Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. C22×#11929611 | C2 | semidirect |
| 2. C2×#14579137 | C2 | semidirect |
| 4. C2×#14579083 | C2 | semidirect |
| 5. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. C2×#103×C79 | C2 | semidirect |
| 51. C2×C79⋊C8 | D4 | semidirect |
| 53. C4⋊Dic79 | D4 | semidirect |
| 62. C2×Q8×C79 | D4 | semidirect |
| 85. C22×D79 | SD16 | semidirect |
| 158. C79 | #2000 | semidirect |
| 162. C2×#103 | D79 | semidirect |
| 194. C2×Q8 | D316 | semidirect |