Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×Dic79⋊C8 | C2 | semidirect |
| 3. C2×#14579083 | C2 | semidirect |
| 4. C2×#14579082 | C2 | semidirect |
| 5. C2×#14579081 | C2 | semidirect |
| 6. C4⋊C4×Dic79 | C2 | semidirect |
| 7. C2×#102×C79 | C2 | semidirect |
| 13. #14579157 | C4 | semidirect |
| 46. C4⋊Dic79 | D4 | semidirect |
| 63. C4⋊C4×C79 | D4 | semidirect |
| 137. Dic79 | #102 | semidirect |
| 148. C79 | #1982 | semidirect |
| 154. C2×#102 | D79 | semidirect |
| 208. C4⋊C4 | C22⋊D79 | semidirect |