Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094072 | C2 | semidirect |
| 2. C2×#13094044 | C2 | semidirect |
| 3. #15689701 | C2 | semidirect |
| 4. #15689284 | C2 | semidirect |
| 5. #15689277 | C2 | semidirect |
| 6. #15689267 | C2 | semidirect |
| 7. #15689260 | C2 | semidirect |
| 8. #15689125 | C2 | semidirect |
| 9. C2×#13093948 | C2 | semidirect |
| 10. #15689091 | C2 | semidirect |
| 11. C2×#137×C47 | C2 | semidirect |
| 49. C2×Q8×C47 | D4 | semidirect |
| 71. #10625350 | D4 | semidirect |
| 171. C2×#137 | D47 | semidirect |
| 181. C47 | #3013 | semidirect |
| 233. C2×Q8 | C22⋊D47 | semidirect |