Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
104 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 33 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. C3×C13×C22⋊C4 | C2 | semidirect |
| 3. #10597671 | C2 | semidirect |
| 6. C22×D39 | C4 | semidirect |
| 11. C2×Dic39 | C4 | semidirect |
| 13. C13×C22⋊C4 | D3 | semidirect |
| 47. C3×C22⋊C4 | D13 | semidirect |
| 49. C3×C13 | #99 | semidirect |
| 65. C22⋊C4 | D39 | semidirect |
| 66. C13 | #806 | semidirect |
| 97. C3 | #88046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64625 | 2 |
| C3×C13×C22⋊C4 | 2 |
| #10597671 | 2 |
| #88046 | 3 |
| #806 | 13 |