Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19099329 | C2 | semidirect |
| 3. #19098569 | C2 | semidirect |
| 4. #19098567 | C2 | semidirect |
| 5. #19098536 | C2 | semidirect |
| 6. #19098319 | C2 | semidirect |
| 7. H(3,ℤ/4)×C79 | C2 | semidirect |
| 14. #14579158 | C4 | semidirect |
| 15. #14579149 | C4 | semidirect |
| 44. C2×C79⋊C8 | D4 | semidirect |
| 53. C2×C8×C79 | D4 | semidirect |
| 116. C79 | #1910 | semidirect |
| 123. H(3,ℤ/4) | D79 | semidirect |
| 165. C2×C8 | D316 | semidirect |