Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 1. C2×#10625350 | C2 | semidirect |
| 2. #13094057 | C2 | semidirect |
| 3. #13094052 | C2 | semidirect |
| 4. #13094046 | C2 | semidirect |
| 5. C2×M16×C47 | C2 | semidirect |
| 11. #10625350 | C22 | semidirect |
| 12. C2×D188 | C22 | semidirect |
| 14. C2×Dic94 | C22 | semidirect |
| 15. M16×C47 | C22 | semidirect |
| 16. C2×C8×C47 | C22 | semidirect |
| 17. Dic188 | C22 | semidirect |
| 18. D376 | C22 | semidirect |
| 19. #10625325 | C22 | semidirect |
| 50. C47 | #575 | semidirect |
| 55. C2×M16 | D47 | semidirect |
| 68. M16 | C2×D47 | semidirect |
| 69. C2×C8 | C2×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625350 | 2 |
| #13094057 | 2 |
| #13094052 | 2 |
| #13094046 | 2 |
| C2×M16×C47 | 2 |
| #575 | 47 |