Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
256 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 81 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. C2×#14579096 | C2 | semidirect |
| 3. #19098599 | C2 | semidirect |
| 6. #19098335 | C2 | semidirect |
| 7. #344×C79 | C2 | semidirect |
| 11. #14579169 | C4 | semidirect |
| 12. #14579169 | C4 | semidirect |
| 106. C79 | #1814 | semidirect |
| 113. #344 | D79 | semidirect |