Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 217 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 217 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 |
|---|---|---|
| 1. #19098470 | C2 | semidirect |
| 4. #19098449 | C2 | semidirect |
| 5. #19098449 | C2 | semidirect |
| 7. C4⋊C4×Dic79 | C2 | semidirect |
| 28. C22⋊Q8×C79 | C4 | semidirect |
| 116. C79 | #2332 | semidirect |
| 128. C22⋊Q8 | Dic79 | semidirect |