Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
308 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19098910 | C2 | semidirect |
| 3. #19098843 | C2 | semidirect |
| 4. #19098769 | C2 | semidirect |
| 5. #19098306 | C2 | semidirect |
| 6. #19098292 | C2 | semidirect |
| 7. D4⋊C8×C79 | C2 | semidirect |
| 11. #14579161 | C22 | semidirect |
| 18. C4⋊(C79⋊C8) | C22 | semidirect |
| 23. C4⋊C8×C79 | C22 | semidirect |
| 24. C4×C8×C79 | C22 | semidirect |
| 59. D4×C79 | SD16 | semidirect |
| 110. C79 | #1639 | semidirect |
| 117. D4⋊C8 | D79 | semidirect |
| 130. C4⋊C8 | C2×D79 | semidirect |
| 134. C4×C8 | C2×D79 | semidirect |
| 180. D4 | #11929613 | semidirect |