Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
402 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 161 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. #19098642 | C2 | semidirect |
| 3. #19098633 | C2 | semidirect |
| 4. C8×D316 | C2 | semidirect |
| 5. #19098620 | C2 | semidirect |
| 6. #19098528 | C2 | semidirect |
| 7. #431×C79 | C2 | semidirect |
| 93. C79 | #2981 | semidirect |
| 99. #431 | D79 | semidirect |