Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #17986552 | C2 | semidirect |
| 5. #17985771 | C2 | semidirect |
| 6. #17985758 | C2 | semidirect |
| 7. H(3,ℤ/4)×C71 | C2 | semidirect |
| 28. C2×Dic142 | Q8 | semidirect |
| 29. C2×D284 | Q8 | semidirect |
| 103. C71 | #2031 | semidirect |
| 110. H(3,ℤ/4) | D71 | semidirect |