Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
124 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 61 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×#14581934 | C2 | semidirect |
| 2. C22×C167⋊C8 | C2 | semidirect |
| 3. C4⋊(C167⋊C8) | C2 | semidirect |
| 4. C22⋊(C167⋊C8) | C2 | semidirect |
| 5. C22⋊(C167⋊C8) | C2 | semidirect |
| 6. #19128743 | C2 | semidirect |
| 24. C167⋊C8 | D4 | semidirect |
| 42. C22×C167 | M16 | semidirect |
| 55. C167 | #435 | semidirect |
| 98. C22 | #14581934 | semidirect |