Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
448 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 157 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. #15689420 | C2 | direct (N × H) |
| 3. C2×#13093957 | C2 | semidirect |
| 4. C2×#13093955 | C2 | semidirect |
| 5. C2×C4⋊(C47⋊C8) | C2 | semidirect |
| 8. C2×#125×C47 | C2 | semidirect |
| 17. #13093957 | C22 | semidirect |
| 18. #13093955 | C22 | semidirect |
| 19. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. #125×C47 | C22 | semidirect |
| 99. C2×C47 | #478 | semidirect |
| 104. C2×#125 | D47 | semidirect |
| 112. C47 | C2×#478 | semidirect |
| 118. #125 | C2×D47 | semidirect |
| 203. C2 | #15689420 | direct (N × H) |