Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
260 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13117118 | C2 | semidirect |
| 2. #13117111 | C2 | semidirect |
| 5. #13114446 | C2 | semidirect |
| 7. C13×#1312 | C2 | semidirect |
| 73. #1312 | D13 | semidirect |
| 165. C13 | #12536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117118 | 2 |
| #13117111 | 2 |
| #13117060 | 2 |
| #13114446 | 2 |
| #13114428 | 2 |
| C13×#1312 | 2 |
| #12536 | 13 |