Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689659 | C2 | semidirect |
| 2. #15689524 | C2 | semidirect |
| 3. #15689508 | C2 | semidirect |
| 4. #15689479 | C2 | semidirect |
| 6. #15689354 | C2 | semidirect |
| 7. Q16×Dic47 | C2 | semidirect |
| 8. #15689208 | C2 | semidirect |
| 9. #15689205 | C2 | semidirect |
| 10. C2×C8×Dic47 | C2 | semidirect |
| 11. C47×#467 | C2 | semidirect |
| 123. #467 | D47 | semidirect |
| 130. C47 | #3168 | semidirect |