Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
166 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 3. #19098315 | C2 | semidirect |
| 4. Q8⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098285 | C2 | semidirect |
| 7. C8×Q8×C79 | C2 | semidirect |
| 43. Q8×C79 | M16 | semidirect |
| 78. C79 | #1588 | semidirect |
| 79. C8×Q8 | D79 | semidirect |
| 121. Q8 | #11929607 | semidirect |