Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
162 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 59 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. Q16×Dic79 | C2 | semidirect |
| 4. #19098390 | C2 | semidirect |
| 6. C16×Dic79 | C2 | semidirect |
| 7. #358×C79 | C2 | semidirect |
| 11. #14579104 | C4 | semidirect |
| 30. C79⋊C16 | C2×C4 | semidirect |
| 33. Q16×C79 | C2×C4 | semidirect |
| 62. Dic79 | SD32 | semidirect |
| 68. C79 | C4×SD32 | semidirect |
| 73. #358 | D79 | semidirect |
| 92. Q16 | C4×D79 | semidirect |