Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 255 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. #19098591 | C2 | semidirect |
| 4. #19098589 | C2 | semidirect |
| 5. #19098586 | C2 | semidirect |
| 6. C2×Dic79⋊C8 | C2 | semidirect |
| 75. Dic79 | #131 | semidirect |
| 81. C79 | #2906 | semidirect |