Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 313. C13 | #9246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131739 | 2 |
| #13130300 | 2 |
| #13130178 | 2 |
| #13130110 | 2 |
| #13129701 | 2 |
| #13129681 | 2 |
| C2×#11718457 | 2 |
| #9246 | 13 |