Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
290 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 290 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. #19098428 | C2 | semidirect |
| 6. #19098331 | C2 | semidirect |
| 7. #417×C79 | C2 | semidirect |
| 47. C4×Dic79 | D4 | semidirect |
| 128. C79 | #2040 | semidirect |
| 133. #417 | D79 | semidirect |