Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
312 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
| 4. C4×Dic79⋊C4 | C2 | semidirect |
| 5. #19098324 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 9. Q8×Dic79 | C4 | semidirect |
| 10. Q8×Dic79 | C4 | semidirect |
| 13. D4×Dic79 | C4 | semidirect |
| 14. D4×Dic79 | C4 | semidirect |
| 72. Q8×C79 | C4⋊C4 | semidirect |
| 76. D4×C79 | C4⋊C4 | semidirect |
| 124. Dic79 | #104 | semidirect |
| 132. C79 | #1806 | semidirect |
| 204. Q8 | Dic79⋊C4 | semidirect |
| 208. D4 | Dic79⋊C4 | semidirect |