Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
290 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 95 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×#14579093 | C2 | semidirect |
| 5. C4×C4⋊Dic79 | C2 | semidirect |
| 6. #19098326 | C2 | semidirect |
| 7. #336×C79 | C2 | semidirect |
| 17. #14579083 | C4 | semidirect |
| 119. C79 | #1926 | semidirect |
| 126. #336 | D79 | semidirect |