Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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. C2×#13094030 | C2 | semidirect |
| 2. #15689690 | C2 | semidirect |
| 3. #15689373 | C2 | semidirect |
| 4. #15689356 | C2 | semidirect |
| 5. #15689161 | C2 | semidirect |
| 6. #15689128 | C2 | semidirect |
| 7. C22×D8×C47 | C2 | semidirect |
| 11. C2×#10625324 | C22 | semidirect |
| 12. C2×C8×D47 | C22 | semidirect |
| 15. #13093995 | C22 | semidirect |
| 18. #13093958 | C22 | semidirect |
| 19. #13093956 | C22 | semidirect |
| 20. #13093945 | C22 | semidirect |
| 41. C2×C8×C47 | D4 | semidirect |
| 94. C22×D8 | D47 | semidirect |
| 101. C47 | #3058 | semidirect |
| 139. C2×C8 | C22⋊D47 | semidirect |