Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
182 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19127779 | C2 | semidirect |
| 2. D4×C83⋊C8 | C2 | semidirect |
| 3. #19127454 | C2 | semidirect |
| 4. D4⋊(C83⋊C8) | C2 | semidirect |
| 5. D4⋊(C83⋊C8) | C2 | semidirect |
| 6. #19127423 | C2 | semidirect |
| 47. D4×C83 | M16 | semidirect |
| 63. C83⋊C8 | D8 | semidirect |
| 84. C83 | #1581 | semidirect |
| 131. D4 | #13050574 | semidirect |