Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 173 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. #19098623 | C2 | semidirect |
| 3. #19098587 | C2 | semidirect |
| 5. M16×Dic79 | C2 | semidirect |
| 6. #423×C79 | C2 | semidirect |
| 14. C4⋊(C79⋊C8) | C22 | semidirect |
| 16. #14579071 | C22 | semidirect |
| 17. C8×Dic79 | C22 | semidirect |
| 20. C4⋊C8×C79 | C22 | semidirect |
| 76. C79 | #2921 | semidirect |
| 80. #423 | D79 | semidirect |
| 93. C4⋊C8 | C2×D79 | semidirect |