Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
196 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. C8×D332 | C2 | semidirect |
| 3. #19127453 | C2 | semidirect |
| 4. D4⋊(C83⋊C8) | C2 | semidirect |
| 5. #19127428 | C2 | semidirect |
| 6. C8×C83⋊C8 | C2 | semidirect |
| 7. C8×D4×C83 | C2 | semidirect |
| 25. #13050575 | C8 | direct (N × H) |
| 45. D4×C83 | C2×C8 | semidirect |
| 54. D332 | C2×C8 | semidirect |
| 59. C8×C83 | D8 | semidirect |
| 63. C83⋊C8 | C2×C8 | semidirect |
| 84. C83 | C8×D8 | semidirect |
| 87. C8×D4 | D83 | semidirect |
| 131. D4 | C8×D83 | semidirect |
| 147. C8 | #13050575 | direct (N × H) |