Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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×#14579104 | C2 | semidirect |
| 3. #19098948 | C2 | semidirect |
| 4. #19098645 | C2 | semidirect |
| 5. Dic79⋊C16 | C2 | semidirect |
| 6. #19098363 | C2 | semidirect |
| 7. #358×C79 | C2 | semidirect |
| 77. C79 | #2210 | semidirect |
| 83. #358 | D79 | semidirect |