Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 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. C2×#13094023 | C2 | semidirect |
| 3. #15689412 | C2 | direct (N × H) |
| 4. C2×#13093955 | C2 | semidirect |
| 5. C2×Dic47⋊C8 | C2 | semidirect |
| 8. C2×#106×C47 | C2 | semidirect |
| 14. #13094023 | C22 | semidirect |
| 21. #13093955 | C22 | semidirect |
| 22. Dic47⋊C8 | C22 | semidirect |
| 28. #106×C47 | C22 | semidirect |
| 38. C2×D188 | Q8 | semidirect |
| 79. D188 | C2×Q8 | semidirect |
| 101. C2×C47 | #476 | semidirect |
| 110. C2×#106 | D47 | semidirect |
| 114. C47 | C2×#476 | semidirect |
| 131. #106 | C2×D47 | semidirect |
| 207. C2 | #15689412 | direct (N × H) |