Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19098601 | C2 | semidirect |
| 4. #19098319 | C2 | semidirect |
| 5. #427×C79 | C2 | semidirect |
| 12. C2×#11929607 | C4 | semidirect |
| 13. C2×C8×D79 | C4 | semidirect |
| 93. C79 | #1812 | semidirect |
| 96. #427 | D79 | semidirect |