Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14579092 | C2 | semidirect |
| 4. #19098461 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098318 | C2 | semidirect |
| 15. #14579082 | C4 | semidirect |
| 31. C2×C79⋊C8 | C2×C4 | semidirect |
| 35. C4⋊Dic79 | C2×C4 | semidirect |
| 67. D4×C79 | C4⋊C4 | semidirect |
| 124. C79 | #1864 | semidirect |
| 191. D4 | Dic79⋊C4 | semidirect |