Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
182 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19127422 | C2 | semidirect |
| 7. #436×C83 | C2 | semidirect |
| 54. D332 | M16 | semidirect |
| 59. C8×C83 | D8 | semidirect |
| 84. C83 | #1581 | semidirect |
| 86. #436 | D83 | semidirect |
| 147. C8 | #13050575 | semidirect |