Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
406 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14579187 | C2 | semidirect |
| 2. #19099141 | C2 | semidirect |
| 3. C2×#14579088 | C2 | semidirect |
| 4. C2×#14579087 | C2 | semidirect |
| 5. #19098466 | C2 | semidirect |
| 6. #19098331 | C2 | semidirect |
| 7. C2×AGL(1,ℤ/8)×C79 | C2 | semidirect |
| 45. #11929608 | D4 | semidirect |
| 68. C2×D4×C79 | D4 | semidirect |
| 74. M16×C79 | D4 | semidirect |
| 153. C79 | #2006 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D79 | semidirect |
| 205. C2×D4 | C22⋊D79 | semidirect |
| 218. M16 | C22⋊D79 | semidirect |