Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
394 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19099070 | C2 | semidirect |
| 2. #19098580 | C2 | semidirect |
| 3. #19098526 | C2 | semidirect |
| 4. #19098320 | C2 | semidirect |
| 5. #575×C79 | C2 | semidirect |
| 35. C4×Dic79 | D4 | semidirect |
| 40. C2×Q8×C79 | D4 | semidirect |
| 42. C2×D4×C79 | D4 | semidirect |
| 49. C2×C8×C79 | D4 | semidirect |
| 99. C79 | #2010 | semidirect |
| 100. #575 | D79 | semidirect |
| 125. C2×Q8 | C22⋊D79 | semidirect |
| 128. C2×D4 | C22⋊D79 | semidirect |
| 142. C2×C8 | C22⋊D79 | semidirect |