Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13094019 | C2 | semidirect |
| 2. #13094017 | C2 | semidirect |
| 3. #13094014 | C2 | semidirect |
| 4. #13094010 | C2 | semidirect |
| 5. #13094008 | C2 | semidirect |
| 6. #13094005 | C2 | semidirect |
| 7. #13094001 | C2 | semidirect |
| 9. C4×Dic94 | C2 | semidirect |
| 10. C4×C22⋊D47 | C2 | semidirect |
| 11. C4×C22⋊D47 | C2 | semidirect |
| 12. #13093983 | C2 | semidirect |
| 13. #13093981 | C2 | semidirect |
| 14. C2×C4×Dic47 | C2 | semidirect |
| 15. C4×D4×C47 | C2 | semidirect |
| 104. C47 | #529 | semidirect |
| 116. C4×D4 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13094019 | 2 |
| #13094017 | 2 |
| #13094014 | 2 |
| #13094010 | 2 |
| #13094008 | 2 |
| #13094005 | 2 |
| #13094001 | 2 |
| #13093996 | 2 |
| C4×Dic94 | 2 |
| C4×C22⋊D47 | 2 |
| #13093983 | 2 |
| #13093981 | 2 |
| C2×C4×Dic47 | 2 |
| C4×D4×C47 | 2 |
| #529 | 47 |