Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 2. C2×#14579192 | C2 | semidirect |
| 3. #19098580 | C2 | semidirect |
| 4. #19098572 | C2 | semidirect |
| 5. #19098536 | C2 | semidirect |
| 6. #19098333 | C2 | semidirect |
| 7. #536×C79 | C2 | semidirect |
| 137. C79 | #2009 | semidirect |
| 140. #536 | D79 | semidirect |