Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
390 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#14579077 | C2 | semidirect |
| 3. #19098527 | C2 | semidirect |
| 4. #19098331 | C2 | semidirect |
| 5. C22×M16×C79 | C2 | semidirect |
| 50. M16×C79 | D4 | semidirect |
| 93. C22×C79 | #100 | semidirect |
| 114. C79 | #1900 | semidirect |
| 115. C22×M16 | D79 | semidirect |
| 159. M16 | C22⋊D79 | semidirect |
| 211. C22 | #14579077 | semidirect |