Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
280 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 280 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. #13117109 | C2 | semidirect |
| 3. #13117063 | C2 | semidirect |
| 6. #13112753 | C2 | semidirect |
| 7. C13×#1707 | C2 | semidirect |
| 69. #6090 | SD16 | semidirect |
| 74. #1707 | D13 | semidirect |
| 172. C13 | #12508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117109 | 2 |
| #13117093 | 2 |
| #13117063 | 2 |
| #13117061 | 2 |
| #13114428 | 2 |
| #13112753 | 2 |
| C13×#1707 | 2 |
| #12508 | 13 |