Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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×#14579119 | C2 | semidirect |
| 3. C2×#14579082 | C2 | semidirect |
| 4. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 5. #19098326 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. C2×#102×C79 | C2 | semidirect |
| 12. #14579132 | C4 | semidirect |
| 45. C4⋊Dic79 | D4 | semidirect |
| 62. C4⋊C4×C79 | D4 | semidirect |
| 146. C79 | #1875 | semidirect |
| 150. C2×#102 | D79 | semidirect |
| 205. C4⋊C4 | C22⋊D79 | semidirect |