Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. C4×D668 | C2 | semidirect |
| 4. C4⋊(C167⋊C8) | C2 | semidirect |
| 5. #19128756 | C2 | semidirect |
| 6. #19128753 | C2 | semidirect |
| 7. #124×C167 | C2 | semidirect |
| 55. C167 | #463 | semidirect |
| 59. #124 | D167 | semidirect |