Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 195 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 195 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. #19098693 | C2 | semidirect |
| 3. #19098690 | C2 | semidirect |
| 4. Q8×C79⋊C8 | C2 | semidirect |
| 7. C8×Q8×C79 | C2 | semidirect |
| 30. #11929607 | Q8 | direct (N × H) |
| 44. Q8×C79 | M16 | semidirect |
| 57. C8×C79 | C2×Q8 | semidirect |
| 59. C79⋊C8 | C2×Q8 | semidirect |
| 76. C79 | Q8×M16 | semidirect |
| 81. C8×Q8 | D79 | semidirect |
| 121. Q8 | #11929607 | direct (N × H) |
| 135. C8 | Q8×D79 | semidirect |