Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
280 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 115 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. C22×Dic334 | C2 | semidirect |
| 2. C2×Q8×D167 | C2 | semidirect |
| 3. #19128831 | C2 | semidirect |
| 4. #19128830 | C2 | semidirect |
| 5. #19128812 | C2 | semidirect |
| 6. #19128810 | C2 | semidirect |
| 7. #19128809 | C2 | semidirect |
| 8. #19128797 | C2 | semidirect |
| 11. C22⋊Q8×C167 | C2 | semidirect |
| 41. Dic334 | D4 | semidirect |
| 42. C22⋊D167 | Q8 | semidirect |
| 60. C22×C167 | C2×Q8 | semidirect |
| 64. C2×D167 | C2×Q8 | semidirect |
| 73. Dic167 | C2×Q8 | semidirect |
| 79. C167 | D4×Q8 | semidirect |
| 88. C22⋊Q8 | D167 | semidirect |
| 143. C22 | Q8×D167 | semidirect |