Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13094072 | C2 | semidirect |
| 2. #13094056 | C2 | semidirect |
| 3. #13094055 | C2 | semidirect |
| 4. #13094047 | C2 | semidirect |
| 5. #13094046 | C2 | semidirect |
| 6. Q16×D47 | C2 | semidirect |
| 7. #13094030 | C2 | semidirect |
| 8. C2×Q16×C47 | C2 | semidirect |
| 60. C47 | #578 | semidirect |
| 67. C2×Q16 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13094072 | 2 |
| #13094056 | 2 |
| #13094055 | 2 |
| #13094047 | 2 |
| #13094046 | 2 |
| Q16×D47 | 2 |
| #13094030 | 2 |
| C2×Q16×C47 | 2 |
| #578 | 47 |