Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
280 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19098527 | C2 | semidirect |
| 3. #19098288 | C2 | semidirect |
| 4. #19098286 | C2 | semidirect |
| 5. C2×C22⋊C8×C79 | C2 | semidirect |
| 112. C79 | #1468 | semidirect |
| 115. C2×C22⋊C8 | D79 | semidirect |