Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 492 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. C22×#10625337 | C2 | semidirect |
| 4. #15689379 | C2 | direct (N × H) |
| 5. C2×#13093955 | C2 | semidirect |
| 6. C2×#13093948 | C2 | semidirect |
| 7. C2×#13093947 | C2 | semidirect |
| 11. C2×#10625337 | C22 | semidirect |
| 21. #13093955 | C22 | semidirect |
| 22. #13093948 | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 112. C2×C47 | #470 | semidirect |
| 124. C47 | C2×#470 | semidirect |
| 227. C2 | #15689379 | direct (N × H) |