Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
| 3. #19098365 | C2 | semidirect |
| 4. C2×M32×C79 | C2 | semidirect |
| 8. C2×D632 | C4 | semidirect |
| 11. #14579095 | C22 | semidirect |
| 15. C2×C16×C79 | C22 | semidirect |
| 63. C79 | #2140 | semidirect |
| 65. C2×M32 | D79 | semidirect |
| 76. C2×C16 | C2×D79 | semidirect |