Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
158 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×C8×D167 | C2 | semidirect |
| 3. #19128790 | C2 | semidirect |
| 4. #19128757 | C2 | semidirect |
| 5. #19128755 | C2 | semidirect |
| 6. #19128753 | C2 | semidirect |
| 7. #102×C167 | C2 | semidirect |
| 9. #14581949 | C4 | semidirect |
| 57. C167 | #416 | semidirect |
| 65. #102 | D167 | semidirect |