Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 216 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 |
|---|---|---|
| 2. C2×#14579104 | C2 | semidirect |
| 3. #19098835 | C2 | semidirect |
| 4. #19098377 | C2 | semidirect |
| 5. #19098370 | C2 | semidirect |
| 6. #19098348 | C2 | semidirect |
| 7. #510×C79 | C2 | semidirect |
| 17. C2×C79⋊C16 | C22 | semidirect |
| 18. #14579097 | C22 | semidirect |
| 21. C2×Q16×C79 | C22 | semidirect |
| 24. M32×C79 | C22 | semidirect |
| 92. C79 | #2194 | semidirect |
| 94. #510 | D79 | semidirect |
| 106. C2×Q16 | C2×D79 | semidirect |
| 113. M32 | C2×D79 | semidirect |