Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#13094055 | C2 | semidirect |
| 3. C2×Q8×Dic47 | C2 | semidirect |
| 4. #15689347 | C2 | semidirect |
| 5. #15689343 | C2 | semidirect |
| 6. #15689331 | C2 | semidirect |
| 7. #15689321 | C2 | semidirect |
| 8. #15689146 | C2 | semidirect |
| 9. #15689125 | C2 | semidirect |
| 10. #15689124 | C2 | semidirect |
| 11. C2×#137×C47 | C2 | semidirect |
| 49. C2×Q8×C47 | D4 | semidirect |
| 150. Dic47 | #137 | semidirect |
| 159. C2×#137 | D47 | semidirect |
| 169. C47 | #3037 | semidirect |
| 210. C2×Q8 | C22⋊D47 | semidirect |