Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
464 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
| 2. #19098462 | C2 | semidirect |
| 5. #19098449 | C2 | semidirect |
| 6. #19098449 | C2 | semidirect |
| 28. C22⋊Q8×C79 | C4 | semidirect |
| 111. C79 | #2378 | semidirect |
| 123. C22⋊Q8 | Dic79 | semidirect |