Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
232 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#14579100 | C2 | semidirect |
| 3. #107×D79 | C2 | semidirect |
| 4. #19098367 | C2 | semidirect |
| 5. #19098365 | C2 | semidirect |
| 6. #19098363 | C2 | semidirect |
| 7. #358×C79 | C2 | semidirect |
| 10. #14579184 | C4 | semidirect |
| 31. D632 | C2×C4 | semidirect |
| 40. Q16×C79 | C2×C4 | semidirect |
| 82. C79 | #2139 | semidirect |
| 87. #358 | D79 | semidirect |
| 113. Q16 | C4×D79 | semidirect |