Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
452 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 177 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. #19098642 | C2 | semidirect |
| 3. #19098640 | C2 | semidirect |
| 4. #19098616 | C2 | semidirect |
| 5. #19098525 | C2 | semidirect |
| 6. #431×C79 | C2 | semidirect |
| 9. C2×#11929607 | C22 | semidirect |
| 16. C4⋊(C79⋊C8) | C22 | semidirect |
| 18. (C2×D79)⋊C8 | C22 | semidirect |
| 19. C4×C79⋊C8 | C22 | semidirect |
| 21. C4⋊C8×C79 | C22 | semidirect |
| 23. C4×C8×C79 | C22 | semidirect |
| 53. C2×C4×C79 | M16 | semidirect |
| 89. C79 | #2975 | semidirect |
| 94. #431 | D79 | semidirect |
| 107. C4⋊C8 | C2×D79 | semidirect |
| 112. C4×C8 | C2×D79 | semidirect |
| 148. C2×C4 | #11929607 | semidirect |