Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 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×#13094057 | C2 | semidirect |
| 3. #15689694 | C2 | semidirect |
| 4. #15689381 | C2 | semidirect |
| 5. #15689369 | C2 | semidirect |
| 6. #15689364 | C2 | semidirect |
| 7. #15689352 | C2 | semidirect |
| 8. #15689165 | C2 | semidirect |
| 9. #15689120 | C2 | semidirect |
| 10. C2×#13093949 | C2 | semidirect |
| 11. C2×#131×C47 | C2 | semidirect |
| 64. M16×C47 | D4 | semidirect |
| 145. C2×#131 | D47 | semidirect |
| 155. C47 | #3063 | semidirect |
| 210. M16 | C22⋊D47 | semidirect |