Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19098569 | C2 | semidirect |
| 4. #19098567 | C2 | semidirect |
| 5. C2×#14579077 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. #339×C79 | C2 | semidirect |
| 13. #14579158 | C4 | semidirect |
| 38. C2×D316 | C2×C4 | semidirect |
| 44. C4⋊Dic79 | D4 | semidirect |
| 53. C4⋊C4×C79 | D4 | semidirect |
| 57. C42×C79 | C2×C4 | semidirect |
| 115. C79 | #1887 | semidirect |
| 122. #339 | D79 | semidirect |
| 165. C4⋊C4 | D316 | semidirect |
| 172. C42 | C4×D79 | semidirect |