Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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. #15688989 | C2 | semidirect |
| 3. #15688858 | C2 | semidirect |
| 4. C47×#431 | C2 | semidirect |
| 6. #13094024 | C4 | semidirect |
| 7. #13094021 | C4 | semidirect |
| 12. C4×D188 | C4 | semidirect |
| 90. #431 | D47 | semidirect |
| 93. C47 | #1517 | semidirect |