Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
780 conjugacy classes of subgroups; only the 325 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 325 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 |
|---|---|---|
| 3. C4⋊C4×Dic79 | C2 | semidirect |
| 4. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 5. #19098410 | C2 | semidirect |
| 6. #19098409 | C2 | semidirect |
| 7. #95×D79 | C2 | semidirect |
| 8. C4×C4⋊C4×C79 | C2 | semidirect |
| 12. C4×D316 | C4 | semidirect |
| 13. #14579123 | C4 | semidirect |
| 36. C2×C4×D79 | C2×C4 | semidirect |
| 37. C2×C4×D79 | C2×C4 | semidirect |
| 38. C4⋊Dic79 | C2×C4 | semidirect |
| 39. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 40. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 42. C4×Dic79 | C2×C4 | semidirect |
| 47. C4⋊C4×C79 | C2×C4 | semidirect |
| 49. C42×C79 | C2×C4 | semidirect |
| 74. D316 | C42 | semidirect |
| 101. C79 | #2275 | semidirect |
| 105. C4×C4⋊C4 | D79 | semidirect |
| 144. C4⋊C4 | C4×D79 | semidirect |
| 150. C42 | C4×D79 | semidirect |