Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
200 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #19127454 | C2 | semidirect |
| 4. #19127453 | C2 | semidirect |
| 5. #335×C83 | C2 | semidirect |
| 25. C8×D83 | C8 | semidirect |
| 47. C8×C83 | C2×C8 | semidirect |
| 50. C83⋊C8 | C2×C8 | semidirect |
| 66. D83 | #335 | direct (N × H) |
| 68. C83 | C2×#335 | semidirect |
| 73. #335 | D83 | direct (N × H) |
| 118. C8 | C8×D83 | semidirect |