Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #19098285 | C2 | semidirect |
| 4. C8×C79⋊C8 | C2 | semidirect |
| 17. #11929608 | C8 | direct (N × H) |
| 41. C8×C79 | M16 | semidirect |
| 43. C79⋊C8 | C2×C8 | semidirect |
| 59. C79 | C8×M16 | semidirect |
| 102. C8 | #11929608 | direct (N × H) |