Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
182 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 61 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. #15689201 | C2 | semidirect |
| 3. #15689188 | C2 | semidirect |
| 4. #15688873 | C2 | semidirect |
| 5. #15688852 | C2 | semidirect |
| 6. #15688844 | C2 | semidirect |
| 7. C47×D4⋊C8 | C2 | semidirect |
| 54. D188 | M16 | semidirect |
| 89. D4⋊C8 | D47 | semidirect |
| 91. C47 | #1586 | semidirect |