Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
124 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14579682 | C2 | semidirect |
| 2. C2×C8×D163 | C2 | semidirect |
| 4. C4⋊(C163⋊C8) | C2 | semidirect |
| 5. (C2×D163)⋊C8 | C2 | semidirect |
| 6. (C2×D163)⋊C8 | C2 | semidirect |
| 7. #97×C163 | C2 | semidirect |
| 36. C8×C163 | D4 | semidirect |
| 43. C2×D163 | M16 | semidirect |
| 55. C163 | #435 | semidirect |
| 63. #97 | D163 | semidirect |
| 92. C8 | D652 | semidirect |