Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1048 conjugacy classes of subgroups; only the 573 normal subgroups are shown.
This group has 1048 conjugacy classes of subgroups — too many to draw. Only its 573 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. #19099289 | C2 | direct (N × H) |
| 42. C2×Q8×C79 | Q8 | semidirect |
| 50. Q8×C79 | C2×Q8 | semidirect |
| 77. C2×C79 | #557 | semidirect |
| 82. C79 | C2×#557 | semidirect |
| 112. C2×Q8 | Dic158 | semidirect |
| 133. Q8 | C2×Dic158 | semidirect |
| 159. C2 | #19099289 | direct (N × H) |