Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 77 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. M32×D79 | C2 | semidirect |
| 3. C2×C16×D79 | C2 | semidirect |
| 4. #19098348 | C2 | semidirect |
| 5. #19098347 | C2 | semidirect |
| 6. #19098346 | C2 | semidirect |
| 7. #350×C79 | C2 | semidirect |
| 18. #14579101 | C22 | semidirect |
| 20. C2×C79⋊C16 | C22 | semidirect |
| 25. M32×C79 | C22 | semidirect |
| 26. C2×C16×C79 | C22 | semidirect |
| 107. D79 | #350 | direct (N × H) |
| 109. C79 | C2×#350 | semidirect |
| 116. #350 | D79 | direct (N × H) |
| 130. M32 | C2×D79 | semidirect |
| 135. C2×C16 | C2×D79 | semidirect |