Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
296 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 89 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. #15689133 | C2 | semidirect |
| 4. C2×#13093942 | C2 | semidirect |
| 6. #15689078 | C2 | semidirect |
| 7. C2×#108×C47 | C2 | semidirect |
| 13. C2×#10625325 | C4 | semidirect |
| 108. C2×#108 | D47 | semidirect |
| 114. C47 | #1977 | semidirect |