Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
220 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19099364 | C2 | semidirect |
| 2. #19098999 | C2 | semidirect |
| 3. #19098830 | C2 | semidirect |
| 4. #19098376 | C2 | semidirect |
| 5. #19098371 | C2 | semidirect |
| 6. #19098346 | C2 | semidirect |
| 7. C2×D16×C79 | C2 | semidirect |
| 18. #14579101 | C22 | semidirect |
| 19. #14579097 | C22 | semidirect |
| 22. C2×D8×C79 | C22 | semidirect |
| 24. C2×C16×C79 | C22 | semidirect |
| 94. C79 | #2192 | semidirect |
| 97. C2×D16 | D79 | semidirect |
| 110. C2×D8 | C2×D79 | semidirect |
| 116. C2×C16 | C2×D79 | semidirect |