Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×Dic316 | C2 | semidirect |
| 3. #19098838 | C2 | direct (N × H) |
| 4. C2×#14579097 | C2 | semidirect |
| 5. C2×#14579079 | C2 | semidirect |
| 13. C2×Dic316 | C22 | semidirect |
| 17. #14579097 | C22 | semidirect |
| 18. #14579079 | C22 | semidirect |
| 101. C2×C79 | #473 | semidirect |
| 104. C79 | C2×#473 | semidirect |
| 205. C2 | #19098838 | direct (N × H) |