Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19098872 | C2 | semidirect |
| 4. #19098868 | C2 | semidirect |
| 5. #19098856 | C2 | semidirect |
| 6. #19098846 | C2 | semidirect |
| 65. C2×Q8×C79 | Q8 | semidirect |
| 117. C79 | #3082 | semidirect |
| 161. C2×Q8 | Dic158 | semidirect |