Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#14579085 | C2 | semidirect |
| 5. #19098326 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. C2×#103×C79 | C2 | semidirect |
| 12. #14579137 | C4 | semidirect |
| 44. C4⋊Dic79 | C2×C4 | semidirect |
| 54. C2×Q8×C79 | C2×C4 | semidirect |
| 116. C2×D79 | #103 | semidirect |
| 135. C79 | #1872 | semidirect |
| 139. C2×#103 | D79 | semidirect |
| 167. C2×Q8 | C4×D79 | semidirect |