Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #15689458 | C2 | semidirect |
| 3. #15689456 | C2 | semidirect |
| 4. #15689362 | C2 | semidirect |
| 5. #15689279 | C2 | semidirect |
| 6. #15689278 | C2 | semidirect |
| 10. C2×#10625337 | C22 | semidirect |
| 19. #13093957 | C22 | semidirect |
| 20. #13093948 | C22 | semidirect |
| 21. #13093947 | C22 | semidirect |
| 68. C23×C47 | Q16 | semidirect |
| 129. C47 | #3189 | semidirect |
| 189. C23 | #10625337 | semidirect |