Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
122 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 51 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. #13093989 | C2 | semidirect |
| 4. #13093947 | C2 | semidirect |
| 6. C8×Dic47 | C2 | semidirect |
| 7. #106×C47 | C2 | semidirect |
| 19. #10625325 | C4 | semidirect |
| 31. Dic94 | C2×C4 | semidirect |
| 32. C8×C47 | C2×C4 | semidirect |
| 44. Dic47 | SD16 | semidirect |
| 50. C47 | C4×SD16 | semidirect |
| 54. #106 | D47 | semidirect |
| 83. C8 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625325 | 2 |
| #13093989 | 2 |
| #13093986 | 2 |
| #13093947 | 2 |
| #13093944 | 2 |
| C8×Dic47 | 2 |
| #106×C47 | 2 |
| C4×SD16 | 47 |