Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
738 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 157 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. C23×Dic94 | C2 | semidirect |
| 2. C2×#13094054 | C2 | semidirect |
| 3. #15689278 | C2 | semidirect |
| 4. #15689261 | C2 | semidirect |
| 5. #15689131 | C2 | semidirect |
| 6. #15689087 | C2 | semidirect |
| 15. C2×#10625337 | C22 | semidirect |
| 16. C2×#10625335 | C22 | semidirect |
| 18. #13093947 | C22 | semidirect |
| 49. C2×Dic94 | D4 | semidirect |
| 95. C22×C47 | #137 | semidirect |
| 116. C47 | #3004 | semidirect |
| 204. C22 | #13094054 | semidirect |