Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #13094022 | C2 | semidirect |
| 5. Dic47⋊C8 | C2 | semidirect |
| 6. #13093947 | C2 | semidirect |
| 7. #103×C47 | C2 | semidirect |
| 47. Dic47 | SD16 | semidirect |
| 53. C47 | #461 | semidirect |
| 60. #103 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625325 | 2 |
| C2×#10625336 | 2 |
| #13094022 | 2 |
| #13093986 | 2 |
| Dic47⋊C8 | 2 |
| #13093947 | 2 |
| #103×C47 | 2 |
| #461 | 47 |