Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1088 conjugacy classes of subgroups; only the 341 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 341 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. C2×#14579120 | C2 | semidirect |
| 2. #19098426 | C2 | semidirect |
| 3. #19098423 | C2 | semidirect |
| 5. C4×C22⋊Dic79 | C2 | semidirect |
| 8. C2×C4⋊Dic79 | C22 | semidirect |
| 11. C2×C4×Dic79 | C22 | semidirect |
| 12. C79⋊#95 | C22 | semidirect |
| 15. C23×C4×C79 | C4 | semidirect |
| 57. C2×C4×C79 | C22⋊C4 | semidirect |
| 72. C22×C79 | #117 | semidirect |
| 86. C79 | #2280 | semidirect |
| 95. C23×C4 | Dic79 | semidirect |
| 145. C2×C4 | C22⋊Dic79 | semidirect |
| 158. C22 | #14579120 | semidirect |