Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
458 conjugacy classes of subgroups; only the 217 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 217 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 |
|---|---|---|
| 1. #19099330 | C2 | semidirect |
| 2. #19098685 | C2 | semidirect |
| 3. #19098680 | C2 | semidirect |
| 4. #19098612 | C2 | semidirect |
| 5. C2×#14579088 | C2 | semidirect |
| 6. M16×Dic79 | C2 | semidirect |
| 9. #14579168 | C22 | semidirect |
| 14. #14579097 | C22 | semidirect |
| 15. #14579088 | C22 | semidirect |
| 16. #14579088 | C22 | semidirect |
| 17. #14579071 | C22 | semidirect |
| 18. C8×Dic79 | C22 | semidirect |
| 20. #137×C79 | C4 | semidirect |
| 21. AGL(1,ℤ/8)×C79 | C4 | semidirect |
| 44. Q16×C79 | C2×C4 | semidirect |
| 45. SD16×C79 | C2×C4 | semidirect |
| 46. D8×C79 | C2×C4 | semidirect |
| 86. C79 | #2956 | semidirect |
| 95. #137 | Dic79 | semidirect |
| 96. AGL(1,ℤ/8) | Dic79 | semidirect |
| 120. Q16 | C2×Dic79 | semidirect |
| 121. SD16 | C2×Dic79 | semidirect |
| 122. D8 | C2×Dic79 | semidirect |