Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
326 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14579087 | C2 | semidirect |
| 3. #19098562 | C2 | semidirect |
| 4. C2×#14579077 | C2 | semidirect |
| 5. #19098464 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #428×C79 | C2 | semidirect |
| 56. M16×C79 | D4 | semidirect |
| 131. C79 | #2037 | semidirect |
| 133. #428 | D79 | semidirect |
| 181. M16 | D316 | semidirect |