Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
186 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#14579102 | C2 | semidirect |
| 2. #19098938 | C2 | semidirect |
| 3. D8×Dic79 | C2 | semidirect |
| 4. Dic79⋊C16 | C2 | semidirect |
| 5. #19098365 | C2 | semidirect |
| 6. #19098364 | C2 | semidirect |
| 7. C2×D16×C79 | C2 | semidirect |
| 38. D8×C79 | D4 | semidirect |
| 74. Dic79 | D16 | semidirect |
| 82. C79 | #2206 | semidirect |
| 84. C2×D16 | D79 | semidirect |
| 115. D8 | C22⋊D79 | semidirect |