Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
480 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 173 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×#14556128 | C2 | semidirect |
| 3. #17986280 | C2 | direct (N × H) |
| 4. C2×#14556062 | C2 | semidirect |
| 6. C2×C4⋊C8×C71 | C2 | semidirect |
| 11. #14556128 | C22 | semidirect |
| 18. #14556062 | C22 | semidirect |
| 22. C4⋊C8×C71 | C22 | semidirect |
| 28. C2×D284 | Q8 | semidirect |
| 66. D284 | C2×Q8 | semidirect |
| 85. C2×C71 | #474 | semidirect |
| 91. C71 | C2×#474 | semidirect |
| 96. C2×C4⋊C8 | D71 | semidirect |
| 112. C4⋊C8 | C2×D71 | semidirect |
| 177. C2 | #17986280 | direct (N × H) |