Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 213 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. #19098606 | C2 | semidirect |
| 4. #19098602 | C2 | semidirect |
| 5. #19098600 | C2 | semidirect |
| 6. C2×#14579095 | C2 | semidirect |
| 7. #107×D79 | C2 | semidirect |
| 8. #427×C79 | C2 | semidirect |
| 10. #14579167 | C4 | semidirect |
| 37. #11929608 | C2×C4 | semidirect |
| 38. #11929607 | C2×C4 | semidirect |
| 40. C8×D79 | C2×C4 | semidirect |
| 47. C2×C8×C79 | C2×C4 | semidirect |
| 94. C79 | #2913 | semidirect |
| 100. #427 | D79 | semidirect |
| 136. C2×C8 | C4×D79 | semidirect |