Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 107 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×C4⋊C4×D71 | C2 | semidirect |
| 3. C2×#14556050 | C2 | semidirect |
| 4. C2×#14556048 | C2 | semidirect |
| 5. C2×(C2×D71)⋊C8 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 7. #340×C71 | C2 | semidirect |
| 14. #14556103 | C4 | semidirect |
| 36. C2×D284 | C2×C4 | semidirect |
| 52. C4⋊Dic71 | D4 | semidirect |
| 63. C4⋊C4×C71 | C2×C4 | semidirect |
| 64. C4⋊C4×C71 | D4 | semidirect |
| 130. C2×D71 | #102 | semidirect |
| 149. C71 | #1874 | semidirect |
| 156. #340 | D71 | semidirect |
| 211. C4⋊C4 | C4×D71 | semidirect |
| 212. C4⋊C4 | D284 | semidirect |