Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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. #15689163 | C2 | semidirect |
| 3. C2×#13093952 | C2 | semidirect |
| 4. #15689122 | C2 | semidirect |
| 5. C2×#13093941 | C2 | semidirect |
| 6. #15688883 | C2 | semidirect |
| 7. C47×#390 | C2 | semidirect |
| 61. #10625329 | D4 | semidirect |
| 136. #390 | D47 | semidirect |
| 138. C47 | #2037 | semidirect |