Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 93 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×C79⋊C16 | C2 | semidirect |
| 2. C2×#14579097 | C2 | semidirect |
| 3. #19098370 | C2 | direct (N × H) |
| 8. C2×C79⋊C16 | C22 | semidirect |
| 10. #14579097 | C22 | semidirect |
| 81. C2×C79 | #359 | semidirect |
| 84. C79 | C2×#359 | semidirect |
| 165. C2 | #19098370 | direct (N × H) |