Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
316 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 89 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. #17986005 | C2 | semidirect |
| 3. C2×#14556044 | C2 | semidirect |
| 4. #17985954 | C2 | semidirect |
| 5. C2×#108×C71 | C2 | semidirect |
| 10. C2×D568 | C4 | semidirect |
| 82. C71 | #1978 | semidirect |
| 84. C2×#108 | D71 | semidirect |