Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
708 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 197 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×#14579145 | C2 | semidirect |
| 3. C22×C4⋊Dic79 | C2 | semidirect |
| 4. #19098500 | C2 | semidirect |
| 5. #19098465 | C2 | semidirect |
| 6. #19098433 | C2 | semidirect |
| 7. C4×C22⋊C4×C79 | C2 | semidirect |
| 45. C22⋊C4×C79 | D4 | semidirect |
| 85. C4×C79 | #123 | semidirect |
| 95. C79 | #2501 | semidirect |
| 102. C4×C22⋊C4 | D79 | semidirect |
| 140. C22⋊C4 | D316 | semidirect |
| 182. C4 | #14579145 | semidirect |