Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689606 | C2 | semidirect |
| 2. #15689461 | C2 | semidirect |
| 3. #15689456 | C2 | semidirect |
| 4. #15689444 | C2 | semidirect |
| 5. #15689434 | C2 | semidirect |
| 6. #15689163 | C2 | semidirect |
| 7. C2×#13093957 | C2 | semidirect |
| 8. #15689124 | C2 | semidirect |
| 9. #15689119 | C2 | semidirect |
| 10. #15689090 | C2 | semidirect |
| 145. C47 | #3098 | semidirect |