Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
780 conjugacy classes of subgroups; only the 325 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 325 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. #19098414 | C2 | semidirect |
| 3. C4×C22⋊Dic79 | C2 | semidirect |
| 4. #19098410 | C2 | semidirect |
| 5. #19098408 | C2 | semidirect |
| 6. #95×D79 | C2 | semidirect |
| 7. C2×#95×C79 | C2 | semidirect |
| 10. C4×C22⋊D79 | C4 | semidirect |
| 27. C2×C4×D79 | C2×C4 | semidirect |
| 28. Dic79⋊C4 | C2×C4 | semidirect |
| 29. C22⋊Dic79 | C2×C4 | semidirect |
| 30. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 32. C4×Dic79 | C2×C4 | semidirect |
| 35. C22×C4×C79 | C2×C4 | semidirect |
| 50. C22⋊D79 | C42 | semidirect |
| 78. C79 | #2275 | semidirect |
| 85. C2×#95 | D79 | semidirect |
| 108. C22×C4 | C4×D79 | semidirect |