Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
390 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 123 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×Q8×Dic47 | C2 | semidirect |
| 3. #15689451 | C2 | semidirect |
| 5. #15689432 | C2 | semidirect |
| 6. #15689347 | C2 | semidirect |
| 8. Q16×Dic47 | C2 | semidirect |
| 9. #15689208 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#451 | C2 | semidirect |
| 138. #451 | D47 | semidirect |
| 143. C47 | #3108 | semidirect |