Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
392 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689680 | C2 | semidirect |
| 3. #15689492 | C2 | semidirect |
| 4. #15689488 | C2 | semidirect |
| 5. #15689483 | C2 | semidirect |
| 6. #15689120 | C2 | semidirect |
| 7. C2×#97×C47 | C2 | semidirect |
| 85. C2×#97 | D47 | semidirect |
| 86. C47 | #3135 | semidirect |