Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
272 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 13. #13093957 | C4 | semidirect |
| 14. #13093955 | C4 | semidirect |
| 15. #13093935 | C4 | semidirect |
| 73. C47⋊C8 | C42 | semidirect |
| 106. C47 | #1776 | semidirect |