Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14556074 | C2 | semidirect |
| 4. #17985804 | C2 | semidirect |
| 5. #17985803 | C2 | semidirect |
| 7. C2×Q32×C71 | C2 | semidirect |
| 70. C2×D71 | Q32 | semidirect |
| 83. C71 | #2188 | semidirect |
| 86. C2×Q32 | D71 | semidirect |