Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19099235 | C2 | semidirect |
| 2. #19098939 | C2 | semidirect |
| 3. #19098758 | C2 | semidirect |
| 4. #19098755 | C2 | semidirect |
| 5. Q8×C79⋊C8 | C2 | semidirect |
| 6. C4×#11929609 | C2 | semidirect |
| 7. #550×C79 | C2 | semidirect |
| 47. Q8×C79 | D8 | semidirect |
| 64. C79⋊C8 | #41 | semidirect |
| 84. C79 | #3391 | semidirect |
| 86. #550 | D79 | semidirect |
| 131. Q8 | #11929609 | semidirect |