Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19098692 | C2 | semidirect |
| 3. #19098690 | C2 | semidirect |
| 33. C2×C79⋊C8 | Q8 | semidirect |
| 84. C79 | #2961 | semidirect |