Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
496 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14556099 | C2 | semidirect |
| 2. C2×#14556049 | C2 | semidirect |
| 3. C2×(C2×D71)⋊C8 | C2 | semidirect |
| 4. #17985762 | C2 | semidirect |
| 5. C22×D8×C71 | C2 | semidirect |
| 32. C4⋊Dic71 | D4 | semidirect |
| 40. C2×D4×C71 | D4 | semidirect |
| 44. C2×C8×C71 | D4 | semidirect |
| 57. C22×D71 | D8 | semidirect |
| 107. C71 | #1999 | semidirect |
| 108. C22×D8 | D71 | semidirect |
| 136. C2×D4 | C22⋊D71 | semidirect |
| 148. C2×C8 | C22⋊D71 | semidirect |