Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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×#14558992 | C2 | semidirect |
| 2. C2×C8×D151 | C2 | semidirect |
| 3. #18012719 | C2 | semidirect |
| 5. #18012670 | C2 | semidirect |
| 6. #18012664 | C2 | semidirect |
| 7. #102×C151 | C2 | semidirect |
| 30. C151⋊C8 | D4 | semidirect |
| 43. C2×D151 | SD16 | semidirect |
| 55. C151 | #465 | semidirect |
| 63. #102 | D151 | semidirect |