Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 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. #15689401 | C2 | direct (N × H) |
| 4. C2×#13093958 | C2 | semidirect |
| 5. C2×#13093957 | C2 | semidirect |
| 6. C2×Dic47⋊C8 | C2 | semidirect |
| 13. #13094023 | C22 | semidirect |
| 21. #13093958 | C22 | semidirect |
| 22. #13093957 | C22 | semidirect |
| 23. Dic47⋊C8 | C22 | semidirect |
| 32. C2×D4×C47 | Q8 | semidirect |
| 65. D4×C47 | C2×Q8 | semidirect |
| 102. C2×C47 | #474 | semidirect |
| 114. C47 | C2×#474 | semidirect |
| 140. C2×D4 | Dic94 | semidirect |
| 172. D4 | C2×Dic94 | semidirect |
| 207. C2 | #15689401 | direct (N × H) |