Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 348 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×#14579092 | C2 | semidirect |
| 3. C2×#14579085 | C2 | semidirect |
| 5. C2×C4×C79⋊C8 | C2 | semidirect |
| 7. #391×C79 | C2 | semidirect |
| 11. C2×#11929611 | C4 | semidirect |
| 73. C2×C4×C79 | SD16 | semidirect |
| 87. C79⋊C8 | C22⋊C4 | semidirect |
| 113. C79 | #1968 | semidirect |
| 119. #391 | D79 | semidirect |
| 192. C2×C4 | #11929611 | semidirect |