Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1088 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 285 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×#14579120 | C2 | semidirect |
| 3. #19098424 | C2 | semidirect |
| 4. #19098420 | C2 | semidirect |
| 6. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 7. C2×#117×C79 | C2 | semidirect |
| 12. C22×C4×D79 | C4 | semidirect |
| 16. C2×C4⋊Dic79 | C22 | semidirect |
| 19. C2×C4×Dic79 | C22 | semidirect |
| 20. C79⋊#95 | C22 | semidirect |
| 23. C2×C4⋊C4×C79 | C22 | semidirect |
| 25. C2×C42×C79 | C22 | semidirect |
| 73. C2×C4×C79 | C22⋊C4 | semidirect |
| 101. C2×D79 | #117 | semidirect |
| 114. C79 | #2280 | semidirect |
| 117. C2×#117 | D79 | semidirect |
| 133. C2×C4⋊C4 | C2×D79 | semidirect |
| 138. C2×C42 | C2×D79 | semidirect |
| 195. C2×C4 | (C2×D79)⋊C4 | semidirect |