Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
104 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 26 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. #10597729 | C2 | semidirect |
| 3. C3×C22⋊#261 | C2 | semidirect |
| 5. C22×D3×C13 | C4 | semidirect |
| 9. C2×Dic39 | C4 | semidirect |
| 14. C22⋊#261 | D3 | semidirect |
| 49. C3×C13 | #99 | semidirect |
| 57. C22×D3 | #261 | semidirect |
| 66. C13 | #806 | semidirect |
| 97. C3 | #88119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64602 | 2 |
| #10597729 | 2 |
| C3×C22⋊#261 | 2 |
| #88119 | 3 |
| #806 | 13 |