Finite Group DatabasebetaFinite Group DatabasebetaOrder 1216.
120 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 3. #10597333 | C2 | semidirect |
| 4. C19×#107 | C2 | semidirect |
| 5. #10597272 | C2 | semidirect |
| 6. #10597267 | C2 | semidirect |
| 19. #64516 | C4 | semidirect |
| 31. Dic38 | C2×C4 | semidirect |
| 32. C8×C19 | C2×C4 | semidirect |
| 53. #107 | D19 | semidirect |
| 57. C19 | #440 | semidirect |
| 83. C8 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64516 | 2 |
| #10597339 | 2 |
| #10597333 | 2 |
| C19×#107 | 2 |
| #10597272 | 2 |
| #10597267 | 2 |
| #10597266 | 2 |
| #440 | 19 |