Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
596 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19098489 | C2 | semidirect |
| 3. #19098464 | C2 | semidirect |
| 4. #19098442 | C2 | semidirect |
| 5. #19098428 | C2 | semidirect |
| 6. C4×C22⋊Dic79 | C2 | semidirect |
| 7. C22×C4⋊C4×C79 | C2 | semidirect |
| 93. C79 | #2504 | semidirect |
| 95. C22×C4⋊C4 | D79 | semidirect |