Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
552 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14579194 | C2 | semidirect |
| 2. C2×#14579192 | C2 | semidirect |
| 3. C2×#14579191 | C2 | semidirect |
| 5. C2×#14579159 | C2 | semidirect |
| 6. #19098956 | C2 | semidirect |
| 7. #19098954 | C2 | semidirect |
| 8. #19098941 | C2 | semidirect |
| 9. #19098934 | C2 | semidirect |
| 10. M16×Dic79 | C2 | semidirect |
| 11. C2×#137×C79 | C2 | semidirect |
| 62. #11929608 | D4 | semidirect |
| 86. M16×C79 | D4 | semidirect |
| 140. Dic79 | #137 | semidirect |
| 147. C79 | #3152 | semidirect |
| 151. C2×#137 | D79 | semidirect |
| 224. M16 | C22⋊D79 | semidirect |