Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 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 |
|---|---|---|
| 2. C4⋊C4×D167 | C2 | semidirect |
| 3. #19128763 | C2 | semidirect |
| 4. #19128754 | C2 | semidirect |
| 5. #19128752 | C2 | semidirect |
| 6. (C2×D167)⋊C8 | C2 | semidirect |
| 7. #106×C167 | C2 | semidirect |
| 52. C167 | #481 | semidirect |
| 57. #106 | D167 | semidirect |