Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
436 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19099113 | C2 | semidirect |
| 2. #19098843 | C2 | semidirect |
| 3. #19098840 | C2 | semidirect |
| 4. #19098797 | C2 | semidirect |
| 5. #19098758 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. C2×C4⋊(C79⋊C8) | C2 | semidirect |
| 8. #532×C79 | C2 | semidirect |
| 79. C2×C4×C79 | D8 | semidirect |
| 121. C79 | #3245 | semidirect |
| 123. #532 | D79 | semidirect |
| 208. C2×C4 | #11929609 | semidirect |