Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
272 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. C2×C16×D47 | C2 | semidirect |
| 3. #107×D47 | C2 | semidirect |
| 4. #15688925 | C2 | semidirect |
| 5. #15688924 | C2 | semidirect |
| 6. #15688923 | C2 | semidirect |
| 7. C47×#357 | C2 | semidirect |
| 12. D8×D47 | C4 | semidirect |
| 15. C2×C47⋊C16 | C22 | semidirect |
| 17. #13093958 | C22 | semidirect |
| 20. C2×C16×C47 | C22 | semidirect |
| 21. #107×C47 | C22 | semidirect |
| 31. D8×C47 | C2×C4 | semidirect |
| 39. D376 | C2×C4 | semidirect |
| 87. D47 | #357 | direct (N × H) |
| 94. #357 | D47 | direct (N × H) |
| 95. C47 | C2×#357 | semidirect |
| 106. C2×C16 | C2×D47 | semidirect |
| 109. #107 | C2×D47 | semidirect |
| 122. D8 | C4×D47 | semidirect |