Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
460 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 3. #15689459 | C2 | direct (N × H) |
| 4. C2×#13093958 | C2 | semidirect |
| 5. C2×#13093949 | C2 | semidirect |
| 18. #13093958 | C22 | semidirect |
| 19. #13093949 | C22 | semidirect |
| 84. C2×C47 | #484 | semidirect |
| 94. C47 | C2×#484 | semidirect |
| 171. C2 | #15689459 | direct (N × H) |