Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. C2×#11718122 | C2 | semidirect |
| 2. #13113166 | C2 | semidirect |
| 3. #13112863 | C2 | semidirect |
| 4. #13112839 | C2 | semidirect |
| 301. C13 | #11766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718122 | 2 |
| #13113166 | 2 |
| #13112863 | 2 |
| #13112839 | 2 |
| C13×#2591 | 2 |
| #11766 | 13 |