Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
408 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11929607 | C2 | semidirect |
| 3. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 4. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 5. #19098317 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C2×C22⋊C8×C79 | C2 | semidirect |
| 46. C2×C79⋊C8 | D4 | semidirect |
| 66. C2×C8×C79 | D4 | semidirect |
| 73. C23×C79 | M16 | semidirect |
| 104. C2×Dic79 | M16 | semidirect |
| 152. C79 | #1870 | semidirect |
| 157. C2×C22⋊C8 | D79 | semidirect |
| 213. C2×C8 | C22⋊D79 | semidirect |
| 232. C23 | #11929607 | semidirect |