Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
130 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 39 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×#14581935 | C2 | semidirect |
| 2. C2×#14581933 | C2 | semidirect |
| 3. #19128807 | C2 | semidirect |
| 4. #19128803 | C2 | semidirect |
| 5. #19128763 | C2 | semidirect |
| 6. #19128754 | C2 | semidirect |
| 7. #102×C167 | C2 | semidirect |
| 31. C167⋊C8 | D4 | semidirect |
| 59. C167 | #469 | semidirect |
| 67. #102 | D167 | semidirect |