Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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×#11929613 | C2 | semidirect |
| 2. C2×#14579141 | C2 | semidirect |
| 4. C2×#14579084 | C2 | semidirect |
| 5. C2×#14579081 | C2 | semidirect |
| 6. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 7. #340×C79 | C2 | semidirect |
| 36. C2×Dic158 | D4 | semidirect |
| 66. C2×C8×C79 | D4 | semidirect |
| 70. C4⋊C4×C79 | D4 | semidirect |
| 85. C22×D79 | SD16 | semidirect |
| 158. C79 | #2000 | semidirect |
| 165. #340 | D79 | semidirect |
| 221. C2×C8 | D316 | semidirect |
| 226. C4⋊C4 | D316 | semidirect |