Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
598 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 101 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×#14579075 | C2 | semidirect |
| 3. #19098419 | C2 | semidirect |
| 4. #19098329 | C2 | semidirect |
| 5. C22×C22⋊C4×C79 | C2 | semidirect |
| 6. C22×C22⋊D79 | C4 | semidirect |
| 12. C2×C22⋊Dic79 | C4 | semidirect |
| 21. C23×D79 | C2×C4 | semidirect |
| 30. C22×Dic79 | C2×C4 | semidirect |
| 31. C22×Dic79 | C2×C4 | semidirect |
| 52. C22⋊C4×C79 | D4 | semidirect |
| 108. C22×C79 | #99 | semidirect |
| 131. C79 | #1898 | semidirect |
| 133. C22×C22⋊C4 | D79 | semidirect |
| 183. C22⋊C4 | C22⋊D79 | semidirect |
| 242. C22 | #14579075 | semidirect |