Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
888 conjugacy classes of subgroups; only the 429 normal subgroups are shown.
This group has 888 conjugacy classes of subgroups — too many to draw. Only its 429 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 |
|---|---|---|
| 4. #19098432 | C2 | direct (N × H) |
| 12. C2×C4×Dic79 | C4 | semidirect |
| 27. C4×Dic79 | C2×C4 | semidirect |
| 46. C2×C4×C79 | C4⋊C4 | semidirect |
| 53. C2×Dic79 | C4⋊C4 | semidirect |
| 68. C4×C79 | C2×C4⋊C4 | semidirect |
| 70. Dic79 | C2×C4⋊C4 | semidirect |
| 71. C2×C79 | #384 | semidirect |
| 78. C79 | C2×#384 | semidirect |
| 131. C2×C4 | Dic79⋊C4 | semidirect |
| 148. C4 | C2×Dic79⋊C4 | semidirect |
| 149. C2 | #19098432 | direct (N × H) |