Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
436 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13094023 | C2 | semidirect |
| 3. #15689481 | C2 | direct (N × H) |
| 4. C2×#13093949 | C2 | semidirect |
| 5. C2×#13093947 | C2 | semidirect |
| 7. C2×#13093934 | C2 | semidirect |
| 13. #13094023 | C22 | semidirect |
| 21. #13093949 | C22 | semidirect |
| 22. #13093947 | C22 | semidirect |
| 24. #13093934 | C22 | semidirect |
| 105. C2×C47 | #489 | semidirect |
| 117. C47 | C2×#489 | semidirect |
| 213. C2 | #15689481 | direct (N × H) |