Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
592 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 181 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. C22×Dic316 | C2 | semidirect |
| 2. C22×#11929613 | C2 | semidirect |
| 4. C2×#14579149 | C2 | semidirect |
| 5. #19098947 | C2 | direct (N × H) |
| 6. C2×C4×C8×C79 | C2 | semidirect |
| 10. C2×Dic316 | C22 | semidirect |
| 12. C2×#11929613 | C22 | semidirect |
| 16. #14579149 | C22 | semidirect |
| 21. C4×C8×C79 | C22 | semidirect |
| 75. C2×C79 | #495 | semidirect |
| 80. C79 | C2×#495 | semidirect |
| 86. C2×C4×C8 | D79 | semidirect |
| 101. C4×C8 | C2×D79 | semidirect |
| 156. C2 | #19098947 | direct (N × H) |