Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
302 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 302 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. #19098603 | C2 | semidirect |
| 5. #19098332 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. #384×C79 | C2 | semidirect |
| 19. #14579089 | C4 | semidirect |
| 38. #11929608 | C2×C4 | semidirect |
| 58. C42×C79 | C2×C4 | semidirect |
| 80. D316 | C4⋊C4 | semidirect |
| 85. Dic158 | C4⋊C4 | semidirect |
| 113. C79 | #1859 | semidirect |
| 118. #384 | D79 | semidirect |
| 171. C42 | C4×D79 | semidirect |