Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
168 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19098341 | C2 | direct (N × H) |
| 4. #14579101 | C4 | semidirect |
| 6. C2×C79⋊C16 | C4 | semidirect |
| 12. C79⋊C16 | C2×C4 | semidirect |
| 47. C2×C79 | #347 | semidirect |
| 50. C79 | C2×#347 | semidirect |
| 97. C2 | #19098341 | direct (N × H) |