Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
124 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 51 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×#14558988 | C2 | semidirect |
| 2. C2×C8×D151 | C2 | semidirect |
| 4. Dic151⋊C8 | C2 | semidirect |
| 5. (C2×D151)⋊C8 | C2 | semidirect |
| 6. #18012649 | C2 | semidirect |
| 7. C22⋊C8×C151 | C2 | semidirect |
| 29. C151⋊C8 | D4 | semidirect |
| 43. C2×D151 | M16 | semidirect |
| 55. C151 | #435 | semidirect |
| 62. C22⋊C8 | D151 | semidirect |