Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
438 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 103 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×C4×D316 | C2 | semidirect |
| 3. C2×#14579083 | C2 | semidirect |
| 4. C2×#14579083 | C2 | semidirect |
| 5. #19098465 | C2 | semidirect |
| 6. #19098326 | C2 | semidirect |
| 7. #336×C79 | C2 | semidirect |
| 13. C2×D632 | C4 | semidirect |
| 37. C2×D316 | C2×C4 | semidirect |
| 61. C2×C8×C79 | C2×C4 | semidirect |
| 84. C2×C4×C79 | D8 | semidirect |
| 104. D316 | C22⋊C4 | semidirect |
| 147. C79 | #1879 | semidirect |
| 154. #336 | D79 | semidirect |
| 201. C2×C8 | C4×D79 | semidirect |
| 246. C2×C4 | D632 | semidirect |