Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
154 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
| 5. #19098388 | C2 | semidirect |
| 6. #19098368 | C2 | semidirect |
| 7. #358×C79 | C2 | semidirect |
| 59. C2×D79 | Q32 | semidirect |
| 72. C79 | #2216 | semidirect |
| 79. #358 | D79 | semidirect |