Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 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. C4×C4⋊Dic71 | C2 | semidirect |
| 3. #17985734 | C2 | semidirect |
| 4. #431×C71 | C2 | semidirect |
| 6. #14556128 | C4 | semidirect |
| 7. #14556125 | C4 | semidirect |
| 12. C4×D284 | C4 | semidirect |
| 90. C71 | #1502 | semidirect |
| 92. #431 | D71 | semidirect |