Finite Group DatabasebetaFinite Group DatabasebetaOrder 1216.
134 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 45 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. C19×#121 | C2 | semidirect |
| 2. C2×#64525 | C2 | semidirect |
| 3. #10597376 | C2 | semidirect |
| 4. C22×C19⋊C8 | C2 | semidirect |
| 5. #10597289 | C2 | semidirect |
| 6. #10597266 | C2 | semidirect |
| 7. #10597264 | C2 | semidirect |
| 37. C19⋊C8 | D4 | semidirect |
| 43. C22×C19 | D8 | semidirect |
| 63. #121 | D19 | semidirect |
| 67. C19 | #466 | semidirect |
| 106. C22 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C19×#121 | 2 |
| C2×#64525 | 2 |
| #10597376 | 2 |
| C22×C19⋊C8 | 2 |
| #10597289 | 2 |
| #10597266 | 2 |
| #10597264 | 2 |
| #466 | 19 |