Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
432 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 141 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. C79⋊#401 | C2 | semidirect |
| 2. #19098504 | C2 | semidirect |
| 5. C4×Dic79⋊C4 | C2 | semidirect |
| 7. #376×C79 | C2 | semidirect |
| 71. C79 | #2401 | semidirect |
| 78. #376 | D79 | semidirect |