Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #15689703 | C2 | semidirect |
| 2. #15689452 | C2 | semidirect |
| 3. #15689443 | C2 | semidirect |
| 4. #15689376 | C2 | semidirect |
| 5. #15689354 | C2 | semidirect |
| 6. #15689284 | C2 | semidirect |
| 7. #15689271 | C2 | semidirect |
| 8. #15689091 | C2 | semidirect |
| 9. C47×#470 | C2 | semidirect |
| 121. #470 | D47 | semidirect |
| 127. C47 | #3204 | semidirect |