Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14579092 | C2 | semidirect |
| 5. #19098326 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. C2×#106×C79 | C2 | semidirect |
| 18. (C2×D79)⋊C8 | C4 | semidirect |
| 39. C2×C79⋊C8 | C2×C4 | semidirect |
| 51. C2×C8×C79 | C2×C4 | semidirect |
| 105. C2×D79 | #106 | semidirect |
| 124. C79 | #1853 | semidirect |
| 127. C2×#106 | D79 | semidirect |
| 169. C2×C8 | C4×D79 | semidirect |