Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
246 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 81 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. #15689180 | C2 | semidirect |
| 2. #15689147 | C2 | semidirect |
| 3. #15688869 | C2 | semidirect |
| 4. #15688867 | C2 | semidirect |
| 90. C47 | #1557 | semidirect |