Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 2. #19098959 | C2 | semidirect |
| 3. #19098911 | C2 | semidirect |
| 4. #19098881 | C2 | semidirect |
| 5. #19098850 | C2 | semidirect |
| 6. #19098616 | C2 | semidirect |
| 7. C2×C4⋊Q8×C79 | C2 | semidirect |
| 100. C79 | #3227 | semidirect |
| 102. C2×C4⋊Q8 | D79 | semidirect |