Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#13094046 | C2 | semidirect |
| 2. C2×#13094044 | C2 | semidirect |
| 3. #15689669 | C2 | semidirect |
| 4. #15689508 | C2 | semidirect |
| 5. #15689506 | C2 | semidirect |
| 6. #15689504 | C2 | semidirect |
| 7. #15689501 | C2 | semidirect |
| 8. #15689498 | C2 | semidirect |
| 9. #15689494 | C2 | semidirect |
| 10. C2×C8×Dic47 | C2 | semidirect |
| 11. C2×#135×C47 | C2 | semidirect |
| 58. C2×C8×C47 | D4 | semidirect |
| 71. C2×C47⋊C8 | D4 | semidirect |
| 119. Dic47 | #135 | semidirect |
| 128. C2×#135 | D47 | semidirect |
| 137. C47 | #3147 | semidirect |
| 194. C2×C8 | C22⋊D47 | semidirect |