Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
374 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 115 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×Q8×Dic71 | C2 | semidirect |
| 2. C2×#14556052 | C2 | semidirect |
| 5. #17985762 | C2 | semidirect |
| 6. #17985753 | C2 | semidirect |
| 24. C2×SD16×C71 | C4 | semidirect |
| 73. Q8×C71 | C22⋊C4 | semidirect |
| 98. C2×Dic71 | SD16 | semidirect |
| 133. C71 | #1880 | semidirect |
| 145. C2×SD16 | Dic71 | semidirect |
| 206. Q8 | C22⋊Dic71 | semidirect |