Finite Group DatabasebetaFinite Group DatabasebetaOrder 832.
110 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 41 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×#6107 | C2 | semidirect |
| 5. #88075 | C2 | semidirect |
| 6. #88050 | C2 | semidirect |
| 7. #88048 | C2 | semidirect |
| 72. C13 | #470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×C22⋊Q8 | 2 |
| C2×#6107 | 2 |
| #88178 | 2 |
| C2×#6099 | 2 |
| #88075 | 2 |
| #88050 | 2 |
| #88048 | 2 |
| #470 | 13 |