Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14556156 | C2 | semidirect |
| 2. C22×D568 | C2 | semidirect |
| 3. C2×#14556134 | C2 | semidirect |
| 4. #17986270 | C2 | direct (N × H) |
| 5. C2×#14556044 | C2 | semidirect |
| 6. C2×#108×C71 | C2 | semidirect |
| 10. #14556156 | C22 | semidirect |
| 16. C2×D568 | C22 | semidirect |
| 18. #14556134 | C22 | semidirect |
| 22. #14556044 | C22 | semidirect |
| 25. #108×C71 | C22 | semidirect |
| 104. C2×C71 | #472 | semidirect |
| 109. C71 | C2×#472 | semidirect |
| 114. C2×#108 | D71 | semidirect |
| 133. #108 | C2×D71 | semidirect |
| 215. C2 | #17986270 | direct (N × H) |