Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
324 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 13. C4⋊Q8×C71 | C4 | semidirect |
| 61. C4×C71 | #103 | semidirect |
| 72. C71 | #1981 | semidirect |
| 80. C4⋊Q8 | Dic71 | semidirect |
| 134. C4 | #14556052 | semidirect |