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×#14579094 | C2 | semidirect |
| 3. C2×#14579081 | C2 | semidirect |
| 4. C2×#14579081 | C2 | semidirect |
| 5. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. #380×C79 | C2 | semidirect |
| 41. C2×C79⋊C8 | D4 | semidirect |
| 144. C79 | #2033 | semidirect |
| 150. #380 | D79 | semidirect |