Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
174 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 55 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×#14579102 | C2 | semidirect |
| 2. C22×C79⋊C16 | C2 | semidirect |
| 3. #19098799 | C2 | semidirect |
| 4. #19098388 | C2 | semidirect |
| 5. #19098364 | C2 | semidirect |
| 6. #19098363 | C2 | semidirect |
| 7. #466×C79 | C2 | semidirect |
| 28. C79⋊C16 | D4 | semidirect |
| 63. C22×C79 | D16 | semidirect |
| 80. C79 | #2215 | semidirect |
| 84. #466 | D79 | semidirect |
| 146. C22 | #14579102 | semidirect |