Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×Dic79⋊C8 | C2 | semidirect |
| 3. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 4. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 5. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 6. C2×C8×Dic79 | C2 | semidirect |
| 7. C2×C22⋊C8×C79 | C2 | semidirect |
| 30. C2×C22⋊D79 | C8 | semidirect |
| 45. C2×C79⋊C8 | D4 | semidirect |
| 65. C2×C8×C79 | D4 | semidirect |
| 140. Dic79 | C22⋊C8 | semidirect |
| 151. C79 | #1954 | semidirect |
| 157. C2×C22⋊C8 | D79 | semidirect |
| 211. C2×C8 | C22⋊D79 | semidirect |