Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
618 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 105 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×#14556056 | C2 | semidirect |
| 3. #17985963 | C2 | semidirect |
| 4. C4×C22⋊C4×C71 | C2 | semidirect |
| 8. C2×#11765865 | C4 | semidirect |
| 10. C22×Dic142 | C4 | semidirect |
| 11. C22×D284 | C4 | semidirect |
| 14. C2×#11765849 | C22 | semidirect |
| 20. C2×C42×C71 | C22 | semidirect |
| 84. D284 | C22⋊C4 | semidirect |
| 89. Dic142 | C22⋊C4 | semidirect |
| 99. C22×C71 | #104 | semidirect |
| 120. C71 | #1789 | semidirect |
| 124. C4×C22⋊C4 | D71 | semidirect |
| 137. C2×C42 | C2×D71 | semidirect |
| 223. C22 | #14556056 | semidirect |