Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
320 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #19098409 | C2 | semidirect |
| 4. #19098324 | C2 | semidirect |
| 5. C4×M16×C79 | C2 | semidirect |
| 7. C4×Dic158 | C4 | semidirect |
| 8. C4×D316 | C4 | semidirect |
| 14. #14579087 | C4 | semidirect |
| 35. C4×Dic79 | C2×C4 | semidirect |
| 39. M16×C79 | C2×C4 | semidirect |
| 83. C79 | #1759 | semidirect |
| 86. C4×M16 | D79 | semidirect |
| 114. M16 | C4×D79 | semidirect |