Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
280 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#14579078 | C2 | semidirect |
| 3. #19098352 | C2 | semidirect |
| 4. #19098349 | C2 | semidirect |
| 5. C2×#99×C79 | C2 | semidirect |
| 6. C22×C22⋊D79 | C4 | semidirect |
| 9. #14579142 | C4 | semidirect |
| 14. #14579129 | C4 | semidirect |
| 16. C2×C22⋊Dic79 | C4 | semidirect |
| 23. C23×D79 | C2×C4 | semidirect |
| 31. C22×Dic79 | C2×C4 | semidirect |
| 40. C22⋊Dic79 | C2×C4 | semidirect |
| 41. C22⋊Dic79 | C2×C4 | semidirect |
| 127. C79 | #2121 | semidirect |
| 130. C2×#99 | D79 | semidirect |