Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #15689668 | C2 | semidirect |
| 2. #15689520 | C2 | semidirect |
| 3. #15689498 | C2 | semidirect |
| 4. #15689468 | C2 | semidirect |
| 5. #15689376 | C2 | semidirect |
| 6. #15689374 | C2 | semidirect |
| 7. #15689235 | C2 | semidirect |
| 8. #15689234 | C2 | semidirect |
| 9. #15689232 | C2 | semidirect |
| 10. M16×Dic47 | C2 | semidirect |
| 11. C47×#469 | C2 | semidirect |
| 94. C8×C47 | #41 | semidirect |
| 96. C47⋊C8 | #41 | semidirect |
| 125. #469 | D47 | semidirect |
| 130. C47 | #3184 | semidirect |
| 215. C8 | #10625352 | semidirect |