Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
456 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 153 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. #19098505 | C2 | semidirect |
| 2. #19098497 | C2 | semidirect |
| 3. #19098447 | C2 | semidirect |
| 4. #19098447 | C2 | semidirect |
| 109. C79 | #2569 | semidirect |