Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
412 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. C22×#11929608 | C2 | semidirect |
| 2. C2×#14579082 | C2 | semidirect |
| 3. #19098423 | C2 | semidirect |
| 4. #19098325 | C2 | semidirect |
| 17. #121×C79 | C4 | semidirect |
| 24. C2×C79⋊C8 | D4 | semidirect |
| 105. C79 | #1895 | semidirect |
| 118. #121 | Dic79 | semidirect |