Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
356 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. #15689526 | C2 | semidirect |
| 3. #15689458 | C2 | semidirect |
| 4. #15689456 | C2 | semidirect |
| 5. #15689418 | C2 | semidirect |
| 6. #15689415 | C2 | semidirect |
| 7. #15689362 | C2 | semidirect |
| 8. C4×#10625337 | C2 | semidirect |
| 10. C2×#13093957 | C2 | semidirect |
| 77. D4×C47 | Q16 | semidirect |
| 129. C47 | #3338 | semidirect |
| 198. D4 | #10625337 | semidirect |