Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 145 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. #15689436 | C2 | semidirect |
| 3. #15689403 | C2 | semidirect |
| 4. #15689318 | C2 | semidirect |
| 5. #15689257 | C2 | semidirect |
| 6. C4×#10625334 | C2 | semidirect |
| 7. #15689176 | C2 | semidirect |
| 8. C2×C4×D4×C47 | C2 | semidirect |
| 11. #13094024 | C22 | semidirect |
| 12. #13094021 | C22 | semidirect |
| 17. C4×D188 | C22 | semidirect |
| 18. #13093957 | C22 | semidirect |
| 19. C4⋊(C47⋊C8) | C22 | semidirect |
| 21. #13093944 | C22 | semidirect |
| 23. C4×C47⋊C8 | C22 | semidirect |
| 73. D4×C47 | #41 | semidirect |
| 80. C2×C4×C47 | D8 | semidirect |
| 122. C2×C4×D4 | D47 | semidirect |
| 129. C47 | #3100 | semidirect |
| 199. D4 | #10625350 | semidirect |
| 208. C2×C4 | #10625334 | semidirect |