Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#14556050 | C2 | semidirect |
| 3. C2×#14556049 | C2 | semidirect |
| 4. C2×#14556048 | C2 | semidirect |
| 5. #17985898 | C2 | semidirect |
| 6. #17985753 | C2 | semidirect |
| 7. C2×#102×C71 | C2 | semidirect |
| 62. C4⋊C4×C71 | D4 | semidirect |
| 147. C71 | #2041 | semidirect |
| 152. C2×#102 | D71 | semidirect |
| 207. C4⋊C4 | C22⋊D71 | semidirect |