Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
368 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×#14579083 | C2 | semidirect |
| 3. C2×#14579081 | C2 | semidirect |
| 4. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 5. #19098420 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. C2×#106×C79 | C2 | semidirect |
| 56. C2×C8×C79 | D4 | semidirect |
| 144. C79 | #2034 | semidirect |
| 146. C2×#106 | D79 | semidirect |
| 196. C2×C8 | D316 | semidirect |