Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
752 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 4. #17986006 | C2 | direct (N × H) |
| 5. C2×#14556053 | C2 | semidirect |
| 6. C2×#14556052 | C2 | semidirect |
| 7. C2×#14556051 | C2 | semidirect |
| 8. C2×#103×C71 | C2 | semidirect |
| 13. C2×Q8×D71 | C4 | semidirect |
| 25. #14556053 | C22 | semidirect |
| 26. #14556052 | C22 | semidirect |
| 27. #14556051 | C22 | semidirect |
| 31. #103×C71 | C22 | semidirect |
| 41. Q8×D71 | C2×C4 | semidirect |
| 117. C2×C71 | #419 | semidirect |
| 123. C71 | C2×#419 | semidirect |
| 131. C2×#103 | D71 | semidirect |
| 154. #103 | C2×D71 | semidirect |
| 241. C2 | #17986006 | direct (N × H) |