Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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×#13094050 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689390 | C2 | direct (N × H) |
| 4. C2×#13093960 | C2 | semidirect |
| 5. C2×#13093941 | C2 | semidirect |
| 6. C22×D8×C47 | C2 | semidirect |
| 9. #13094050 | C22 | semidirect |
| 13. #13094030 | C22 | semidirect |
| 18. #13093960 | C22 | semidirect |
| 19. #13093941 | C22 | semidirect |
| 24. C2×D8×C47 | C22 | semidirect |
| 106. C2×C47 | #472 | semidirect |
| 110. C22×D8 | D47 | semidirect |
| 115. C47 | C2×#472 | semidirect |
| 125. C2×D8 | C2×D47 | semidirect |
| 215. C2 | #15689390 | direct (N × H) |