Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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×Dic142 | C2 | semidirect |
| 3. C2×#14556053 | C2 | semidirect |
| 6. #17985762 | C2 | semidirect |
| 7. #336×C71 | C2 | semidirect |
| 12. C2×#11765854 | C4 | semidirect |
| 75. C2×C4×C71 | SD16 | semidirect |
| 98. Dic142 | C22⋊C4 | semidirect |
| 133. C71 | #1880 | semidirect |
| 140. #336 | D71 | semidirect |
| 225. C2×C4 | #11765854 | semidirect |