Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
928 conjugacy classes of subgroups; only the 365 normal subgroups are shown.
This group has 928 conjugacy classes of subgroups — too many to draw. Only its 365 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. #19098468 | C2 | direct (N × H) |
| 8. C22×Dic158 | C4 | semidirect |
| 22. C2×Dic158 | C2×C4 | semidirect |
| 28. C22×Dic79 | Q8 | semidirect |
| 61. C2×Dic79 | C2×Q8 | semidirect |
| 77. C2×C79 | #391 | semidirect |
| 84. C79 | C2×#391 | semidirect |
| 161. C2 | #19098468 | direct (N × H) |