Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. C2×Q8×Dic47 | C2 | semidirect |
| 3. #15689459 | C2 | semidirect |
| 5. #15689432 | C2 | semidirect |
| 6. #15689343 | C2 | semidirect |
| 7. #15689279 | C2 | semidirect |
| 8. #15689227 | C2 | semidirect |
| 9. #15689224 | C2 | semidirect |
| 10. #15689177 | C2 | semidirect |
| 143. C47 | #3117 | semidirect |