Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 97 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. #17986052 | C2 | semidirect |
| 3. #17985729 | C2 | semidirect |
| 4. #17985726 | C2 | semidirect |
| 5. C2×C4⋊C8×C71 | C2 | semidirect |
| 24. #11765865 | C8 | semidirect |
| 69. D284 | C2×C8 | semidirect |
| 75. Dic142 | C2×C8 | semidirect |
| 102. C71 | #1477 | semidirect |
| 105. C2×C4⋊C8 | D71 | semidirect |