Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×#10625324 | C2 | semidirect |
| 3. C2×#13093946 | C2 | semidirect |
| 4. C2×#13093944 | C2 | semidirect |
| 5. #15688980 | C2 | semidirect |
| 6. #15688885 | C2 | semidirect |
| 7. C47×#340 | C2 | semidirect |
| 16. #13093999 | C4 | semidirect |
| 50. C2×C8×C47 | D4 | semidirect |
| 61. C2×C47⋊C8 | D4 | semidirect |
| 152. #340 | D47 | semidirect |
| 153. C47 | #1895 | semidirect |
| 200. C2×C8 | D188 | semidirect |