Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11929614 | C2 | semidirect |
| 4. #19098955 | C2 | direct (N × H) |
| 5. C2×#14579072 | C2 | semidirect |
| 6. C2×C4⋊Q8×C79 | C2 | semidirect |
| 10. C2×#11929614 | C22 | semidirect |
| 17. #14579072 | C22 | semidirect |
| 20. C4⋊Q8×C79 | C22 | semidirect |
| 78. C2×C79 | #497 | semidirect |
| 83. C79 | C2×#497 | semidirect |
| 86. C2×C4⋊Q8 | D79 | semidirect |
| 99. C4⋊Q8 | C2×D79 | semidirect |
| 162. C2 | #19098955 | direct (N × H) |