Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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. #15689673 | C2 | semidirect |
| 2. #15689499 | C2 | semidirect |
| 3. #15689469 | C2 | semidirect |
| 4. #15689315 | C2 | semidirect |
| 5. #15689257 | C2 | semidirect |
| 6. #15689176 | C2 | semidirect |
| 7. C2×#127×C47 | C2 | semidirect |
| 9. C2×#10625334 | C22 | semidirect |
| 10. #13094024 | C22 | semidirect |
| 11. #13094021 | C22 | semidirect |
| 16. C4×D188 | C22 | semidirect |
| 17. C4⋊(C47⋊C8) | C22 | semidirect |
| 18. #13093945 | C22 | semidirect |
| 20. C4×C47⋊C8 | C22 | semidirect |
| 73. C2×C4×C47 | D8 | semidirect |
| 114. C2×#127 | D47 | semidirect |
| 120. C47 | #3205 | semidirect |
| 193. C2×C4 | #10625334 | semidirect |