Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
176 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19098911 | C2 | semidirect |
| 3. D4×C79⋊C8 | C2 | semidirect |
| 4. #19098313 | C2 | semidirect |
| 5. #19098312 | C2 | semidirect |
| 6. #19098306 | C2 | semidirect |
| 7. #476×C79 | C2 | semidirect |
| 83. C79 | #1677 | semidirect |
| 85. #476 | D79 | semidirect |