Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 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×#14579183 | C2 | semidirect |
| 2. C2×#14579181 | C2 | semidirect |
| 3. #19099109 | C2 | semidirect |
| 4. #19098948 | C2 | semidirect |
| 5. #19098946 | C2 | semidirect |
| 6. #19098944 | C2 | semidirect |
| 7. #19098941 | C2 | semidirect |
| 8. #19098938 | C2 | semidirect |
| 9. #19098934 | C2 | semidirect |
| 10. C2×C8×Dic79 | C2 | semidirect |
| 11. C2×#135×C79 | C2 | semidirect |
| 55. C2×C79⋊C8 | D4 | semidirect |
| 74. C2×C8×C79 | D4 | semidirect |
| 119. Dic79 | #135 | semidirect |
| 126. C79 | #3147 | semidirect |
| 129. C2×#135 | D79 | semidirect |
| 194. C2×C8 | C22⋊D79 | semidirect |