Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19098586 | C2 | semidirect |
| 3. C2×#14579078 | C2 | semidirect |
| 4. C2×#14579077 | C2 | semidirect |
| 5. C2×#14579077 | C2 | semidirect |
| 6. M16×Dic79 | C2 | semidirect |
| 7. C2×#100×C79 | C2 | semidirect |
| 40. #11929608 | D4 | semidirect |
| 57. M16×C79 | D4 | semidirect |
| 109. Dic79 | #100 | semidirect |
| 117. C79 | #1965 | semidirect |
| 123. C2×#100 | D79 | semidirect |
| 169. M16 | C22⋊D79 | semidirect |