Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
280 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 115 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. C22×Dic302 | C2 | semidirect |
| 2. C2×Q8×D151 | C2 | semidirect |
| 3. #18012738 | C2 | semidirect |
| 4. #18012737 | C2 | semidirect |
| 5. #18012719 | C2 | semidirect |
| 6. #18012717 | C2 | semidirect |
| 7. #18012716 | C2 | semidirect |
| 8. #18012704 | C2 | semidirect |
| 11. C22⋊Q8×C151 | C2 | semidirect |
| 41. Dic302 | D4 | semidirect |
| 42. C22⋊D151 | Q8 | semidirect |
| 60. C22×C151 | C2×Q8 | semidirect |
| 64. C2×D151 | C2×Q8 | semidirect |
| 73. Dic151 | C2×Q8 | semidirect |
| 79. C151 | D4×Q8 | semidirect |
| 88. C22⋊Q8 | D151 | semidirect |
| 143. C22 | Q8×D151 | semidirect |