Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 224 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 |
|---|---|---|
| 1. C2×#14579101 | C2 | semidirect |
| 2. C22×C79⋊C16 | C2 | semidirect |
| 3. #19098347 | C2 | direct (N × H) |
| 6. #14579101 | C22 | semidirect |
| 10. C2×C79⋊C16 | C22 | semidirect |
| 80. C2×C79 | #350 | semidirect |
| 83. C79 | C2×#350 | semidirect |
| 163. C2 | #19098347 | direct (N × H) |