Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689937 | C2 | semidirect |
| 2. #15689563 | C2 | semidirect |
| 3. #15689562 | C2 | semidirect |
| 4. #15689552 | C2 | semidirect |
| 5. C2×Dic376 | C2 | semidirect |
| 6. Q32×D47 | C2 | semidirect |
| 7. #15689539 | C2 | semidirect |
| 8. C47×#508 | C2 | semidirect |
| 86. #508 | D47 | semidirect |
| 90. C47 | #3417 | semidirect |