Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
168 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 77 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. #19098389 | C2 | semidirect |
| 4. #19098388 | C2 | semidirect |
| 5. #366×C79 | C2 | semidirect |
| 9. C16×D79 | C4 | semidirect |
| 21. C79⋊C16 | C2×C4 | semidirect |
| 24. C16×C79 | C2×C4 | semidirect |
| 48. D79 | #366 | direct (N × H) |
| 50. C79 | C2×#366 | semidirect |
| 55. #366 | D79 | direct (N × H) |
| 74. C16 | C4×D79 | semidirect |