Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
306 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 67 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×#14579088 | C2 | semidirect |
| 3. C2×#14579087 | C2 | semidirect |
| 4. #19098562 | C2 | semidirect |
| 5. #19098432 | C2 | semidirect |
| 6. #19098331 | C2 | semidirect |
| 7. #417×C79 | C2 | semidirect |
| 48. C4×Dic79 | D4 | semidirect |
| 129. C79 | #2039 | semidirect |
| 134. #417 | D79 | semidirect |