Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
106 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 106 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 |
|---|---|---|
| 2. #13094032 | C2 | semidirect |
| 3. #13094031 | C2 | semidirect |
| 4. #13093959 | C2 | semidirect |
| 5. #13093952 | C2 | semidirect |
| 6. C4×C47⋊C8 | C2 | semidirect |
| 7. #104×C47 | C2 | semidirect |
| 12. #10625337 | C4 | semidirect |
| 13. #10625336 | C4 | semidirect |
| 14. #10625335 | C4 | semidirect |
| 15. #10625334 | C4 | semidirect |
| 52. C47 | #443 | semidirect |
| 58. #104 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13094044 | 2 |
| #13094032 | 2 |
| #13094031 | 2 |
| #13093959 | 2 |
| #13093952 | 2 |
| C4×C47⋊C8 | 2 |
| #104×C47 | 2 |
| #443 | 47 |