Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19128880 | C2 | semidirect |
| 2. #19128864 | C2 | semidirect |
| 3. #19128863 | C2 | semidirect |
| 4. #19128855 | C2 | semidirect |
| 5. #19128854 | C2 | semidirect |
| 6. Q16×D167 | C2 | semidirect |
| 7. #19128838 | C2 | semidirect |
| 8. C2×Q16×C167 | C2 | semidirect |
| 59. C167 | #578 | semidirect |
| 67. C2×Q16 | D167 | semidirect |