Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
242 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 65 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. #15689179 | C2 | semidirect |
| 3. #15689175 | C2 | semidirect |
| 4. #15688870 | C2 | semidirect |
| 5. #15688868 | C2 | semidirect |
| 6. #15688867 | C2 | semidirect |
| 7. C47×#331 | C2 | semidirect |
| 103. #331 | D47 | semidirect |
| 104. C47 | #1553 | semidirect |