Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
192 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 71 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. D4×C83⋊C8 | C2 | semidirect |
| 3. #19127766 | C2 | semidirect |
| 4. #19127451 | C2 | semidirect |
| 5. #19127430 | C2 | semidirect |
| 6. #19127423 | C2 | semidirect |
| 7. D4⋊C8×C83 | C2 | semidirect |
| 25. #13050575 | C8 | semidirect |
| 45. D4×C83 | C2×C8 | semidirect |
| 54. D332 | C2×C8 | semidirect |
| 63. C83⋊C8 | C2×C8 | semidirect |
| 84. C83 | #1580 | semidirect |
| 90. D4⋊C8 | D83 | semidirect |
| 131. D4 | C8×D83 | semidirect |