Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19099037 | C2 | semidirect |
| 3. #19098579 | C2 | semidirect |
| 4. #19098569 | C2 | semidirect |
| 5. #19098536 | C2 | semidirect |
| 6. #19098320 | C2 | semidirect |
| 7. #344×C79 | C2 | semidirect |
| 12. C2×#11929613 | C4 | semidirect |
| 13. C2×D632 | C4 | semidirect |
| 30. C2×Dic158 | C2×C4 | semidirect |
| 35. C2×D316 | C2×C4 | semidirect |
| 56. C2×C8×C79 | C2×C4 | semidirect |
| 116. C79 | #1904 | semidirect |
| 122. #344 | D79 | semidirect |
| 165. C2×C8 | C4×D79 | semidirect |