Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
142 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 3. #15689230 | C2 | semidirect |
| 4. #15688947 | C2 | semidirect |
| 6. #15688900 | C2 | semidirect |
| 7. C47×#362 | C2 | semidirect |
| 11. #13093970 | C4 | semidirect |
| 12. #13093967 | C4 | semidirect |
| 69. #362 | D47 | semidirect |
| 72. C47 | #2180 | semidirect |