Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #15689603 | C2 | semidirect |
| 3. C2×#13093952 | C2 | semidirect |
| 4. #15689127 | C2 | semidirect |
| 5. #15689025 | C2 | semidirect |
| 6. #15688891 | C2 | semidirect |
| 7. C47×#339 | C2 | semidirect |
| 11. #13094052 | C4 | semidirect |
| 42. C2×D188 | C2×C4 | semidirect |
| 48. M16×C47 | C2×C4 | semidirect |
| 95. D188 | C22⋊C4 | semidirect |
| 100. Dic94 | C22⋊C4 | semidirect |
| 139. #339 | D47 | semidirect |
| 140. C47 | #1883 | semidirect |
| 185. M16 | C4×D47 | semidirect |