Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. #15689777 | C2 | semidirect |
| 2. #15689526 | C2 | semidirect |
| 3. #15689436 | C2 | semidirect |
| 4. #15689434 | C2 | semidirect |
| 5. #15689403 | C2 | semidirect |
| 6. #15689400 | C2 | semidirect |
| 7. #15689357 | C2 | semidirect |
| 8. C4×#10625334 | C2 | semidirect |
| 9. D4×C47⋊C8 | C2 | semidirect |
| 10. C2×#13093957 | C2 | semidirect |
| 11. C47×#547 | C2 | semidirect |
| 82. D4×C47 | D8 | semidirect |
| 103. C47⋊C8 | #41 | semidirect |
| 131. #547 | D47 | semidirect |
| 141. C47 | #3334 | semidirect |
| 216. D4 | #10625334 | semidirect |