Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 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. #15689180 | C2 | semidirect |
| 3. #15688870 | C2 | semidirect |
| 4. #15688866 | C2 | semidirect |
| 5. C47×#431 | C2 | semidirect |
| 83. #431 | D47 | semidirect |
| 86. C47 | #1553 | semidirect |