Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
256 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 73 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. #15689175 | C2 | semidirect |
| 3. C4⋊C8×D47 | C2 | semidirect |
| 4. #15688869 | C2 | semidirect |
| 5. #15688866 | C2 | semidirect |
| 6. #15688866 | C2 | semidirect |
| 7. C47×#332 | C2 | semidirect |
| 102. #332 | D47 | semidirect |
| 105. C47 | #1540 | semidirect |