Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
198 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 45 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×D4×D167 | C2 | semidirect |
| 2. C2×#14581935 | C2 | semidirect |
| 3. #19128803 | C2 | semidirect |
| 4. #19128754 | C2 | semidirect |
| 5. #19128753 | C2 | semidirect |
| 6. (C2×D167)⋊C8 | C2 | semidirect |
| 7. C2×D8×C167 | C2 | semidirect |
| 16. C2×C167⋊C8 | C22 | semidirect |
| 17. C4⋊Dic167 | C22 | semidirect |
| 20. C2×D4×C167 | C22 | semidirect |
| 22. C2×C8×C167 | C22 | semidirect |
| 29. D668 | D4 | semidirect |
| 42. D4×C167 | D4 | semidirect |
| 58. C2×D167 | D8 | semidirect |
| 70. C167 | #447 | semidirect |
| 74. C2×D8 | D167 | semidirect |
| 86. C2×D4 | C2×D167 | semidirect |
| 91. C2×C8 | C2×D167 | semidirect |
| 108. D4 | C22⋊D167 | semidirect |