Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
342 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 127 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. #18012722 | C2 | direct (N × H) |
| 3. C2×Dic151⋊C4 | C2 | semidirect |
| 4. C2×C22⋊Dic151 | C2 | semidirect |
| 5. C2×(C2×D151)⋊C4 | C2 | semidirect |
| 6. C23×C4×C151 | C2 | semidirect |
| 12. Dic151⋊C4 | C22 | semidirect |
| 13. C22⋊Dic151 | C22 | semidirect |
| 14. (C2×D151)⋊C4 | C22 | semidirect |
| 18. C22×C4×C151 | C22 | semidirect |
| 47. C2×C151 | #123 | semidirect |
| 51. C151 | C2×#123 | semidirect |
| 54. C23×C4 | D151 | semidirect |
| 67. C22×C4 | C2×D151 | semidirect |
| 100. C2 | #18012722 | direct (N × H) |