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 |
| 5. #10597273 | C2 | semidirect |
| 6. #10597272 | C2 | semidirect |
| 7. #10597264 | C2 | semidirect |
| 14. #64526 | C4 | semidirect |
| 31. Dic38 | C2×C4 | semidirect |
| 33. C19⋊C8 | C2×C4 | semidirect |
| 57. C19 | #440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic19 | 2 |
| C2×#64526 | 2 |
| #10597333 | 2 |
| C19×#102 | 2 |
| #10597273 | 2 |
| #10597272 | 2 |
| #10597264 | 2 |
| #440 | 19 |