Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
128 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 128 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 |
|---|---|---|
| 1. C2×#10625325 | C2 | semidirect |
| 2. C2×#10625335 | C2 | semidirect |
| 4. #13093989 | C2 | semidirect |
| 5. Dic47⋊C8 | C2 | semidirect |
| 6. #13093944 | C2 | semidirect |
| 7. #102×C47 | C2 | semidirect |
| 35. Dic94 | D4 | semidirect |
| 50. Dic47 | SD16 | semidirect |
| 57. C47 | #460 | semidirect |
| 64. #102 | 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×#10625335 | 2 |
| #13094020 | 2 |
| #13093989 | 2 |
| Dic47⋊C8 | 2 |
| #13093944 | 2 |
| #102×C47 | 2 |
| #460 | 47 |