Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
552 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14556159 | C2 | semidirect |
| 3. #17986391 | C2 | semidirect |
| 4. #17986378 | C2 | semidirect |
| 5. #17986373 | C2 | semidirect |
| 6. C4×#11765849 | C2 | semidirect |
| 7. C2×C4⋊Q8×C71 | C2 | semidirect |
| 34. #11765849 | D4 | semidirect |
| 76. C4×C71 | #137 | semidirect |
| 84. C71 | #3152 | semidirect |
| 87. C2×C4⋊Q8 | D71 | semidirect |
| 161. C4 | #14556159 | semidirect |