Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19099037 | C2 | semidirect |
| 3. #19098568 | C2 | semidirect |
| 4. C2×#14579077 | C2 | semidirect |
| 5. #19098324 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #418×C79 | C2 | semidirect |
| 12. #14579157 | C4 | semidirect |
| 38. C4⋊Dic79 | D4 | semidirect |
| 43. C4×Dic79 | C2×C4 | semidirect |
| 50. C2×D4×C79 | C2×C4 | semidirect |
| 55. C4⋊C4×C79 | D4 | semidirect |
| 115. C79 | #1887 | semidirect |
| 119. #418 | D79 | semidirect |
| 154. C2×D4 | C4×D79 | semidirect |
| 165. C4⋊C4 | C22⋊D79 | semidirect |