Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
318 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14579086 | C2 | semidirect |
| 3. C2×#14579086 | C2 | semidirect |
| 6. #19098461 | C2 | semidirect |
| 7. #336×C79 | C2 | semidirect |
| 130. C79 | #2042 | semidirect |
| 137. #336 | D79 | semidirect |