Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #19098970 | C2 | semidirect |
| 4. #19098968 | C2 | semidirect |
| 5. #19098966 | C2 | semidirect |
| 6. #19098959 | C2 | semidirect |
| 9. #498×C79 | C2 | semidirect |
| 43. #11929607 | Q8 | semidirect |
| 86. C8×C79 | C2×Q8 | semidirect |
| 87. C79⋊C8 | C2×Q8 | semidirect |
| 107. C79 | #3165 | semidirect |
| 114. #498 | D79 | semidirect |
| 194. C8 | Q8×D79 | semidirect |