Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
552 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 185 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. #19098451 | C2 | semidirect |
| 4. #19098451 | C2 | semidirect |
| 5. #19098450 | C2 | semidirect |
| 6. #19098414 | C2 | semidirect |
| 7. C22⋊C4×Dic79 | C2 | semidirect |
| 8. C4×C22⋊Dic79 | C2 | semidirect |
| 11. #14579142 | C4 | semidirect |
| 34. C22×Dic79 | C2×C4 | semidirect |
| 41. Dic79⋊C4 | C2×C4 | semidirect |
| 45. C22⋊Dic79 | C2×C4 | semidirect |
| 127. C79 | #2374 | semidirect |