Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
124 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 124 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×#14581937 | C2 | semidirect |
| 3. #19128821 | C2 | semidirect |
| 4. #19128794 | C2 | semidirect |
| 5. Dic167⋊C8 | C2 | semidirect |
| 6. #19128752 | C2 | semidirect |
| 7. #103×C167 | C2 | semidirect |
| 55. C167 | #463 | semidirect |
| 62. #103 | D167 | semidirect |