Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
154 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 154 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×#14579107 | C2 | semidirect |
| 4. #19098388 | C2 | semidirect |
| 5. #19098367 | C2 | semidirect |
| 6. #19098366 | C2 | semidirect |
| 58. C22×C79 | Q32 | semidirect |
| 72. C79 | #2216 | semidirect |
| 130. C22 | #14579107 | semidirect |