Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
340 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19098972 | C2 | semidirect |
| 3. #19098968 | C2 | semidirect |
| 4. #19098965 | C2 | semidirect |
| 40. M16×C79 | Q8 | semidirect |
| 41. C2×C8×C79 | Q8 | semidirect |
| 81. C79 | #3164 | semidirect |
| 112. M16 | Dic158 | semidirect |
| 113. C2×C8 | Dic158 | semidirect |