Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1144 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 349 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. #19098424 | C2 | direct (N × H) |
| 4. C2×C79⋊#95 | C2 | semidirect |
| 8. C23×Dic79 | C4 | semidirect |
| 14. C79⋊#95 | C22 | semidirect |
| 27. C22×Dic79 | C2×C4 | semidirect |
| 82. C2×C79 | #381 | semidirect |
| 88. C79 | C2×#381 | semidirect |
| 170. C2 | #19098424 | direct (N × H) |