Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
276 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19127723 | C2 | semidirect |
| 3. C4×C8×D83 | C2 | semidirect |
| 4. #19127430 | C2 | semidirect |
| 5. D4⋊(C83⋊C8) | C2 | semidirect |
| 6. #19127428 | C2 | semidirect |
| 7. D4⋊C8×C83 | C2 | semidirect |
| 118. C83 | #1492 | semidirect |
| 125. D4⋊C8 | D83 | semidirect |