Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
260 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#14579100 | C2 | semidirect |
| 3. #19098600 | C2 | semidirect |
| 4. #19098365 | C2 | semidirect |
| 5. #19098364 | C2 | semidirect |
| 6. #19098363 | C2 | semidirect |
| 7. #357×C79 | C2 | semidirect |
| 12. D8×D79 | C4 | semidirect |
| 16. C2×C79⋊C16 | C22 | semidirect |
| 17. #14579095 | C22 | semidirect |
| 20. C2×C16×C79 | C22 | semidirect |
| 21. #107×C79 | C22 | semidirect |
| 87. C79 | #2140 | semidirect |
| 94. #357 | D79 | semidirect |
| 105. C2×C16 | C2×D79 | semidirect |
| 107. #107 | C2×D79 | semidirect |