Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#13094043 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689702 | C2 | semidirect |
| 4. #15689368 | C2 | semidirect |
| 5. #15689367 | C2 | semidirect |
| 6. #15689365 | C2 | semidirect |
| 7. #15689364 | C2 | semidirect |
| 8. #15689356 | C2 | semidirect |
| 9. #107×D47 | C2 | semidirect |
| 10. #15689121 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 80. C8×D47 | D4 | semidirect |
| 152. #466 | D47 | semidirect |
| 155. C47 | #3061 | semidirect |