Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
274 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14579094 | C2 | semidirect |
| 5. #19098428 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C2×#106×C79 | C2 | semidirect |
| 100. C79 | #2092 | semidirect |
| 102. C2×#106 | D79 | semidirect |