Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
174 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 51 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×D1136 | C2 | semidirect |
| 2. C2×C16×D71 | C2 | semidirect |
| 3. #17986236 | C2 | semidirect |
| 4. #17985799 | C2 | semidirect |
| 5. #366×C71 | C2 | semidirect |
| 27. C16×C71 | D4 | semidirect |
| 47. C2×D71 | D16 | semidirect |
| 58. C71 | #2215 | semidirect |
| 62. #366 | D71 | semidirect |
| 85. C16 | D284 | semidirect |