Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 18. C2×#88069 | C4 | semidirect |
| 263. C13 | #13020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88069 | 2 |
| #13123704 | 2 |
| #13116557 | 2 |
| #13115749 | 2 |
| #13112933 | 2 |
| #13112926 | 2 |
| C2×C13×#362 | 2 |
| #13020 | 13 |