Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
474 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 474 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. C22×#11929612 | C2 | semidirect |
| 4. C2×#14579081 | C2 | semidirect |
| 5. #19098468 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C2×#102×C79 | C2 | semidirect |
| 33. C2×Dic158 | D4 | semidirect |
| 49. C2×C79⋊C8 | D4 | semidirect |
| 63. C2×C8×C79 | D4 | semidirect |
| 95. C2×Dic79 | SD16 | semidirect |
| 136. C79 | #2014 | semidirect |
| 141. C2×#102 | D79 | semidirect |
| 197. C2×C8 | C22⋊D79 | semidirect |