Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #17986479 | C2 | semidirect |
| 3. C2×#14556056 | C2 | semidirect |
| 4. #17986003 | C2 | semidirect |
| 5. #17985901 | C2 | semidirect |
| 6. #17985767 | C2 | semidirect |
| 7. #339×C71 | C2 | semidirect |
| 11. #14556156 | C4 | semidirect |
| 39. C2×D284 | C2×C4 | semidirect |
| 59. M16×C71 | C2×C4 | semidirect |
| 95. D284 | C22⋊C4 | semidirect |
| 100. Dic142 | C22⋊C4 | semidirect |
| 133. C71 | #1883 | semidirect |
| 140. #339 | D71 | semidirect |
| 185. M16 | C4×D71 | semidirect |