Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1232 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 1232 conjugacy classes of subgroups — too many to draw. Only its 349 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. C22×Dic79⋊C4 | C2 | semidirect |
| 4. #19098422 | C2 | direct (N × H) |
| 5. C2×C79⋊#95 | C2 | semidirect |
| 6. C2×#95×C79 | C2 | semidirect |
| 11. C22×C4×D79 | C4 | semidirect |
| 14. C2×Dic79⋊C4 | C22 | semidirect |
| 17. C79⋊#95 | C22 | semidirect |
| 20. #95×C79 | C22 | semidirect |
| 36. C2×C4×D79 | C2×C4 | semidirect |
| 59. C22×D79 | C4⋊C4 | semidirect |
| 74. C2×Dic79 | C22⋊C4 | semidirect |
| 93. C2×D79 | C2×C4⋊C4 | semidirect |
| 97. Dic79 | C2×C22⋊C4 | semidirect |
| 98. C2×C79 | #380 | semidirect |
| 106. C79 | C2×#380 | semidirect |
| 112. C2×#95 | D79 | semidirect |
| 126. #95 | C2×D79 | semidirect |
| 205. C2 | #19098422 | direct (N × H) |