Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#13094044 | C2 | semidirect |
| 2. #15689673 | C2 | semidirect |
| 3. #15689518 | C2 | semidirect |
| 4. #15689515 | C2 | semidirect |
| 5. #15689513 | C2 | semidirect |
| 6. #15689510 | C2 | semidirect |
| 7. C2×#13093935 | C2 | semidirect |
| 8. C47×#532 | C2 | semidirect |
| 55. C2×C47⋊C8 | D4 | semidirect |
| 100. #532 | D47 | semidirect |
| 106. C47 | #3150 | semidirect |