2 | semidirect |
| 11. C2×Dic38 | C22 | semidirect |
| 12. C2×C8×C19 | C22 | semidirect |
| 14. C4⋊Dic19 | C22 | semidirect |
| 34. C22×C19 | SD16 | semidirect |
| 54. C22⋊C8 | D19 | semidirect |
| 55. C19 | #450 | semidirect |
| 63. C2×C8 | C2×D19 | semidirect |
| 88. C22 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D76 | 2 |
| #10597370 | 2 |
| C2×#64516 | 2 |
| C19×C22⋊C8 | 2 |
| #10597278 | 2 |
| #450 | 19 |