Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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. #13094030 | C2 | semidirect |
| 3. #13093959 | C2 | semidirect |
| 4. #13093951 | C2 | semidirect |
| 5. #13093950 | C2 | semidirect |
| 6. #13093934 | C2 | semidirect |
| 7. #131×C47 | C2 | semidirect |
| 14. #10625337 | C4 | semidirect |
| 15. #10625336 | C4 | semidirect |
| 16. #10625335 | C4 | semidirect |
| 17. #10625334 | C4 | semidirect |
| 52. C47 | #444 | semidirect |
| 55. #131 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13094044 | 2 |
| #13094030 | 2 |
| #13093959 | 2 |
| #13093951 | 2 |
| #13093950 | 2 |
| #13093934 | 2 |
| #131×C47 | 2 |
| #444 | 47 |