Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 57 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×#14556073 | C2 | semidirect |
| 2. C2×#14556072 | C2 | semidirect |
| 3. C2×#14556071 | C2 | semidirect |
| 4. #17986377 | C2 | semidirect |
| 6. C16×Dic71 | C2 | semidirect |
| 7. C2×SD32×C71 | C2 | semidirect |
| 35. C71⋊C16 | D4 | semidirect |
| 43. C16×C71 | D4 | semidirect |
| 71. Dic71 | SD32 | semidirect |
| 77. C71 | #2248 | semidirect |
| 81. C2×SD32 | D71 | semidirect |
| 120. C16 | C22⋊D71 | semidirect |