Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. #17986373 | C2 | semidirect |
| 3. #17986349 | C2 | semidirect |
| 4. #17986201 | C2 | semidirect |
| 5. #17986138 | C2 | semidirect |
| 6. #17986052 | C2 | semidirect |
| 7. C2×C4⋊Q8×C71 | C2 | semidirect |
| 65. C2×C4×C71 | SD16 | semidirect |
| 101. C71 | #3206 | semidirect |
| 103. C2×C4⋊Q8 | D71 | semidirect |
| 173. C2×C4 | #11765852 | semidirect |