Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
200 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19098339 | C2 | semidirect |
| 4. #19098338 | C2 | semidirect |
| 5. #346×C79 | C2 | semidirect |
| 10. C16×D79 | C4 | semidirect |
| 24. C79⋊C16 | C2×C4 | semidirect |
| 28. C16×C79 | C2×C4 | semidirect |
| 51. D79 | #346 | direct (N × H) |
| 53. C79 | C2×#346 | semidirect |
| 58. #346 | D79 | direct (N × H) |
| 81. C16 | C4×D79 | semidirect |