Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 496 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. #13123474 | C2 | semidirect |
| 3. #13113435 | C2 | semidirect |
| 4. #13112728 | C2 | semidirect |
| 5. C13×#1464 | C2 | semidirect |
| 58. #88043 | D4 | semidirect |
| 107. #1464 | D13 | semidirect |
| 284. C13 | #9389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123474 | 2 |
| #13120523 | 2 |
| #13113435 | 2 |
| #13112728 | 2 |
| C13×#1464 | 2 |
| #9389 | 13 |