Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
292 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 105 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×C4⋊(C79⋊C8) | C2 | semidirect |
| 4. C2×C8×Dic79 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. #336×C79 | C2 | semidirect |
| 40. (C2×D79)⋊C4 | C8 | semidirect |
| 123. C79 | #1923 | semidirect |
| 130. #336 | D79 | semidirect |