Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
266 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19098586 | C2 | semidirect |
| 3. C2×#14579088 | C2 | semidirect |
| 4. C2×#14579087 | C2 | semidirect |
| 5. #19098545 | C2 | semidirect |
| 6. C79⋊#338 | C2 | semidirect |
| 7. #413×C79 | C2 | semidirect |
| 123. C79 | #2050 | semidirect |
| 129. #413 | D79 | semidirect |