Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 472 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. #13125980 | C2 | semidirect |
| 4. #13113452 | C2 | semidirect |
| 6. #13112734 | C2 | semidirect |
| 7. C13×#1558 | C2 | semidirect |
| 123. #1558 | D13 | semidirect |
| 293. C13 | #10141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125980 | 2 |
| #13125841 | 2 |
| C2×#11718750 | 2 |
| #13113452 | 2 |
| #13113189 | 2 |
| #13112734 | 2 |
| C13×#1558 | 2 |
| #10141 | 13 |