Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
234 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 79 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. C2×Dic151⋊C4 | C2 | semidirect |
| 4. C151⋊#95 | C2 | semidirect |
| 5. #95×C151 | C2 | semidirect |
| 10. C2×C4×D151 | C4 | semidirect |
| 41. C2×D151 | C4⋊C4 | semidirect |
| 45. Dic151 | C22⋊C4 | semidirect |
| 52. C151 | #380 | semidirect |
| 58. #95 | D151 | semidirect |