Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689774 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689438 | C2 | semidirect |
| 4. #15689436 | C2 | semidirect |
| 5. #15689402 | C2 | semidirect |
| 6. #15689360 | C2 | semidirect |
| 7. #15689359 | C2 | semidirect |
| 8. #15689205 | C2 | semidirect |
| 9. C8×C22⋊D47 | C2 | semidirect |
| 10. #107×D47 | C2 | semidirect |
| 11. C2×#107×C47 | C2 | semidirect |
| 81. C22⋊D47 | D8 | semidirect |
| 95. C8×C47 | #41 | semidirect |
| 134. C2×#107 | D47 | semidirect |
| 135. C47 | #3334 | semidirect |
| 221. C8 | #10625350 | semidirect |